Find the equation that represents the relationship between the variables.

Find The Equation That Represents The Relationship Between The Variables.

Answers

Answer 1

to get the equation of any straight line, we simply need two points off of it, hmmm let's use (0 , 10) and (8 , 30) from the table

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{30}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{30}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{0}}}\implies \cfrac{20}{8}\implies \cfrac{5}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{\cfrac{5}{2}}(x-\stackrel{x_1}{0}) \\\\\\ y-10=\cfrac{5}{2}x\implies y=\cfrac{5}{2}x+10[/tex]


Related Questions

Solve for x.

Please help.

Answers

Answer: 4?

Step-by-step explanation: im prob wrong

Answer:

3.5

Step-by-step explanation:

if 10% of my number is 60 what is 100%

Answers

Answer:

600

Step-by-step explanation:

10x60=600

since its 10% you multiply by 10 to get 100%

please help this is very important

Answers

4. sector angle = 120°

area of sector = 120/360* π*r^2

= 1/3 π *36 = 12π = 37.69 cm^2

area of isosceles ∆ = .5*36*sin 120 = 15.58cm^2

area of shaded portion = 37.69 - 15.58= 22.11 cm^2

5. sector area = 90/360 * π * 64 = 16π ft^2

area of right ∆ = 1/2*64= 32ft^2

shaded portion area = 16π-32 = 18.26ft^2

6. sector area = 60/360 π 36 = 6π m^2

triangle area = √3/4 * 36 = 9√3 m^2

shaded area = 18.84 - 9√3 = 3.26 m^2

7. sector area = 45/360*π*18^2 = 40.5 π yd^2

8. sector area = 90/360*π*16 = 64π cm^2

9. sector area = 60/360 * π * 169 = 28.16π m^2

10. sector area = 135/360*π*64 = 24π cm^2

1. circle area = π*5.5^2 = 30.25π cm^2

2. circle area = π*0.85*.85 = .7225π ft^2

3. circle area = π * 1/9 in^2

PLEASE PLS HELP!!!! Find the height of the prism.

Answers

Answer:

[tex] \cos( \alpha ) = \frac{7}{25} \\ \alpha = (73.73979529169) \\ \ \sin(73.73979529169) = \frac{h}{25} \\ h = \sin(73.73979529169) \times 25 \\ h = 24[/tex]

Angles and Parallel Lines

Answers

Answer:

a = 6

b = 25

Step-by-step explanation:

As alternative angles in a parallel line are equal to each other,

5a = 3a + 12

So, now we can find the value of a by making "a" the subject.

5a - 3a = 12

2a = 12

Divide both sides by 2.

a = 6°

                                                                                                     

And now let us find the value of b.

We know that interior angles in a triangle are added up to 180°.

So,

2b + 4b + 3a + 12 = 180

We can replace a with 6 and then we can make "b" the subject to find the value of b.

Let us solve it now.

2b + 4b + 3 × 6 + 12 = 180

6b + 18 + 12 = 180

6b + 30 = 180

6b = 180 - 30

6b = 150

Divide both sides by 6.

b = 25°

help this is a test grade and review but we never learned this

Answers

The answer is H: (-5,-4)

48
The two equations shown below represent different functions.
3
Function P: y = = +2
Function Q: y = x+2
1
: y
Identify each function as linear or nonlinear. State a reason why each function is
linear or nonlinear.
Function P

Answers

The function Q is a linear function  because the function Q has a constant rate

How to identify the function types?

The functions are given as:

Function P: y = 3/x + 2Function Q: y = 1/3x + 2

A linear function is represented as:

y = mx + b

Where m represents the slope, and b represents the y-intercept

By comparing y = mx + b to the functions, we can see that the function Q is a linear function.

This is so because the function Q has a constant rate, while the function P does not have a constant rate

Read more about linear functions at:

https://brainly.com/question/4025726

simplify the expression.

3/[tex]\sqrt{7}-\sqrt{2}[/tex]

Answers

[tex]\dfrac{3}{\sqrt 7- \sqrt 2}\\\\\\=\dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}{\left(\sqrt 7- \sqrt 2 \right)\left( \sqrt 7+\sqrt 2\right)}\\\\\\=\dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}{\left(\sqrt 7 \right)^2 - \left(\sqrt 2 \right)^2 }\\\\\\= \dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}{7-2}\\\\\\=\dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}5[/tex]

The mean of the following data is 20.7. Find the value of p 15 25 25 D 3 10 25 7​

Answers

Answer:

the answer to that question is 5.314

what is located at ( -1.5 , -2 )

Answers

Answer:

in third quadrant... i thinkso

When paying down your student loan, a good strategy to pay down the principal is:

A. making payments in monthly installments.

B. paying more than the minimum payment each month.

c. beginning payments less than six months after leaving college.

D. paying less now and more later.​

Answers

Answer:

It's A!

Step-by-step explanation:

A good strategy to pay down the principal of the student loan is making payments in monthly instalments, the correct option is A.

What is a Student Loan?

A student loan is the amount borrowed by a student from a bank or any other financial institution for studies.

The borrowed amount is large and it becomes a burden if decided to pay all at once after studies on getting a job, a monthly payment of instalments is the right strategy.

To know more about Student Loan

https://brainly.com/question/3267326

#SPJ2

Year
1990
1995
2000
2005
2010
Cell Phone
Subscribers (millions)
4.9
38.3
118.1
229.8
360.4
Use the exponential regression to find an
equation that fits the data, where x is the years
since 1990.

Answers

The exponential regression that shows the relationship between the number of subcribers in millions (y) since 1990 is y = 4.9(1.37)ˣ

How to solve an exponential function?

Let y represent the amount of subscribers in millions, x years since 1990.

From the table; at point (0, 4.9):

y= abˣ

4.9 = ab⁰

a = 4.9

At point (10, 118.1)

118.1 = 4.9(b)¹⁰

b = 1.37

The exponential regression that shows the relationship between the number of subcribers in millions (y) since 1990 is y = 4.9(1.37)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

Help
Brainleist
15 points

Answers

Answer

[tex] m \angle B = 22 \degree[/tex]

Explanation:

Given:

[tex]\sf m \angle A = 120 \\ \sf m\angle B =x \\\sf m \angle C = x+16[/tex]

To find:

[tex]\sf m\angle B \: = ?[/tex]

Solution:

We know that,

sum of all the interior angle of triangle equals 180 degrees.

[tex]\sf m \angle A + m\angle B + m \angle C = 180 \degree \\ \sf 120 + x + x + 16 = 180 \degree \\ \: \sf 2x+136= 180\degree \\ \: \sf 2x=180-136 \\ \:\sf 2x=44 \degree \\ \sf \: x= \frac{44}{2} \\ \:\sf x= 22 \degree[/tex]

Measure of angle B is equal to x hence,

[tex] m \angle B = 22 \degree[/tex]

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Doctor orders 100mg of amiordarone the bottle concentration is 5 mg/ml how many ml do you give?

Answers

Answer:

20 ml

Step-by-step explanation:

100 mg / ( 5mg /ml)  = 20 ml

Please help. ily:) Its rlly hard and i need bothe answers to do this.

Answers

Your answer is (3,6)

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(3,6)

Your Answer:

Your answer is (3,6)

I Need some serious help

Answers

Answer:

3

Step-by-step explanation:

What is the value of X

Answers

Answer:

X = 10.4

Step-by-step explanation:

Since the angle is a 90 degress angle we can assume that

39 + (5x-1) = 90 degrees.

Therefore we can subtract 39 from both sides which will give us

5x-1=51

Add 1 to both sides

5x = 52

Divide both sides by 5

x=52/5

The answer is

X = 10.4

Hope this helps! :)

The diameters of two circles are 12 and 9 what the difference in square centimeters between the areas of the two circles

Answers

Step-by-step explanation:

Area of circle= π(d/2)²

For 1st Circle, A1= 36π

For 2nd Circle, A2= 81π/4

A1-A2 = 63π/4

π = 22/7

=49.5unit²

The differences in the areas of circles in square centimeters is 49.455

Formula for area of circle

[tex]A = \pi r^{2}[/tex]

Where,

A is the area of circle

r is the radius of circle

and π = 3.14

What is radius of a circle ?

Radius of circle is the distance from the center of the circle to any point on it's circumference. It is calculated as :

[tex]Radius = \frac{diameter}{2}[/tex]

According to the given question

Diameter of one circle is 12cm and diameter of another circle 9cm.

Area of circle with diameter 12 cm = [tex]\pi (\frac{12}{2} )^{2}[/tex] = [tex](3.14)(6)^{2}[/tex] = 113.04 square cm

Area of circle with diameter 9 cm = [tex]\pi( \frac{9}{2} )^{2} =(3.14)(4.5)^{2} = 63.585[/tex] square cm

Therefore,

The difference between the areas of two circles = (113.04 -63.585) square centimeter = 49.455 square centimeter.

Learn more about the area of circle here:

#SPJ2

What is the value of the expression 22 + 42 ÷ 22?

Answers

Answer:

8

Step-by-step explanation:

costheta =12/13, 3pi/2

Answers

QUESTION 1

[tex]cos\ \theta = \frac{12}{13}\\\theta = cos^{-1}\frac{12}{13} = 22.62\textdegree = 0.3948\ (\text{radians})[/tex]

QUESTION 2

[tex]\frac{3\pi}{2} < \theta < 2\pi\ \text{then find}\ sin(2\theta)[/tex]

First, the fact that we have [tex]sin(2\theta)[/tex] means we have to adjust our range

[tex]\frac{3\pi}{2} < \theta < 2\pi\ \ \text{becomes}\ \ 3\pi < 2\theta < 4\pi\[/tex]

[tex]sin\ 2\theta = \frac{3\pi}{2}\\2\theta = sin^{-1} \frac{3\pi}{2}\\2\theta = \text{error}[/tex]

There are no solutions to inverse sin of  [tex]\frac{3\pi}{2}\\[/tex]

find the inverse of y=ln2x

Answers

Answer:

The exponential function, exp : R → (0,∞), is the inverse of the natural logarithm, that is, exp(x) = y ⇔ x = ln(y). Remark: Since ln(1) = 0, then exp(0) = 1. Since ln(e) = 1, then exp(1) = e.

Step-by-step explanation:The exponential function, exp : R → (0,∞), is the inverse of the natural logarithm, that is, exp(x) = y ⇔ x = ln(y). Remark: Since ln(1) = 0, then exp(0) = 1. Since ln(e) = 1, then exp(1) = e.

Enter the correct answer in the box.
Write the expression 12-2 in simplest form.

Answers

Answer:

12-2 is 10

Step-by-step explanation:

If I have read a book at a rate of 20 chapters per hour. How many chapters does she read in 4 hours

Answers

20 × 4 = 80chapters

hope it helps...!!!

You could use the ratio ‘20:1’ and use box method.

find the mean of data set between 1-26?

Answers

Answer:

13

Step-by-step explanation:

13 is the number in the very middle of the set.

Another way to find this is to add up all numbers and divide by the total in the data set which in this case would be 26

Which of the following statements is/are true regarding the figure above? Check all that apply. O A. It is a plane. O B. It is a point. C. It is a zero-dimensional object. D. It is a one-dimensional object. SUB​

Answers

Answer:

b and d i think hope this helps

Step-by-step explanation:

the car is traveling at 80 kilometers per hour. what is the slope of the line?

Answers

Answer: y=80x

Step-by-step explanation:

It should be 80x ....try that

Here is a balanced hangar. A circle has a mass of 3 grams and a square has a mass of 2 grams. Which is the mass of a triangle? 3 grams. 7/5grams 9/6 11 grams​

Answers

Answer:

Step-by-step explanation:

Givens

Circle:      3 grams       Number:  1  right hand side Number LHS: 2

Square:   2 grams        Number:  2 Number LHS: 5

Triangle: x                    Number:  5  Number LHS: 2

Formula

Mass RHS   = Mass LHS

Solution

3*1 + 2*2 + 5x = 3*2 + 5*2 + 2*x        Combine

3 + 2 + 5x = 6 + 10 + 2x

5 + 5x = 16 + 2x                                 Subtract 5 from both sides

5-5+5x = 16-5 + 2x                            Combine

5x = 11 + 2x                                       Subtract 2x from both sides

3x = 11                                               Divide by 3

x = 11/3

As you can see, I'm not getting any of the answers that you have provided. Ask your teacher how it was done. (The method used is correct).

Judy earns $11.80 per hour working part time at a restuarant. How much money will she earn for 5 hours? NO DOLLAR SIGN IN YOUR ANSWER!The area of a rectangular city park is 15/56 square miles the width of the park is 3/7 miles what is length in miles of the park.

Answers

Answer:

Question 1: 59

Step-by-step explanation:

Question 1: 11.80*5=59

Solve for X: Enter your answer in the box.

Answers

Answer: 6

Step-by-step explanation:

If you divide 42 oranges evenly among 6 people how many oranges will each person have

Answers

Answer:

7

Step-by-step explanation:

We have 42 oranges. we want to split the oranges evenly to 6 people. 42 divided by 6 people equals 7 oranges a person.

42÷6

=7

so each person will have 7 oranges.

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