A triangle has vertices A(−1,2)
, B(2,5)
, and C(3,−4)
. If the image resulting from a rotation has vertices A'(−2,−1)
, B'(−5,2)
, and C'(4,3)
, write the rule that describes the rotation:

Answers

Answer 1

Answer:  [tex]\left(\text{x}, \text{y}\right) \to \left(-\text{y}, \text{x}\right)[/tex]

90 degree counter-clockwise rotation around the origin.

===================================================

Explanation:

Focus on A(-1,2) and A'(-2,-1)

The coordinates of point A have swapped to go from "-1,2" to "2,-1". Then we stick a negative in front of the new x coordinate to get "-2,-1"

In other words, we've gone from (x,y) to (y,x) to (-y,x)

Representing this with arrows looks like:

[tex]\left(\text{x}, \text{y}\right) \to \left(\text{y}, \text{x}\right) \to\left(-\text{y}, \text{x}\right)[/tex]

or in short

[tex]\left(\text{x}, \text{y}\right) \to \left(-\text{y}, \text{x}\right)[/tex]

which represents a 90 degree counter-clockwise rotation around the origin.

-----------------------------------

Let's see if this rule works with point B(2,5). We should rotate to B'(-5,2)

[tex]\left(\text{x}, \text{y}\right) \to \left(-\text{y}, \text{x}\right)\\\\\left(2,5\right) \to \left(-5, 2\right)[/tex]

Sure enough, it works for point B.

Lastly, let's check if it works for point C.

We should go from C(3,-4) to C'(4,3).

[tex]\left(\text{x}, \text{y}\right) \to \left(-\text{y}, \text{x}\right)\\\\\left(3,-4\right) \to \left(-(-4), 3\right)\\\\\left(3,-4\right) \to \left(4, 3\right)\\\\[/tex]

All points have been confirmed.


Related Questions

What is the quotient of 3.243 x 10^8 and 7.05 x 10^2

Answers

Answer:

4,600,000,000

Step-by-step explanation:

Don't forget the order of operations

3.243 × 10⁸/7.05

= 46,000,000 × 10²

= 4,600,000,000

or 4.6 × 10⁹

Answer:

4.6x10 to the power of 5

Step-by-step explanation:

7.05×10

2

3.243×10

8

Divide them.

\frac{3.243}{7.05}\times \frac{10^8}{10^2}

7.05

3.243

×

10

2

10

8

Divide numbers and 10's separeately.

0.46\times 10^6

0.46×10

6

Subtract exponents.

(4.6\times 10^{-1})\times 10^6

(4.6×10

−1

)×10

6

Rewrite as a number bigger than 1

4.6\times (10^{-1}\times 10^6)

4.6×(10 −1 ×10 6 )

Associate

4.6\times 10^5

4.6×10 5

Add exponents

Supposed the original quality is 1,500 and the new quality is 1,650 what should be the first step in solving for the percent increase what is the percent increase

Answers

The first step is to find the increase in quantity.

The percentage increase is 10%.

How to calculate the percentage?

From the information, the original quality is 1,500 and the new quality is 1,650.

The first step is to find the increase in quality will be:

= New quantity - Old quantity

= 1650 - 1500

= 150

The percentage increase will be:

= Increase / Old Quantity × 100

= 150 / 1500 × 100

= 10%

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help meeeeeeeeeee pleaseeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The dive lasted approximately [tex] \boxed{\sf 2.76} [/tex] seconds.

Step-by-step explanation:

Given formula: h = 16t²

Where, t is time in seconds and h is the distance in feet traveled by a free-falling body or object.

According to the question,

Height of the cliff from which diver dives (h) = 122 feet.

By substituting the value of height in the formula we get:

[tex]\rm \implies 122 = 16 {t}^{2} \\ \\ \rm \implies {t}^{2} = \dfrac{122}{16} \\ \\\rm \implies {t}^{2} = 7.625 \\ \\ \rm \implies t = \sqrt{7.625} \\ \\ \rm \implies t = 2.76 \: seconds[/tex]

Suppose that we use a hypothesis test to evaluate a claim about the proportion of narwhals with tusks longer than 3 meters. If we use a a chi-squared test, would the value of our test statistic be the square of the standardized value of the statistic that we would have used if we had chosen a binomial test instead?

Answers

Yes, as the asymptotic chi-squared distribution would emerge from normal approximating the binomial distribution and then squaring it.

Given statement;

Suppose that we use a hypothesis test to evaluate a claim about the proportion of narwhals with tusks longer than 3 meters. If we use a chi-squared test, would the value of our test statistic be the square of the standardized value of the statistic that we would have used if we had chosen a binomial test instead.

→ Yes, since by normal approximation of the binomial distribution and then squaring it would give us the resulting asymptotic chi-squared distribution.

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kara, who lives in canada, plays a popular online video game where every round has a winner. her best streak is 212121 wins in a row, and she wonders how that compares to other players. the game's website has a worldwide leaderboard of players with the longest win streaks for each month. kara finds that the top 200200200 longest streaks in the world in june had an average of about 636363 wins in a row. for which population is 636363 wins a legitimate estimate of the average longest streak?

Answers

For which population is 636363 wins a legitimate estimate of the average longest streak: Only the top 200200200 longest streaks worldwide in June

Mean = sum of data / Number of data

The 200200200 longest streaks weren't randomly selected from a larger population. They are not representative of all players in the world or Canada, but they are the top 200200200 longest streaks of all players. So,

Only the top 200200200 longest streaks worldwide in June will win.

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Find the slope of the line passing through the following points: (-12, -56), (-57,39).

Answers

[tex](\stackrel{x_1}{-12}~,~\stackrel{y_1}{-56})\qquad (\stackrel{x_2}{-57}~,~\stackrel{y_2}{39}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{39}-\stackrel{y1}{(-56)}}}{\underset{run} {\underset{x_2}{-57}-\underset{x_1}{(-12)}}} \implies \cfrac{39 +56}{-57 +12} \implies \cfrac{ 95 }{ -45 } \implies {\Large \begin{array}{llll} - \cfrac{19 }{ 9 } \end{array}}[/tex]

Answer:

- 19/9

Step-by-step explanation:

The slope formula is y1 - y2 divided by x 1 - x2. What u do is u take the y coordinates from both points, and subtracted them. And you do he same for the x coordinates. Then you divide the y coordinates by the x coordinates. IN this case, this is how we would solve it.

-56 - 39 / -12 - (-57) = -95 / 45 = - 19/9

If the resistance in an electrical circuit is held constant, the amount of current flowing through the circuit is directly proportional to the amount of voltage applied to the circuit. When 3 volts are applied to a circuit, 75 milliamperes of current flow through the circuit. Find the new current if the voltage is increased to 4 volts

Answers

New current if the voltage is increased to 4 volts. = 0.1 A or 100 mA

What is a current simple definition?

The speed at which electrons go past a particular location in an electrical circuit is known as current. Current = flow, at its most fundamental level. The international unit for measuring current is an amp (AM-pir), sometimes known as an amp.

amount of current flowing through the circuit is directly proportional to the amount of voltage applied to the circuit.

=> I  ∝  V

=> I  = V/R    

R is a constant

and R  is resistance

When 3 volts are applied to a circuit, 75 milliamperes of current flow through the circuit.

=> 75 x 10⁻³  = 3 /R

=> R = 3 x 10³/75

=> R =  10³/25

=> R = 40

I  = V/R    

V = 4

R = 40

=> I  = 4/40

=> I  = 1/10

=> I = 0.1 A

or 100 mA

new current if the voltage is increased to 4 volts. = 0.1 A or 100 mA

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alexander was studying the effect of playing rock music on plant growth. one of the plants was exposed to rock music for 24 hours a day for a period of 6 weeks. data on the growth of the plant was collected at the end of each week and plotted in a graph. based on the data, which would be the most reasonable measurement at the end of an 8 week period?

Answers

Eight decimeters are the most logical measurement after eight weeks, according to the statistics.

A line is described as a collection of points that stretches in both directions indefinitely. It has a single-length dimension. Collinear points are points that are located on the same line. Two points form a line, which is shown below an arrowhead.

If a line intersects two spots [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the line's equation,

y - [tex]y_1[/tex] = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex](x - [tex]x_1[/tex])

It is evident from the above graph that the line goes through points (0,0) & (1,1). Consequently, the trend line's equation is

y - 0 = [tex]\frac{1 - 0}{1 - 0}[/tex](x - 0)

y = x

To determine the most acceptable measurement after 8 weeks, change x = 8 in the equation above.

y = 8

After eight weeks, 8 decimeters are the most realistic measurement.

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The question is -

Alexander was studying the effect of playing rock music on plant growth. One of the plants was exposed to rock music 24 hours a day for 6 weeks. Data on the growth of the plant was collected at the end of each week and plotted in a graph, with time in weeks on the X-axis and height in decimeters on the Y-axis. Based on the data, which would be the MOST reasonable measurement at the end of 8 weeks?

A) 2 decimeters

B) 6 decimeters

C) 8 decimeters

D) 16 decimeters

Find the area of each trapezoid.
1)
8 in
6 in
4 in

Answers

The area of the given trapezoid is 24 square inches.

Area of trapezoid:

Area of the trapezoid is referred as the total space covered by its sides.

The formula to calculate the area of the trapezoid is

A = ½ (a + b) h

where

(A) is the area of a trapezoid,

'a' and 'b' are the bases that are parallel sides,

and 'h' is the height that is the perpendicular distance between a and b

Given,

Here we have the values 8 in, 6 in, and 4 in

Through the given values we have to find the area of the trapezoid.

Let us consider the base values of the trapezoid are 8in and 6 in and the height as 4 in.

Now, we have all the side value of the trapezoid.

Then we have to apply it on the formula,

Then we get,

Area = 1/2 (8 + 6) x 4

Area = 2 x (12)

Area = 24

Therefore, the area of the trapezoid is 24 square inches.

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Rod is looking for professional financial assistance. Rod has a solid grasp of how investing works, but needs a way to handle the actual buying and selling of stocks. Rod knows where he wants his portfolio to be over the long term, and he believes that he knows in which companies he wishes to invest. Recommend an appropriate financial professional for Ro

Answers

If Rod knows where he wants his portfolio to be over the long term, and he believes that he knows in which companies he wishes to invest. The appropriate financial professional for Rod is: a. Discount broker.

Who is a discount broker?

A Discount broker can be defined as a type of broker which gives out discount to investor to offers lesser commission fees or rate to investors

Discount broker tend to as well help to handle  the buying and selling of stocks and they as well rendered different services to investors. Most investors tend to make use of discount broker instead of full service broker because of the lower commission fees that discount brokers often charge.

Based on the given scenario i will recommend Rod to make use of discount broker as they are professional financial assistance when it comes to buying and selling of stocks.

Therefore the correct option is A.

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The complete question is:

Rod is looking for professional financial assistance. Rod has a solid grasp of how investing works, but needs a way to handle the actual buying and selling of stocks. Rod knows where he wants his portfolio to be over the long term, and he believes that he knows in which companies he wishes to invest. Recommend an appropriate financial professional for Rod.

a.Discount broker

b.Full-service broker

c.Financial planner

d.Investment Advisor

3. Martin finishes a swim race in 78.934 seconds. His teammate, Abby finishes the race in 83.978 seconds and their last teammate finishes the race in 84.765 seconds.
CHALLENGE: How many minutes in total did they spend completing the race?

Help me pkleasee :((

Answers

The number of minutes in total that the three swimmers spent in completing the race is; 4.12795 minutes

How to carry out units conversion?

We are given;

Time taken by Martin to finish swimming = 78.934 seconds

Time taken by Abby to finish swimming = 83.978 seconds

Time taken by the last teammate to finish the race = 84.765 seconds

Thus;

Total time taken by the three swimmers to finish the race = 78.934 + 83.978 + 84.765 = 247.677 seconds

Now, we want to know the total time they spent in minutes and we know that the unit of conversion is;

60 seconds = 1 minute

Thus;

247.677 seconds = (247.677 * 1)/60 = 4.12795 minutes

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In how many ways can a committee of five be selected from eight students if two particular students are to be included

Answers

There are 56 ways to choose a committee of students.

What is Combination?

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given that;

A committee of five be selected from eight students if two particular students are to be included.

Now,

Since, 2 members are must be included.

So, We have to choose 3 student from 8 student to form a committee.

Hence, The number of ways to choose 3 students from 8 students is,

= [tex]^{8} C_{3}[/tex]

= 8! / (8-3)! 3!

= 8! / 5! 3!

= 8 x 7 x 6 / 3 x 2

= 56

Thus, There are 56 ways to choose a committee of students.

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a train goes at a constant speed.it can travel 150 miles
in 2 1/2 hours. what distance will it travel in 2 hours.
PLEASE ANSWER

Answers

The distance traveled by the car in 2hours is 120miles

What is speed?

Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

from the definition speed= distance/time

since the train has constant speed,therefore the speed of the car = 150/2 1/2

= 60miles/hour

Distance= speed×time

Therefore for a time of 2hours the train will cover

60×2= 120 miles

Therefore the distance covered in 2hours is 120miles

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Find the slope of the line that contains the points:
(-6, 3) and (-4, 5).
1
-1
-5
-1/5

Answers

i am pretty sure it is 1
sorry if that is inaccurate

Mr. Williams is planting a garden. It measures 30 meter along one side. He makes a mark every 1/5 meter. What is the total number of marks that Mr. Williams will make?

Answers

Answer:  

150 marks

Step-by-step explanation:

Every meter has 5 marks.

30 meters × 5 marks = 150 marks

out of 150 coins, 90 are quarters. of the remaining coins, 40% are nickels and the rest are dimes and pennies. there are 5 dimes for every penny. how many pennies are there?

Answers

There are 6 pennies in a total of 150 coins.

Given that,

Ninety of the 150 coins are quarters. 40 percent of the remaining coins are nickels, with the remainder being dimes and pennies.

and also,

For every penny, there are five dime.

Total = 150 coins

Out of it, 90 are quarters so the remaining coins are 60

It is said that,

In that 60 coins 40% are nickels which means

40% of 60 is 24

So remaining coins are 36 (by subtracting 24 from 60)

It is said that there are 5 dimes for every penny which means

Using Algebra,

x + 5x = 36

6x= 36

x= 6

Therefore, there are 6 pennies in a total of 150 coins.

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There are 14 students in the school that like vanilla ice cream best. This represents 20% of the total number of students at the school. How many students are there in the school in total?​

Answers

There are 70 students in the school in total

In triangle ABC, side AB is one-third of the length of side AC. Side BC is 5 more than the length of side AC. The perimeter is 19. What is the length of side AC?

Answers

Answer:

AC = 6 units

===========

Given

AB = AC/3BC = AC + 5P = 19AC = ?

Solution

P = AB + AC + BC

Substitute and solve for AC

AC/3 + AC + AC + 5 = 192 1/3 AC = 147/3 AC = 14AC = 14*3/7AC = 6

Note:

Other sides are 2 and 11. This is not a correct question as sum of two smaller sides (2 + 6) is less than the longest one (11), hence there is no such possible triangle.

2. The lengths of a certain species of fish was
found to be normally distributed. The mean
length is 78 cm with a standard deviation
of 14 cm. In a school of 370 of these fish,
how many would be longer than than
92 cm

Answers

So, approximately 59 fish in the school would be longer than 92 cm.

What is equation?

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, logarithms, etc.

Here,

We can solve this problem using the normal distribution formula, which states:

z = (x - mu) / sigma

where z is the standard score, x is the raw score, mu is the mean, and sigma is the standard deviation.

To find the number of fish longer than 92 cm, we need to find the proportion of fish in the population with lengths greater than 92 cm. We can then multiply this proportion by the total number of fish in the school to get the number of fish longer than 92 cm.

First, we calculate the standard score for 92 cm:

z = (92 - 78) / 14

z = 1

Next, we look up the proportion of the standard normal distribution that corresponds to a z-score of 1. We can use a standard normal distribution table or calculator to find this value. The proportion of the distribution that is greater than z = 1 is approximately 0.1587.

Therefore, the proportion of fish in the population with lengths greater than 92 cm is 0.1587. To find the number of fish longer than 92 cm, we multiply this proportion by the total number of fish in the school:

370 * 0.1587 = 58.8

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In a card game, Bryce scores three times as many points as Jordan. Jordan scores four points fewer than Keturah, and Keturah scores two times as many points as Amelia.



If Amelia scores 5 points, how many points did Bryce score?

Group of answer choices

A. 6

B. 10

C. 18

D. 5

Answers

Answer:

b

Step-by-step explanation:

b

Answer: Amelia 5, Keturah 10, Jordan 6, Bryce 18

Step-by-step explanation:

If Amelia scored 5 and Keturah scored 2 times of Amelia's score, then 5 x 2 is 10, so Keturah scored 10. If Keturah scored 10 and Jordan scored 4 points fewer than Jordan's score, then 10 - 4 is 6, so Jordan scored 6. If Jordan scored 6 and Bryce scored 3 times of Jordan's score, then 6 x 3 is 18, so Bryce scored 18. So C is the correct answer.

how do you find proportional relationships? also, while answering this could you give me an example? Whoever CAN ANSWER THIS FIRST I WILL GIVE YPU 20 POINTs​

Answers

Answer:

A relationship is proportional if each pair of data values are related in the same way, by multiplying by a factor. You can recognize a proportional relationship by looking at data, an equation, or a graph.

Step-by-step explanation:

Answer:
simply just divide!

Step-by-step explanation:

okay, here is one example:

in 3 hours, you went 126 miles

In 4 hours, you went 168 miles

In 5 hours, you went 210 miles

So what is the unit rate of the miles(x) per hour(y).

The smallest number would be easier to divide. So you divide 126 and 3 and would be 42 miles.

Then find the quotient for the other ones.
168 divide 4 = 42

210 divide 5 = 42.

What is the same of all of them? 42 is the factor to all of the problems. So the proportional relationship (k) is 42. In a equation it would be y=42x (y=Kx)

To find the next number in the sequence you just multiply (x) with the factor.

Summary Consider the exponent properties (an)m = anm and an bn = (ab)". What is the main difference in these properties? When simplifying an exponential expression, how would you decide which one to use?

Answers

The difference between exponents [tex](a^n)^m = a^{mn}[/tex] and [tex]a^nb^n = (ab)^n[/tex] has been described below

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In [tex]2^4 = 2 \times 2 \times 2 \times 2[/tex]

Here, 2 is multiplied by itself 4 times.

If [tex]a^m = a \times a \times a \times....... \times a[/tex] (m times), a is the base and m is the index.

The laws of index are-

[tex]a^m \times a^n = a^{m + n}\\a^m \div a^n = a^{m-n}\\a^0 = 1\\a^{-n} = \frac{1}{a^n}\\\\a^m b^m = (ab)^m\\(\frac{a}{b})^n = \frac{a^n}{b^n}[/tex]

In case of  [tex](a^n)^m = a^{mn}[/tex], the base is single but in case of [tex]a^nb^n = (ab)^n[/tex], the base is a product of two numbers

If the base can be expressed as a product of different numbers,

[tex]a^nb^n = (ab)^n[/tex] is used

If the base cannot be expressed as a product, then [tex](a^n)^m = a^{mn}[/tex] is used

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Find the total amount given the original price, tax rate, and tip rate.
Original price: $90.34
Tax rate: 3.5%
Tip: 20%

Answers

Answer: 5468.9

Step-by-step explanation:

Answer:

I think its $90.75

Hopefully its right :)

y=4x^2-8x+3
find the vertex form

Answers

The vertex of the quadratic equations is at (1, -1), then the vertex form will be:

y = 4*(x - 1)^2 - 1

How to find the vertex form?

For a quadratic equation with leading coefficient a and a vertex (h, k), the vertex form is:

y = a*(x - h)^2 + k

And for a equation: y = a*x^2 + b*x + c

The x-value of the vertex is at:

h = -b/2a

In this case, we have:

y = 4x^2 - 8x + 3

So the x-value of the vertex is at:

h = -(-8)/2*4 = 1

To get the y-value we evaluate in x = 1

y = 4*1^2 - 8*1 + 3

y = 4 - 8 + 3 = -1

The vertex is at (1, -1) and the leading coefficient is 4, then the vertex form is:

y = 4*(x - 1)^2 - 1

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clint's cowboy shop buys horse feed for $\$10$ per cubic meter ($\text{m}^3$). clint's customers don't like the metric system, so they'll only buy horse feed by the cubic foot. how many cents should clint charge for a cubic foot ($\text{ft}^3$), if he wants to sell the horse feed for twice the price he bought it at?

Answers

In linear equation, 57 cents per cubic foot  should clint charge for a cubic foot .

What are a definition and an example of a linear equation?

An equation with only one variable is referred to as a linear equation in one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value. A linear equation in one variable would be 9x + 78 = 18.

cubic meter =  [3.28 ft ]^3  ≈ 35.29 cubic feet

So,

 price [ in cents] / 35.29  cubic feet  = 2000 / 35.29  ≈  57 cents per cubic foot

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Michael is having party. He'll have 12 tables for every 32 guests. Complete the table below to find the number of guests he can seat with 3
tables.
Number of guests 32
Number of tables 3

Answers

A proportion can be used to solve for the missing value.
x/3=32/12
Use cross multiplication to get the equation 12x=96
Divide both sides by 12 to get x=8
Micheal can seat 8 guests with 3 tables

=. A model plane is 24 cm in length. It represents a real plane that is 72 meters in
length. What is the scale used?

Answers

The scale used is 1 cm : 3m

The perimeter of an equilateral triangle is 63 inches. If the length of each side is (3x-9), find the value of x.

Answers

Answer:

x=

Step-by-step explanation:

There are 2 ways to do this.

4(3x-9)=63; 12x-36=63; 12x=99; x=8. Or: (3x-9)+(3x-9)+(3x-9)+(3x-9)=63; 12x-36=63; 12x=99; x=

Write an equation in slope-intercept form of the line that passes through $\left(-5,\ 19\right)$ and $\left(5,\ 13\right)$ .

Answers

Answer:

hmmm say 5)13

Step-by-step explanation:

i can't explain it

The equation of the line is y = (-3/5)x + 16

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line is given by:

y = mx + c

The line passes through:

(-5, 19) and (5, 13)

So,

m = (13 - 19) / (5 + 5)

m = -6/10

m = -3/5

Now,

(5, 13) = (x, y)

13 = (-3/5) x 5 + c

13= -3 + c

13 + 3 = c

c = 16

Now,

y = mx + c

y = (-3/5)x + 16

Thus,

The equation of the line is y = (-3/5)x + 16

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how many ways are there to distribute seven identical apples and six identical pears to three distinct people?

Answers

In 286 ways are there to distribute seven identical apples and six identical pears to three distinct people.

There are 7 identical apples and 6 identical pears.

So total number of fruits here = 7+6 = 13 identical fruits

The number of ways to distribute 13 fruits in three distinct people is given by [tex]=^{13}C_3=286[/tex] ways.

Hence the number of ways is 286.

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what is the mass percent (m/m), of a solution prepared from 50.0 g nacl and 150.0 g of water? what is the mass percent (m/m), of a solution prepared from 50.0 g nacl and 150.0 g of water? 25.0% 40.0% 3.00% 0.250% 33.3% Wage earners are eligible for overtime after 40 hours per week worked.Please select the best answer from the choices providedTF what strategic thinking tool might one use to model probable outcomes for a stock market investment of $1,000? Simplify these pls Ill brainlist.1) 3b (b+4) - 4 (b-5) 2) 12(3y + 6) what strategy did the British use to break apart the Spanish ships? two cars, car x and car y, begin accelerating from rest, at the same time. car x is more massive than car y. the net force exerted on each car is identical. after 10 seconds, which car has more momentum? What is the equation of the line that passes through the point (-4, 2) and has aslope of 1/4? What is an ethical behavior that students in extracurricular activities should show? Zaid Shaheed, 9th Grade SST. 1. How are collaborative tools used in your school, and why is this technology important? Give three examples and explain why each is important.a. First example: (5 points)b. Second example: (5 points)c. Third example: (5 points)Part 2: Conducting an Interview (10 points)For the second part of this project, you and your partner will develop several interview questions. You will ask these questions of someone who can explain how technology and collaboration have affected their career.1. Think about whom you will interview. It could be an older family member, a friend who lives in an urban or rural environment, or a person from a different country. The ideal candidate is someone who has a different perspective or culture from your own. You should interview someone who works with others and uses technology. Describe whom you will interview and why you chose this person. (2 points)2. Once you have chosen someone to interview, list at least four questions for that person. Ask how the person uses technology in their career. They may use collaborative tools at work, so make sure to ask what type of collaborative tools they use and how they have made that person's job easier or harder. These interview questions should be added to the document you created earlier. (2 points) 1.) Why is subject records management considered an indirect filing method?2.) In your own words, describe the storage and retrieval process for subject filing.3.) How do the alphabetic and encyclopedic arrangements differ? apple used informative television ads to highlight the benefits of its iphone over rival cell phones that used the android operating system. what type of advertising was this? Which statement best represents the process through which evolution occurs?Responses Why did the catholic church have such a problem with people being able to read the bible in their own language? in september, the board of directors of chaparral steel approved a stock split of 2-for-1. after the split, how many shares of chaparral steel stock will an investor have if he or she owned 1,100 shares before the split? Solve the inequality for x and identify the graph of its solution.4|x + 2| < 8 an ac adaptor for a telephone answering unit uses a transformer to reduce the line voltage of 80 v (rms) to a voltage 9.8 v. the rms current delivered to an answering system is 392 ma. if the primary (input) coil in the transformer in the adaptor has 170 turns, how many turns are there on the secondary (output) coil? answer in units of turns. which of the following is shown on the income statement of both merchandising and service companies? a. gross profit b. operating expenses c. cost of goods sold d. sales revenues the parent asks the nurse whether a child with hemiparesis due to spastic cerebral palsy will be able to walk normally because he can pull himself to a standing position. which response by the nurse would be most appropriate? Diego's solar car traveled 3.16 meters farther than Justine's solar car. The equation d=j+3.16 represents this situation. What is the value of j if d=158? Por que tienen ustedes que estudiar?(Nosotros) _______ que estudi__ porque manana ______ a ten____ un examen.(Fill in the blanks)This is for my spanish 1 study guide.