a. Use the points (5, 1273) and (10, 2546) to write an equation for the line.
Type an equation in y=mx form
(Type an equation: Use integers or fractions for any numbers in the equation.)

Answer:

positive 3

Step-by-step explanation:

Steps:

1. first you must get y by itself/isolate it to one side of the equation to get it in the format of y = mx + b

-3x + 2y = 6

+3x           +3x            add 3x to both sides to get 2y by itself
____________

2y = 3x + 6                -3x+3x cancels out and becomes 0

-------------------------
         2                        divides both sides by 2 to get y by itself

y = (3/2)x + 3

2. Looking at the equation, we know that 3 is the y-intercept because the "b" in the slope-intercept equation is always the y-intercept.

By using the fact that the angles are supplementary, we can write and solve a linear equation to find that x = 62.

In the image, we can see two supplementary angles, where by definition, two angles are supplementary if their addition is equal to a plane angle (an angle of 180°).

With that in mind, we can write the linear equation:

x + 118 = 180

So we just need to isolate x in that simple linear equation.

If we subtract 118 in both sides, we will get:

x + 118 - 118 = 180 - 118

x = 62

So the unknown angle has a measure of 62°.

Learn more about supplementary angles:

https://brainly.com/question/12919120

#SPJ1

Answer:

5 is added each time. the next numbers are, 29, 34 and 39

Step-by-step explanation:

9+5 = 14 14+5=19 19+5=24

2y(xy+4)

Hope this answers your question!

Answer:

2y(xy+4)

Step-by-step explanation:

First, Distribute

you get 2y(xy+4) because you have to isolate the like terms than find a gcf of the terms

Step-by-step explanation:

e⁰ = 1

so, we have

(f² / (f³gh⁶))⁸ = f¹⁶ / (f²⁴g⁸h⁴⁸) = 1 / (f⁸g⁸h⁴⁸)

FYI - depending on what your teacher wants to see as simplified answer, it could be also

1 / (fgh⁶)⁸

or

(1 / (fgh⁶))⁸

but normally it should be the first result form above

1 / (f⁸g⁸h⁴⁸)

The two z values that the middle 67% of the area is bounded by them are -3.999 and 3.999.

In all continuous probability distributions,  it is possible to calculate the percentiles, which are defined as the value of the random variable that leaves an area equal to the percentile to the left of the distribution. When it comes to a central percentile, the area is distributed and the percentile is determined using a table of values or technology.

The area between the two boundaries is 0.67and the remaining area is 0.33  (= 1-0.56) , which is to the left of it.

Look into the z table to find the area between z=-x and mean and z=x and mean. According to z score table z=0.44 has 0.67 of the area to the left of (below) it. That means z=-0.44 has 0.67 of the area to the right of (above) it.

Therefore, the two z values are 0.44  and -0.44.

Learn more about the Standard normal distribution here:

https://brainly.com/question/4079902

#SPJ13

The two z values that the middle 67% of the area is bounded by them are -3.999 and 3.999.

In all continuous probability distributions,  it is possible to calculate the percentiles, which are defined as the value of the random variable that leaves an area equal to the percentile to the left of the distribution. When it comes to a central percentile, the area is distributed and the percentile is determined using a table of values or technology.

The area between the two boundaries is 0.67and the remaining area is 0.33  (= 1-0.56) , which is to the left of it.

Look into the z table to find the area between z=-x and mean and z=x and mean. According to z score table z=0.44 has 0.67 of the area to the left of (below) it. That means z=-0.44 has 0.67 of the area to the right of (above) it.

Therefore, the two z values are 0.44 and -0.44.

Learn more about the Standard normal distribution here:

brainly.com/question/4079902

#SPJ13

Option A. The statement that can be said to be true for h is h(2) = 16

If we look at the domain and range, we can rule out some straight away.

For h - 3 = -1

this is outside of the range of the such that -1 ∉ 1 ≤ hx ≤ 25

When h is 13 = 18

This is also outside of the domain such that 13 ∉ -3 ≤ x ≤ 11

When h is 8 = 21

there is going to be a contradiction with what the question has stated earlier. This is because we are told that h(8) = 19

Therefore on h(2) = 16

Read more on domain of functions here: https://brainly.com/question/28077774

#SPJ1

Answer: Can't Say for sure but probably it is so I would Say Yes.

What is the place value of digit 4 in 405,799:

4: one hundred thousandth place

0: ten thousandth place

5: one thousandth place

7: hundredth place

9: tens place

9: ones place

Answer:

100,000 thousand

Step-by-step explanation:

The number 405799 has six digits, and each digit has a specific place value based on its position within the number. The rightmost digit, which is 9, is in the one's place. Moving to the left, the next digit is 9 again, but this time it is in the ten's place. Continuing left, the next digit is 7, which is in the hundred's place. The digit 5 is in the thousand's place, and the digit 0 is in the ten thousand's place. Finally, the digit 4 is in the hundred thousand's place, so the place value of the digit 4 in 405799 is 100,000.

Answer:

Add the picturess!!!!!

Step-by-step explanation:

Answer:

x+7=4/3x-1/3 One solution was found : x = 22 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ... 3x-9/4x-12: correct answer right here

Step-by-step explanation:

By evaluating in x = 0, we can see that the function with the greater y-intercept is the first one:

y=-x+6

For any function y = f(x), we define the y-intercept as the value that y takes when we evaluate the function in x = 0.

For the first function:

y = -x + 6

The y-intercept is:

y = -0 + 6 = 6

While for the second function:

y = 2x - 3

Evaluating in 0 we get:

y = 2*0 - 3 = -3

So the y-intercept of the first function is 6, and the one of the second function is -3.

Then the first function has the greater y-intercept.

Learn more about y-intercepts:

https://brainly.com/question/1884491

#SPJ1

The plane flies at a speed of 150mph

A plane can fly 300 miles in the same time as it takes a car to go 120 miles

Let the time taken be t

Let the speed of the plane be x

the car travels 90 mph slower than the plane,

Speed of the car is x - 90

Speed = distance / time

Time taken by plane = time taken by car

300/ x = 120/x - 90

300(x - 90) = 120x

300x - 27000 = 120x

300x - 120x = 27000

180x = 27000

x = 27000/180

x = 150

Therefore, the plane flies at a speed of 150mph

To learn more about speed and distance refer here

https://brainly.com/question/17146782

#SPJ1

Answer:

[tex]\frac{4}{7}[/tex]

Step-by-step explanation:

Slope = m

m = [tex]\frac{y_{2}- y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{7-3}{9-2}[/tex] = [tex]\frac{4}{7}[/tex]

Answer:

        2813

m = ----------

         932

Step-by-step explanation:

619m + 313m = 2813

932m = 2813

÷932      ÷932

        2813

m = ----------

         932

I hope this helps!

Answer:

[tex]m=\frac{2813}{932}[/tex]

Step-by-step explanation:

Combine like terms:

[tex]{619m}+{313m}=2813{932m}=2813[/tex]

Divide both sides by the same factor:

932m=2813

[tex]\frac{932m}{932}}=\frac{2813}{932}}\\[/tex]

Simplify

Cancel terms that are in both the numerator and denominator

[tex]m=\frac{2813}{932}[/tex]

The equation formed when x is the subject of the function f(x) = x² - 9, has two values of output for each input value to the function, therefore;

f(x) = x² - 9 does not have an inverse.

An inverse of a function is an anti function that reverses the values in the output into the input values thereby undoing the operations performed by the function.

A function f has an inverse if and only if it is bijective, such that there is a one to one correspondence between the set of the input elements and the set of the output elements

A function that has an inverse is said to be a bijective or invertible function or a function with one-to-one correspondence

The function in the question f(x) = x² - 9

Making x the subject of the function to verify if it has an inverse gives;

x² = f(x) + 9

[tex]x = \pm\sqrt{f(x) +9}[/tex]

Putting x = f⁻¹(x) gives;

[tex]f^{-1}(x) = \pm\sqrt{x +9}[/tex]

Therefore, each value of x gives two values of f⁻¹(x), such that the set of the output of inverse function, f⁻¹(x) does not have a one-to-one correspondence with the set of values of x.

The function f(x) = x² - 9 is not invertible and therefore does not have an inverse function.

Learn more about the inverse of a function here:

https://brainly.com/question/3831584

#SPJ1

Answer:

3/10 meters^2

Step-by-step explanation:

we multiply length by width to get are

6/8x4/10

6*4/8*10

24/80

3/10

Hopes this helps please mark brainliest

Answer: Hi the answer to that would be 3/10.

Step-by-step explanation: The first one explains the formula and the second one shows my work. I hope this helps!!!

4500 is the Cost price.

What do you mean by price at cost?

SP = 5625

Profit = 25%

CP = ?

 CP =    5625/125 * 100

       = 45 * 100

       = 4500

Learn more about Cost price

brainly.com/question/17716968

#SPJ13

Answer:

10x+6xy+4

Step-by-step explanation:

2(5x+2)-(3y) 2x-4x

By removing the bracket

10x+4-6xy+12xy

10x+4+6xy

10x+6xy+4

The value of f(9) is 13

The function f(x) = x + 4

The function g(x) = 3x / x+1

The function is the mathematical statement that show the relationship between one variable and another variable. If one variable is independent variable and another variable will be dependent variable. Also the function is the equation that shows the relationship between the input  and output.

The function

f(x) = x + 4

We have to find the value of f(9)

We have to substitute the value of x = 9 in the function

f(9) = 9 + 4

Add the terms

f(9) = 13

Hence, the value of f(9) is 13

Learn more about function here

https://brainly.com/question/20534410

#SPJ9

Answer:

If the coordinates of at least two points in the line are given, the slope (m) may be calculated by,                               m = (y2 - y1) / (x2 - x1

The perpendicular distance from R to PQ is ​346 feet.

What are the trigonometric functions?

The right-angled triangle's angle and the ratio of its two side lengths are related by the trigonometric functions, which are actual functions. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

We have,

consider the sides of leaning tower are,

opposite side of the angle 56° (x) = 180.5 feet.

Adjacent side of the angle 56° (y) = 125 feet.

We know,

[tex]tan\theta =\frac{ opposite \ side}{ adjacent \ side} = \frac{x}{y}[/tex]

[tex]\theta = \ tan^{-1} \left(\frac{ opposite \ side}{ adjacent \ side} \right)[/tex]

The angle of elevation is  [tex]\theta = \ tan^{-1} \left(\frac{180.5 }{125} \right)[/tex]

θ = 56°

The perpendicular distance from R to PQ is RQ ​

[tex]sin\theta = \frac{opposite side}{hypotanous} = \frac{180.5}{y}[/tex]

sin(56) = 180.5/PQ

RQ = 180.5/sin(56)

RQ = - 346.08

RQ = 346 (distance never be negative),

Hence, the perpendicular distance from R to PQ is ​346 feet.

To learn more about the trigonometric functions visit,

https://brainly.com/question/1143565

#SPJ9

If you multiply by 12 you will get rid of all your fractions.

In mathematics, a linear equation is one that may be written in the form where the variables are alphabets, and the coefficients are frequently real integers. An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

It is rather simple to locate both intercepts when an equation is stated in this way (x and y).

The given linear equation is

6 - (3/4)x + (1/3) = (1/2)x + 5

In this equation the fractions are
(3/4), (1/3) and (1/2)

Take the LCM of 4, 3, and 2

LCM(4, 3, 2) = 12

So, if we multiply the equation with the number 12  we can eliminate the fractions.

To know more about linear equations, visit:

brainly.com/question/13955204

#SPJ1

The calculation of the following income statement figures are as follows:

The income statement is the first financial statement that summarizes the revenues and expenses for a business period to arrive at different profit points.

One of the profit points is the gross profit, which is the difference between the sales revenue and the cost of goods sold.

The other profit points include the operating income, income before tax, and net income.

Gross sales                            $170,000

Sales returns and allowances   9,000

Net Sales                               $161,000

Cost of goods sold:

Beginning inventory $8,000

Net purchases           18,000

Ending inventory       (5,000) $21,000

Gross profit                          $140,000

Operating expenses             (56,000)

Net Income                          $84,000

Thus, the calculation of the income statement figures shows a net income of $84,000.

Learn more about the income statement at https://brainly.com/question/15169974

#SPJ1

According to the histogram, the percentage of participants aged 40 to 59, who attended the restaurant's food festival, is 35%.

A histogram approximately represents a distribution of grouped data with numerical values.

A histogram uses rectangular bars to show the frequency of data items in successive numerical intervals of equal sizes.

Age Group (year)  Number of People

0 to 19                            20

20 to 39                         40

40 to 59                         60

60 to 79                         50

Total                             170

Percentage of ages 40 to 59  =  60/170 x 100 = 35.29%

Thus, using the histogram, we can assure the restaurant manager that 35% of the festival participants are between 40 and 59 years old.

Learn more about histograms at https://brainly.com/question/2962546

#SPJ1

The number of points scored by Tyger will be 132 points.

From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.

Therefore, the number of points scored by Tyger will be:

= Points scored by Captain + (Percentage × Captain point)

= 120 + (10% × 120)

= 120 + 12

= 132

Tyger scored 132 points.

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

The number of points scored by Tyger will be 132 points.

From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.

Therefore, the number of points scored by Tyger will be:

= Points scored by Captain + (Percentage × Captain point)

= 120 + (10% × 120)

= 120 + 12

= 132

Tyger scored 132 points.

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

Step-by-step explanation:

r - 535 = 175

r = 175 + 535 = 710

Answer:

take - 535 to the other side (over equal to side)

which makes it +535

r = 175 + 535

r = 710

[tex]log_{4}(2) + log_{4}(3)+ log_{4}(5+2x)[/tex] is the completely expanded logarithmic expression .

Logarithm, an exponent or power that must be raised to obtain a particular number. Mathematically, if bx = n then x = logb n then x is the logarithm of n to  base b. Example: 23 = 8; so 3 is the base 2 logarithm of 8, or 3 = log2 8.

The most common types of logarithms are  the base 10 common logarithm, the base 2 binary logarithm, and  the base  e ≈ 2.71828 natural logarithm.

the product rule for logarithms is

[tex]log_{b}(MN) = log_{b}(M) + log_{b}(N)[/tex]  for b > 0

now ,

[tex]log_{4}(6(5 + 2x)) \\\\log_{4}(6) + log_{4}(5 + 2x)\\ \\ log_{4}(2.3) + log_{4}(5 + 2x) \\\\ log_{4}(2) + log_{4}(3)+ log_{4}(5 +2x)[/tex]

learn more about logarithms here :

brainly.com/question/28346542

#SPJ13

Answer:

5 = 1

or

5 = 25

Step-by-step explanation:

I've seen two answers to this.

1. Since we are told 1 = 5, then 5 = 1.

One answer is 1 = 5

2. Since each number on the right is 5 times the number on the left, then 25 corresponds to 5, and 5 = 25.

Answer: 5=1 (The correct answer) 5=25 (The answer that makes sense but is not correct).

Step-by-step explanation:

Explanation for answer 1: It say's that 1 = 5.

Explanation for answer 2: If we follow the pattern of adding 5 each time we go up a number then 5 would equal 25.

Step-by-step explanation:

the area of a triangle is

base × height / 2

in our case

base × height / 2 = 196 mm²

base × height = 392

base = height / 2

so, using that in our main equation :

(height / 2) × height = 392

height² = 784

height = sqrt(784) = 28 mm

base = height / 2 = 28/2 = 14 mm