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lesya [120]
2 years ago
13

(-2,4) (8,10) slope intercept form

Mathematics
1 answer:
kherson [118]2 years ago
3 0

Answer:

Step-by-step explanation:

1) Use the given coordinate points to find the slope

m=\frac{10-4}{8-(-2)}  m=\frac{3}{5}

2) plug the slope into slope-intercept form

y=\frac{3}{5}x+b

3) choose one point to use to plug into the equation to solve for b

4=\frac{3}{5}(-2)+b

4) solve for b.

b=\frac{26}{3}

5) substitute the value for b into equation from step 2

y=\frac{3}{5}x+\frac{26}{3}

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Find the common factor of all the terms of the polynomial 10x - 30.
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You and Mr. Fowles have decided to race each other at the Boston Marathon (26 miles long). Mr. Fowles runs at a steady 4.2 miles
Maslowich

Answer:

The answer is below

Step-by-step explanation:

Speed is the time rate of change of velocity, it is the ratio of distance to time.

Mr. Fowles runs at a steady 4.2 miles per hour. The time taken to cover 26 miles is:

speed = distance / time

time = distance / speed = 26 / 4.2 = 6.19 hour

I run at 3 miles per hour. I was given 3 mile lead, so the remaining distance is 23 miles (26 - 3). The time needed to complete the 23 miles is:

time = distance / speed = 23 / 3 = 7.67 hour

a) Let d be the distance Mr Fowles catches me. Hence:

time = (d + 3)/4.2; also time = d/3

(d + 3)/4.2 = d/3

3d + 9 = 4.2d

1.2d = 9

d = 7.5 miles

He would catch me at 10.5 (7.5 + 3) miles from the starting point.

b) Mr. fowles finishes after 6.19 hour. At that time, the distance is have covered is:

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4 0
2 years ago
5. What is the solution to the equation -2.5(x-4)=-3x+4?​
lana66690 [7]

Answer:

x = -12

Step-by-step explanation:

-2.5(x-4)=-3x+4

Distribute

-2.5x +10 = -3x +4

Add 3x to each side

-2.5x+10 +3x = -3x+4+3x

.5x +10 = 4

Subtract 10 from each side

.5x+10-10=4-10

.5x = -6

Divide by .5

.5x/.5 = -6/.5

x = -12

6 0
3 years ago
Read 2 more answers
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