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Dafna11 [192]
3 years ago
8

Slope 1/3 passing through the points (-3,-4)

Mathematics
1 answer:
saw5 [17]3 years ago
6 0

Answer:

y=1/3x-3

Step-by-step explanation:

use the eqation y-y1 = m(x-x1)

plug in slop as m and points as x and y

so now you have --> y-(-4)=1/3(x-(-3))

two negatives = a positive --> y+4=1/3(x+3)

distribute the 1/3 --> y+4= 1/3x + 1

subtract 4 from both sides --> y= 1/3x - 3

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Answer:

V_{E} = -22.5 / 15 = 1.5 miles/minute\\V_{F} = 7.5 / 15 = 0.5 miles/minute

Step-by-step explanation:

To answer this problem, we must bear in mind that the express train travels 3 times faster than the freight train.

If we call F the distance that the freight train travels and we call E at the distance that the express train travels, we must have the distance between them after 15 minutes it must be 30 miles.

So

F + E = 30\\

We also know that:

E = 3F

Since the express train travels 3 times faster than the freight train.

So, like both equations, we have to:

F + 3F = 30\\F = 30/4\\F = 7.5 miles\\

Then E = 7.5*3 = 22.5 miles in the opposite direction.

This is the distance you traveled in 15 minutes.

Therefore, the speed of the express train (V_{E}) is the distance traveled between the time it did

V_{E} = -22.5 / 15 = 1.5 miles/minute\\V_{F} = 7.5 / 15 = 0.5 miles/minute

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Step-by-step explanation:

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