Write the equation of a line in point slope form that has a slope of 1/3 and passes through the point (6,-2)

Answers

Answer 1

The equation of a line in the point-slope form that has a slope of 1/3 and passes through the point (6,-2) is [tex]y+2 =\frac{1}{3} (x-6 )[/tex].

What is point-slope form?A straight line is represented using its slope and a point on the line using point slope form. In other words, the point-slope form is used to determine the equation of a line whose slope is "m" and passes through the point ([tex]x_{1}, y_{1}[/tex]). The equation of a straight line can be expressed in various ways, Point slope shape is one of them. The point slope form's equation is as follows:[tex]y-y_{1} =m(x-x_{1} )[/tex]where (x, y) is a chance point on the line that should be treated as a variable when using the formula.A fixed point on the line is ([tex]x_{1}, y_{1}[/tex]).The slope of the line is m.

Calculation

[tex]y-y_{1} =m(x-x_{1} )[/tex]

[tex]y-(-2) =\frac{1}{3} (x-6 )[/tex]

[tex]y+2 =\frac{1}{3} (x-6 )[/tex]

Therefore, the equation of a line in the point-slope form that has a slope of 1/3 and passes through the point(6, -2) is [tex]y+2 =\frac{1}{3} (x-6 )[/tex]

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Related Questions

everyone can someone help me here please (complete solution and graph)​

Answers

Answer:

1: x^2+y^2-6x-4y-3=0

2: x^2+y^2-10x+4y=0

3: x^2+y^2-10x+2y+1=0

Micah is making salsa at a factory using tomatoes
and onions in the ratio of 5:2. If the total volume
of salsa Micah makes is 147 cups, find the volume
of the tomatoes Micah uses.

Answers

Answer: 21 Tomatoes

Step-by-step explanation:

5 + 2 = 7

147 / 7 = 21

21 Tomatoes

Solve for an angle in right triangles

I just need the answer i don’t need the whole thing explained :)

Answers

Answer: ∠B≈39.81°

Step-by-step explanation:

[tex]\displaystyle\\tg\angle B=\frac{AC}{BC} \\\\tg\angle B=\frac{5}{6} \\\\\angle B=arctg\frac{5}{6} \\\\\angle B\approx39.81^0[/tex]

Parallelogram ABCD has vertices A(1,1) , B(17,1) , C(22,13) , and D(6,13) what is the area in units of parallelogram ABCD

Answers

The vertices of a parallelogram are given, according to which the area of the parallelogram will be equal to 58 units.

What is perimeter?

The perimeter of a shape is its boundary's length, regarded as a whole. A form's circumference can be calculated by adding the lengths of all of its sides and edges. Utilizing linear length units like centimeters, millimeters, yards, and feet, it is determined.

The total of all a parallelogram's sides is its perimeter.

Firstly, solve for vertices AB:

AB = √(17- 1)² + (1 - 1)² = 16

Then,

BC = √(22 - 17)² + (13 - 1)² = 13

Then,

CD = √(6 - 22)² + (13 - 13)² = 16

Lastly,

AD = √(6 - 1)² + (13 - 1)² = 13

Add all the values,

P = 16 + 13 + 16 + 13

P = 58 units.

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4) Simplify the expression and identify any restrictions on x. ​

Answers

Answer:

6X/X^2-2X+1

Step-by-step explanation:

x

2

−3x+2

9x

2

+18x

÷

2x−4

3x

2

+3x−6

Divide  

x

2

−3x+2

9x

2

+18x

 by  

2x−4

3x

2

+3x−6

 by multiplying  

x

2

−3x+2

9x

2

+18x

 by the reciprocal of  

2x−4

3x

2

+3x−6

.

(x

2

−3x+2)(3x

2

+3x−6)

(9x

2

+18x)(2x−4)

Factor the expressions that are not already factored.

3(x−2)(x+2)(x−1)

2

2×9x(x−2)(x+2)

Cancel out 3(x−2)(x+2) in both numerator and denominator.

(x−1)

2

2×3x

Expand the expression.

x

2

−2x+1

6x

24 greater than or equal to 2X - 10 less than -6

Answers

Greater than is the answer

0.000007328 rounded to the nearest millioneth,the numbers is about

Answers

When the numerical data (number) 0.000007328 is rounded to the nearest millionth, the number is about 0.000007.

What is a place value?

A place value can be defined as a numerical value which denotes a digit based on its position in a given number and it includes the following:

TenthsHundredthsThousandthsTen thousandthsHundred thousandthsMillionths.UnitTensHundredsThousands.Tens of thousands.Hundred of thousands.Millions.Tens of millions.Hundreds of millions.Billions.

Based on the numerical data (number) provided above, the place value of seven (7) is millionth and it would be rounded up as seven (7) because the next number on its right (3) is less than five (5) and as such, it can seven (7) rounded up to eight (8).

In this context, we can reasonably infer and logically deduce that 0.000007 is a numerical data (number) that represents millionth based on the place value of seven (7).

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4. A triangle has two sides measuring 8 cm and 15 cm. Write an inequality to represent the possible lengths of the third side.​

Answers

Answer:

7 < x < 23

Step-by-step explanation:

given 2 sides of a triangle then the third side x is in the interval

difference of 2 sides < x < sum of 2 sides , that is

15 - 8 < x < 15 + 8

7 < x < 23

Please Help. The depth at which whales dive, y, in feet, as related to the duration of the dive, t, in seconds, is represented by the linear model y hat equals 4.8 plus 11.23 times t. If the dive duration is 5 seconds, what is the predicted depth of the dive?
0.02 feet
60.95 feet
−60.95 feet
−0.02 feet

Answers

Using the linear function, the depth of the dive at 5 seconds is 60.95 feet

Linear Function

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.

In this question, we can represent the problem using a linear function or equation and plug in the value of our unknown.

y = 4.8 + 11.23t

Using this function, we can find the depth at 5 seconds;

y = 4.8 + 11.23(5)

y = 60.95ft

The depth of the whale at 5 seconds is 60.95 feet

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You have a $250 card to use at a sporting goods store. Each pair of sneakers is worth $80 and a pair of sacks costs an inequality that represents the possible numbers of x pairs of socks you can buy when you buy 2 pairs of sneake

Answers

The inequality that represents the the possible numbers of x pairs of socks you can buy when you buy 2 pairs of sneakers, using a system of equations, is of:

y ≤ 7.

What is a system of equations?

A system of equations is a set of equations involving multiple variables that are related, and then operations are made to solve these equations and identify the numeric value of each variable in the context of the problem from which the system was built.

For this problem, the variables are given as follows:

Variable x: number of pairs of sneakers bought.Variable y: number of pairs of socks bought.

You have a $250 card to use at a sporting goods store. Each pair of sneakers is worth $80 and a pair of socks costs $12, hence the inequality regarding the total spending is:

80x + 12y ≤ 250.

When two pairs of sneakers are bought, we have that:

x = 2.

Hence the inequality regarding how many pairs of socks can be bought is:

80(2) + 12y ≤ 250.

160 + 12y ≤ 250.

12y ≤ 90

y ≤ 90/12

y ≤ 7. (rounded down, as you can buy 7 pairs of socks but not 8).

Missing Information

The cost of a pair of socks is of $12.

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scores on a standard iq test for people aged 20 to 34 are normally distributed with mean 110 and standard deviation 25. what is the probability that a randomly selected young adult will score between 85 and 160 on this iq test? round your answer to four decimal places.

Answers

The probability that a young adult chosen at random will achieve an IQ between 85 and 160 is 0.8185.

The problem states that;

A typical IQ test result for individuals between the ages of 20 and 34 has a mean of 110 and a standard deviation of 25, and the values are regularly distributed.

To get the probability that a randomly selected young adult will score between 85 and 160 on this IQ test.

Let,

P(85 < x < 160) = P[ (85 - 110)/ 25) < (x - μ) / σ < (160 - 110) / 25) ]

                        = P(-1 < z < 2)

                        = P(z < 2) - P(z < -1)

                        = 0.9772 - 0.1587

                        = 0.8185

Therefore, the probability that a randomly selected young adult will score between 85 and 160 on this IQ test is 0.8185.

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Which of the following is true about the constant of proportionality? Select all that apply. Multiple select questions. cross out
A) The constant of proportionality is also the unit rate. cross out
B) The constant of proportionality is always equal to 1. cross out
C) The constant of proportionality is always equal to 0. cross out
D) There is no constant of proportionality in a nonproportional relationship. cross out
E) If two quantities are proportional, the constant of proportionality is the constant ratio between them.

Answers

Answer:

D

Step-by-step explanation:

how do i work this out please?

Answers

By evaluating the linear equation we will see that:

A = -3

B = 4

And the correct line is the purple one.

How to get the values of A and B?

We know that the points (0, A) and (B, 0) lie on the line 3x - 4y = 12

To find the value of A, we can replace the values of the point on the line, so we get:

3*0 - 4*A = 12

-4*A = 12

A = 12/-4 = -3

A = -3

To get the value of B we do the same thing.

3*B - 4*0 = 12

B = 12/3

B = 4

So the points are (0, -3) and (4, 0).

Then the correct line is the purple one.

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hi i need some help with this math problem

Answers

1 is value of x in given function.

What is the definition of a function?

An association between a value from the set of the first components of the ordered pairs and a specific value from the set of the second components is known as a function. a relationship between a set of inputs and a set of potential outputs, where each input is connected to only one possible output.

f(x) = 2x + 4/6

put x = - 2  in equation

  f(-2) = 2 * -2 + 4 /6

          = -4 + 4 /6

          = 0/6

           = 1

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Pls solve this problem

Answers

Answer: -22/5 or -4.4

Step-by-step explanation:

Simplify so 2(22/7*10)(10+h)=352

Distribute so (2*22/7*10)(10) + (2*22/7*10)(h) = 352

Which would equal 4400/7 +440/7h=352

Subtract 4400/7 to both sides

That equals 440/7h=-1396/7

Multiply both sides by 7/440

h=-22/5

Rafael has saved up $650 to buy a new laptop. The laptop he wants is in stores for $749.99 but is on sale for 25% off. After the discount is removed, a tax rate of 5.75% is added on. After Rafael buys the laptop, how much money will he have left over? Remember to round to the nearest hundredth as you go because this is money.

Answers

uhmm,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

Which units are used to measure both velocity and speed? Select three options.

m/s
d/t
km/h
mph
m2

Answers

Answer:

M/s, km/h, and mph

Step-by-step explanation:

M/s = meters (travelled) per second

km/h = kilometers (travelled) per hour

mph= miles (travelled) per hour

Answer:

m/s

km/h

mph

Step-by-step explanation:

: )

1 can go on saturday and 14 can go on sunday; some of them can go on both days. how many people can only go to the game on saturday? 6

Answers

Answer:

No solution

Step-by-step explanation:

The reason why I say this problem has no solution is due to the fact that it says only one person may go on Saturday yet some fraction of the people between the numbers 1 - 14 can go. We have no idea what this fraction is, leading to a paradox of multiple equations and guesses desperately trying to figure out the number. Thus, the problem has no solution.

Hope this helps.

[24+9-(5x3)+10]÷2

what is the value of the following the expression

Answers

Answer:

14

Step-by-step explanation:

[tex](33 - (15) + 10) \div 2 \\ 33 - 15 + 10 \div 2 \\ 18 + 10 \div 2 \\ 28 \div 2 \\ = 14[/tex]

Answer:14

Step-by-step explanation:1/2 (24+9- 5 x 3 + 10

How many times greater is 1.88 times 10^2 than then mass of 2.35 times 10^-1

Answers

1.88 × 10² greater than 2.35 × 10⁻¹ by 800 times which is found by using division.

The two numbers given are:

1.88 times 10²

= 1.88 × 10²

And

2.35 times 10⁻¹

= 2.35 × 10⁻¹

We need to find that how much time is 1.88 × 10² greater than 2.35 × 10⁻¹.

We will use division for the same.

So, we get that:

= 1.88 × 10² / 2.35 × 10⁻¹

Using the rules of exponents and simplify the expression, we get that:

= 0.8 × 10 ²⁺¹

= 0.8 × 10³

= 0.8 × 1000

= 800

Therefore, we get that, 1.88 × 10² greater than 2.35 × 10⁻¹ by 800 times which is found by using division.

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16-2t=5t+9 One solution was found : t = 1 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation

Answers

Answer

Step-by-step explaination:

This is an algebraic equation. We have to solve it like this......

16-2t=5t+9

-5-2t=-16+9

-7t=-7

Ans: -7t=-7

Find X and Y, this was too hard for even my parents

Answers

Answer:

6x+97

Step-by-step explanation:

Hint: 3 sides of a triangle adds up to 180*.

((i know ur gonna clown on me for not giving the answer(i know the answer :d)but trust me the if u get da hint, ull solve it fine)

Answer each question below, showing all work.
A local movie theater is showing a new movie this weekend. The theater sold 144 tickets. Adult
tickets cost $9.00 each and a child's ticket costs $6.00 each. The theater collected $1164.00 from these
ticket sales. How many adult tickets and how many children's tickets were sold? Only an algebraic
solution will be accepted.

Answers

Answer:

a=100, c=44

Step-by-step explanation:

# of adult tickets is represented by a

# of child tickets is represented by c

C+A=144

9a+6c=1164

system of equations is solved by solving 1 equation for 1 variable first.

c=144-a

plug in c in the second equation

9a+6(144-a)=1164

9a+864-6a=1164

combine like terms

3a=300

a=300/3

a=100

now we know a is 100 we can plug it into the original equation of c=a=144

c+100=144

c=144-100

c=44

Quadrilateral ABCD has vertices A(9, 9), B(—7, 9),
C(-8,-5), and D(4,-5). In terms of units, what is the
perimeter of quadrilateral ABCD?
Round your answer to the nearest tenth.

Answers

Answer:get a tutor

Step-by-step explanation:

its free

Compare the graph of -6 ≤ x ≤-4 with the graph of x ≤-6 or x ≥-4.

Answers

Answer: By compare the graph of -6 ≤ x ≤-4 with the graph of x ≤-6 or x ≥-4 we can see that in first graph value is x belongs to [-6,-4] and in second graph we can see that x belongs to (-∞,-6] ∪ [-4,∞)

What does a coordinate mean in math?

a pair of values used to specify a point's position on a coordinate plane using the horizontal and vertical breakups from the two reference axes. typically represented by the pair of x-values and y-values (x,y).

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14 workers can dig 9 m long trench in one day. How many workers would dig 27 m long trench of the same type in 1 day?

Answers

Answer:

42 workers

Step-by-step explanation:

27 divided by 9 = 3 (how much we need to multiply workers by)

14x3=42

Can anyone write the equation of the graph?

Answers

The absolute value function y = |x - 3| + 5 generates the representation set on Cartesian plane.

What equation is behind a given graph?

In this question we need to determine the equation behind a representation set on a Cartesian plane. After a quick inspection, we find that the representation shows an absolute value function of the form:

y = |x - a| + b

Where:

a - Horizontal translation factor.b - Vertical translation factor.

Based on all the given facts, the primitive absolute value function (f'(x) = |x|) is translated horizontally 3 units in the +x direction and vertically 5 units in the +y direction. If we know that a = 3 and b = 5, then we find the absolute value function y = |x - 3| + 5, whose representation is shown below.

In a nutshell, the representation comes from the absolute value function y = |x - 3| + 5.

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A flower shop sells bouquets in a basic
arrangement and in a deluxe arrangement.
The table shows the sales of each type for
d days.
Arrangement
Basic
Deluxe
Cost ($)
17
25
Number Sold
8d-7
3d +6
Part A Write an expression that represents the difference between the number of basic
arrangements and deluxe arrangements sold.
Part B The store sells more basic arrangements than deluxe arrangements. After 7 days,
how much money will the store have earned on the number of basic arrangements that
exceeds the number of deluxe arrangements? Explain how you found your answer.

Answers

Part A: The formula 5d-13 indicates the distinction between the quantity of basic arrangements and deluxe arrangements sold.

Part B: The difference between the money the store made from basic arrangements and deluxe arrangements is $158.

What does an expression mean?

An expression, also known as a mathematical expression, in mathematics is a finite combination of symbols that are well-formed in accordance with principles that depend on the context. Mathematical symbols can be used to represent variables, operations, functions, brackets, punctuation, grouping, and integers (constants) to help with logical grammar and operation ordering.

Part A: (8d-7)-(3d+6)

=8d-7-3d-6

=5d-13

Part B: For 7 days, d=7

              Cost        No. of sold

Basic       17          8(7)-7=49

Deluxe     25         3(7)+6=27

Therefore, Basic=17*49=$833

Deluxe=25*27=$675

Difference=833-675=158

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How to find correlation coefficient? I'm stuck pls help me

(0,1132), (1,1107), (2,1000), (3,1019)

Answers

The correlation coefficient of the data (0,1132), (1,1107), (2,1000), (3,1019) is -0.89

How to determine the correlation coefficient?

Correlation coefficients are used to measure how strong a relationship is between two variables

Given: (0,1132), (1,1107), (2,1000), (3,1019)

x    >>>>     y     >>>>  x²  >>>>       y²  >>>>   xy

0              1132            0            1281424         0

1               1107             1            1225449       1107

2              1000           4            1000000      2000

3               1019            9            1038361       3057

................................................................................................

6               4258         14            4545234      6164

.................................................................................................

The formula for the correlation coefficient is:

r = ( n∑xy -(∑x)(∑y) ) / ( √(n∑x² - (∑x)²) .√(n∑y² - (∑y)²) )

From the table:

∑x = 6, ∑y = 4258, ∑x² = 14, ∑y² = 4545234 and ∑xy = 6164

n = 4 (number of data points)

Substituting the values into the formula will give:

r = ( 4×6164 -(6)(4258) ) / ( √(4×14 - (6)²) .√(4×4545234 - (4258²) )

r = 24656-25548 / √(20).√(50372)

r = -892/√(1007440)

r = -0.89

Therefore, the correlation coefficient is -0.89

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For which value of 0 is sin 0=-1?
y

Answers

sin 270° = sin 3π/2 = -1, the value of 0 is 270° or 3π/2.

Given,

sin 0 = -1

We have  to find the value of 0.

Lets see the trigonometric table for sin.

sin 0 = sin 0 = 0sin 30°= sin π/6 = 1/2sin 45° = sin π/4 = 1/√2sin 60° = sin π/3 = √3/2sin 90° = sin π/2 = 1sin 180° = sin π = 0sin 270° = sin 3π/2 = -1sin 360° = sin 2π = 0

From the above table we get the value of sin 0

The value -1 is for sin 270° which is equal to sin 3π/2

That is,

sin 270° = sin 3π/2 = -1, the value of 0 is 270° or 3π/2.

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