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Ghella [55]
3 years ago
15

Find the equation of a line that contains the points (−2,3) and (0,8). Write the equation in slope-intercept form, using fractio

ns when required.
Mathematics
2 answers:
Gemiola [76]3 years ago
5 0

Hey there! I'm happy to help!

First we need to find the slope, which is the incline of the line. To do this, you divide the difference of the y values by the difference of the the x values.

3-8=-5

-2-0=-2

-5/-2=5/2

To find the y-intercept, you want to find where the line hits the y-axis. Well, the point (0,8) tells us that the y-intercept is 8. The y-axis is where x=0, so our y-intercept is 8.

Slope intercept form is y=mx+b, where m is the slope and b is the y-intercept.

So....

y=5/2x+8.

Have a wonderful day! :D

Contact [7]3 years ago
3 0

Answer:

y = 5/2 x + 8

Step-by-step explanation:  Find the slope of the line

<u>y - y</u>  so <u>8 - 3</u> =  <u> 5   </u>  = 5/2 is the slope

x- x        0 - -2   0 + 2

The y-intercept is where the line crosses the y axis or (0, 8) where x is 0 and y is b

y = mx + b  

m = slope

b = y-intercept (where x = 0)

(x, y) are coordinate points on the line

So, y = 5/2x + 8

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The rectangular prism shown has a surface area of 488 square inches. What is the length of the prism?
BigorU [14]

Answer:

length of the prism = 244 - (width x height) / width + height)

Step-by-step explanation:

Let length be a and width be b and height be c

2 (a * b) + 2 (b* c) + 2 (a * c) = 488

2ab+ 2bc + 2ac = 488

ab + bc + ac = 244

ab + ac = 244 - ac

a (b + c) = 244-ac

a = 244-bc / b + c

Therefore the length of the prism = 244 - (width x height) / width + height)

8 0
3 years ago
∠A=5x−18. ∠B=3x+42∘ solve for x and then find the measure of ∠A
KatRina [158]

Answer:

x = 30 ∠A = 132 degrees

Step-by-step explanation:

Set the equations equal to each other to solve for x

5x - 18 = 3x + 42

-3x        - 3x               Subtract 3x from both sides

2x - 18 = 42

    + 18  + 18              Add 18 to both sides

2x = 60                     Divide both sides by 2

x = 30

Now plug this into the equation for angle A

∠A = 5(30) − 18        Multiply

∠A = 150 - 18           Subtract

∠A = 132 degrees

If this answer is correct, please make me Brainliest!

6 0
3 years ago
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Which of the following is a solution to the equation −25x = 10?
blagie [28]

Answer: x=-0.4

Step-by-step explanation:

6 0
3 years ago
What is the diameter of a circle that has a radius of 5.2 yards?<br><br><br><br> ** Do not put yards
Xelga [282]

Answer:

6.4

Step-by-step explanation:

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2 years ago
Tom has a recipe for punch that calls for 1/2 gallon of fruit drink, how much fruit drink will tom need to make 5/2 batches of t
Hunter-Best [27]

Answer:

Tom will need \dfrac{5}{4} gallons of fruit drink.

Step-by-step explanation:

Hint- This question can be solved by unitary method.

Tom has a recipe for punch that calls for \dfrac{1}{2} gallon of fruit drink.

i.e for 1 batch of the punch Tom needs \dfrac{1}{2} gallon of fruit drink.

For \dfrac{5}{2} batch of the punch Tom needs \dfrac{1}{2}\times \dfrac{5}{2}=\dfrac{5}{4} gallons of fruit drink.

Therefore, Tom will need \dfrac{5}{4} gallons of fruit drink.

4 0
3 years ago
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