5. The graph of a function is a line that
passes through the coordinates (2, 11)
and (8, 14).
Write an equation in the form
y = mx + b for this function.

Answers

Answer 1

Answer:

y = 1/2x + 10

Step-by-step explanation:

(y-11)/(14-11) = (x-2)/(8-2)

(y-11)/3 = (x-2)/6

2y-22 = x-2

2y = x + 20

y = 1/2x + 10

Answer 2

Let m = slope of the line.

m = (14 - 11)/(8 - 2)

m = 3/6

m = 1/2

We now have the slope and the slope is 1/2.

We plug the slope and one of the point into the point-slope formula.

Here is the point-slope formula:

y - y_1 = m(x - x/_1)

I will use the point (2, 11).

y - 11 = (1/2)(x - 2)

y - 11 = (1/2)x - 1

Now we solve for y by adding 11 to both sides of the equation.

y = (1/2)x - 1 + 11

Answer: y = (1/2)x + 10


Related Questions

PLEASE HELP THIS IS DUE SOON <33

Find the least possible measure of the third side of a triangle with the given side lengths if the missing measure is a whole number. The given side lengths are 7 in and 11 in.

Answers

Answer:

5 inches

Step-by-step explanation:

Theorem states that the smaller two sides of a triangle have to be greater than the biggest side.

The least possible answer would be 5 inches.

Help me with this pls

Answers

A and E, they are basically at the same point around

are of circle find. ​

Answers

Answer:

379.94

Step-by-step explanation:

11 squared is 122

Times 3.14 is 379.94

22 The distance around a meteor crater is 9,031 ft. Find the diameter of the crater. Use 22/7

(Type an integer or decimal rounded to the nearest tenth as needed.)​

Answers

Answer:

d = 2873.5 feet

Step-by-step explanation:

Given that,

The distance around a meteor crater is 9,031 ft.

We need to find the diameter of the crater. The circumference of a circle is given by :

[tex]C=2\pi r[/tex]

Where

r is the radius of the circle

So,

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{9031}{2\times \dfrac{22}{7}}\\\\r=1436.75\ ft[/tex]

Since,

Diameter, d = 2r

[tex]d=2\times 1436.75\\\\d=2873.5\ ft[/tex]

So, the diameter of the crater is equal to 2873.5 feet.

Rename 5/6 and 14/15 using the least common denominator.

Answers

Answer:

25/30 and 28/30

Step-by-step explanation:

1. To find the least common denominator, you need to find the least common multiple of the two denominators which are 6 and 15. Prime factorization of these numbers gives:

6 = 2 x 3

15 = 5 x 3

A number that would evenly divide both 6 and 15 must contain 2 x 3 x 5 which is 30.

Thus 30 is the least common denominator.

2. Now we need to somehow change both fractions to make them have a denominator of 30. To do this we can multiply by fractions with same numerator and denominator since that would be like multiplying by 1.

So, 5/6 x 5/5 = 25/30

And 14/15 x 2/2 = 28/30

Answer:

25/30 and 28/30

Step-by-step explanation:

answer for the plato mastery test

ABCD is a kite. Solve for x.

Answers

ANSWER IS X=6.
If you plug in the value of X as option 2. X equals six. Plug in the value of X which is six into the equation and it should give you the answer 15 equals 15. I typed it in using photo math. Hope this help.

The figure below is reflected over y-axis and then rotated 180° counterclockwise.
What are the coordinates of the image of point Y after these transformations?

Answers

Answer:

The coordinates of point y after the transformation is (-6,5)

Step-by-step explanation:

Firstly , we need to get the coordinates of the point y before the transformation

The coordinates are

(-6,-5)

By reflecting over the y-axis, we have the following change;

(x,y) becomes (-x,y)

So we have;

(6,-5)

Then we are to rotate at an angle of 180 degrees counterclockwise

The operation here will be;

(x,y) to (-x,-y)

So we have;

(6,-5) to (-6,5)

Describe in your own words how graphing equations can help find the
solution to a system of equations?

Answers

Answer:

i think that if u can please redo this question it might help

Need help so confusing whats the answer

no spam

Answers

Answer:

Volume of the cone V》1570 cm^3

Volume of the hemisphere V》4186.67cm^3

Volume of the entire figure V》5756.67cm^3

hope it helps...

hope it helps...have a great day !!

Monique wants to bake a cake. She needs 2 1/8 cups of sugar, and 1 5/24 cups of flour. How many cups of ingredients will she use in all? *

Answers

Answer:

3 1/3 cups total

Step-by-step explanation:

Add together 2 1/8 cups and 1 5/24 cups.  The LCD here is 24, and so we rewrite 2 1/8 cups as 2 3/24 cups.

Adding 2 3/24 cups and 1 5/24 cups, we get 3 8/24 cups,

which simplifies to 3 1/3 cups total

simplify (2x)^1/3 times (2x)^4/3

Answers

Answer:

2x^5/3

Step-by-step explanation:

Answer:

32x small 5

9         32x small 5 over 9

Step-by-step explanation:

Given that
[tex]2 {}^{x} = 0.125[/tex]
Find x

Answers

Take the natural log of both sides

ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
X=-3

ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
And 1/2^3 is also equal to 1/8
So since you need the reciprocal to match it the exponent is a negative

Answer:

x = -3.

Step-by-step explanation:

2^x = 0.125

Taking logs:

x ln 2 = ln 0.125

x = ln 0.125 / ln 2

x = -3

The sum of two numbers is 10. The difference between three times the first number and twice the second number is 20. Find the two numbers.
Sample question text with
and

Answers

Answer:

one number x= 16

other number y = 4

Eight times the sum of a number and 9 equals 7.

Answers

Answer:

8(x+9)=7

comment if you need anything else like solving for x

help asap!!!

exponential function matching table..?

Answers

Answer:

Step-by-step explanation:

Exponential equations have the form of a geometric sequence

[tex]y=ar^x\text{ y=final value, a=initial value, r=common ratio, x=term number}\\ \\ \text{The common ratio is found by dividing any term by the previous term, in this case}\\ \\ r=\frac{1}{3},\ a=27\\ \\ f(x)=27\left(\frac{1}{3}\right)^x[/tex]

Engineers are designing a rollercoaster that at one point goes underground. The rollercoaster’s path underground is a large curve. The engineers use the function shown to model the elevation, ܧ ,in feet and ݐ , time, in seconds, of the rollercoaster’s path while it is underground.

Answers

Answer:

One way to solve the quadratic equation x2  = 9 is to subtract 9 from both sides to get one side equal to 0: x2  – 9 = 0. The expression on the left can be factored:

(x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3

Step-by-step explanation:

One way to solve the quadratic equation x2  = 9 is to subtract 9 from both sides to get one side equal to 0: x2  – 9 = 0. The expression on the left can be factored:

(x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3

find x. round your answer to the nearest tenth

Answers

tan:opposite/adjacent

tan(x)=32/21

tan^-1(32/21)=x

x=56.7

PLEASE !!! HELP D: lord pls

Answers

Answer:

the answer is 4 have a nice day

It might be 4 I think

Reduce this algebraic fraction.

27c^4d^5
--------------
9c^7d^4

Answers

Answer:

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{-m}= \frac{1}{a^{m}}[/tex]

[tex]\frac{27c^{4}*d^{5}}{9c^{7}d^{4}}= 3*c^{4-7}*d^{5-4}\\\\ = 3c^{-3}d^{1}\\\\= \frac{3d}{c^{3}}[/tex]

HELP PLS!!

If the sequence 4, 8, 12, 16 continues, what will be the 7th
term?

Answers

Answer:

28

Step-by-step explanation:

In order to find the seventh term in this arithmetic function, you need to find its function; in order to do this, you must first identify the common difference by finding the difference between two consecutive terms:

16 - 12 = 4; the common difference is 4

Now, you need to find the 0th term, which is the 1st term minus the common difference:

4 - 4 = 0

At this point, you can write out the function (where f(n) = [0th term] + [common difference]n:

f(n) = 4n

Finally, you can plug 7 into this function:

f(n) = 4(7)

f(n) = 28, so the 7th term is 28

Paul wants to visit his aunt who lives 300 miles away from his house. He drives his car at about 50 miles an hour. If X represents the time spent driving and why represents the distance from his aunts house which scatterplot could represent the situation

Answers

Answer:

It would take 6 hours.

An equation for that could be: 50x = 300 (X is how long it would take)

So 50 mph• X (time spent) = 300 miles

You didn't give me any scatterplots to look at so I can't help you with that sorry

27.38/9 rounds to the nearest tenth

Answers

Answer:

3

Step-by-step explanation:

:)

A square has an area of 313.29m2.
Work out the perimeter of the square.

Answers

The perimeter of the square is 70.8 meters.

To find the perimeter of a square, we need to know either the length of one side or the area of the square. In this case, we are given the area of the square as 313.29 m².

The formula for the area of a square is:

Area = side length²

We can rearrange this formula to solve for the side length:

Side length = √Area

Substituting the given area into the formula, we have:

Side length = √313.29 m²

Calculating the square root of 313.29, we find that the side length of the square is approximately 17.7 meters (rounded to one decimal place).

Since a square has four equal sides, the perimeter is simply four times the side length:

Perimeter = 4 * 17.7 m = 70.8 meters

As a result, the square's circumference is 70.8 metres.

for such more question on perimeter

https://brainly.com/question/23875717

#SPJ8

Use the figure at the right to name the following.
8. a pair of supplementary angles
9. a pair of complementary angles
10. a pair of vertical angles

Answers

Answer:

Supplementary: AKB and BKG

Complementary: FGE and EGD

Vertical: IJH and KJG

Step-by-step explanation:

The correct options are given below,

Supplementary: AKB and BKG

Complementary: FGE and EGD

Vertical: IJH and KJG

What are lines and angles?

Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines.

A figure called an angle is one in which two rays originate from the same point. In this area, you could also encounter contrasting and related viewpoints.

Given that there are different lines crossing each other at different angles. The value of the different angles can be named as,

A pair of supplementary angles: AKB and BKG

A pair of complementary angles: FGE and EGD

A pair of vertical angles:  IJH and KJG

To know more about lines and angles follow

https://brainly.com/question/25770607

#SPJ2

What decimal is equivalent to 13/20?

Answers

Answer: 0.65

13/20 as a decimal is 0.65.

0.65 is equivalent to 13/20

Which of these statements is true? Sin 18° = cos 72°, sin 55° = cos 55°, sing 72° = cos 18°c both a and c

Answers

Answer:

Sin 18° = cos 72° and sin 72° = cos 18°

Step-by-step explanation:

According to trigonometry identity;

sin Ф = cos(90 - Ф)

for Sin 18° = cos 72

Ф = 18°

Substitute into the expression

sin Ф = cos(90 - Ф)

sin 18 = cos(90 - 18)

Sin 18 = cos 72

Hence the statement id true

For sin 72° = cos 18

Ф = 72°

Substitute into the expression

sin Ф = cos(90 - Ф)

sin 72 = cos(90 - 72)

Sin 72 = cos 18

Hence this statement too is correct

The two correct statements are Sin 18° = cos 72° and sin 72° = cos 18°

PLEASE HELP FAST !!
3/2+19/3

Answers

Answer:

28/6 yeah thats right wasp

Answer:

Step-by-step explanation:

ANSWER ASAP! What is the solution to the system of equations shown

Answers

Answer:   (0,0)  

Step-by-step explanation:

That is where the intercept is.

HELP I WILL MARK YOU GOOD

Answers

Answer:

You have a 2/3 chance

Answer:

2/3

Step-by-step explanation:

when you spin twice you either get a KK, KV, KH, VK, VV, VH, HK, HV, HH.

so the probability of getting a K and a K is 1/3 plus 1/3 to get your answer as 2/3.

PLEASE HELP!

Hello! I'm having a lot of trouble figuring out these problems. I'm not asking for all of the answers but, just a better understanding. Thank you!

Answers

Answer:

1) 4

2)I think 2

3)4

4)3

5)2

6)1

7)3

Step-by-step explanation:

1) since the x is to squared it is a quadratic equation

3) A and D have same slope=0.5

others were solved using Excel

Other Questions
Suppose your friend says he can solve 3x = 15by using the Multiplication Property of Equality. Is he correct? Roy made 7 identical sundaes using 5 pints of ice cream. How much ice cream did Roy use for each sundae? Qu quiso decir Jess con la siguiente expresin,Ustedes han hecho de ella una cueva de ladrones? An object is lifted against gravity from the floor to a tabletop. This is an example of Help please will mark brainliest..... Which exponential equation is equivalent to this logarithmic equation?log_(x)5+log_(x)12=7A. 7^x=17B. 7^x=60C. x^7=60D. x^7=17 PLEASE HELP ASAP PLEASE!! WILL GIVE BRAINLEST PLEASE * This is the correct answer, I have taken the test and am posting the answers in hopes of helping other people :] *Based on the diagram, what is tanA?Enter your answer in the boxes.tanA= A Chevy Volt costs $29,600 in the United States. What would it cost in Canada? A puppy weighs 4 pounds. Six months later, the puppy weighs 22 pounds. What is the average weight per month? A bag contains 3 red marbles, 3 blue marbles and 1 green if a marble is drawing from the bag at random what is the chance of the marble being blue Find the area of the parallelogram.3 cm3.2 cm10 cm 30 points. ill give brainliest. music question. What is the lateral surface area of the square pyramid represented by this net?Enter your answer in the box__ft Please help ASAP! Will mark brainliest if correct :) Choose the imperfect verb that matches the given pronoun.t just help frllllllllllllllllllllllllllllllllllll According to the video, what tasks do Helpers-Production Workers commonly perform? Check all that apply. fetching and holding materials o supervising other workers o moving materials between work areas o managing budgets training assembly workers keeping records o cleaning machinery PLZ HELP I WILL GIVE BRAINLIEST Please answer it would mean alot because i really hate history and completely suck at it