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3 years ago

5

From a point on a river, two boats are driven in opposite directions, one at 6 miles per hour and the other at 10 miles per hour

. in how many hours will they be 48 miles apart?

1 answer:

kumpel [21]3 years ago

8 0

(6 mph)x + (10 mph)x = 48 mi. Then (16 mph)x = 48 mi, and x = 3 hrs (answer)

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barxatty [35]

Answer:

$y=-\frac{1}{3}x-5$

Step-by-step explanation:

Given:

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Now, for a line with two points on it, the slope of the line is given as:

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For the points $(x_1,y_1)=(-6,-3)\ and\ (x_2,y_2)=(6,-7)$ , slope is:

$m=\frac{-7-(-3)}{6-(-6)}\\m=\frac{-7+3}{6+6}\\m=\frac{-4}{12}=-\frac{1}{3}$

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Plug in all the values and determine the equation of the line. This gives,

$y-(-3)=-\frac{1}{3}(x-(-6))\\\\y+3=-\frac{1}{3}(x+6)\\\\y+3=-\frac{1}{3}x-\frac{1}{3}\times 6\\\\y+3=-\frac{1}{3}x-2\\\\y=-\frac{1}{3}x-2-3\\\\y=-\frac{1}{3}x-5$

Therefore, the equation of the line is:

$y=-\frac{1}{3}x-5$

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3 years ago

Arlene is comparing the prices of two truck rental companies. Company A charges $7 per hour and an additional $30 as service cha

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Answer:

Part A: 7n + 30= -5 and 8n + 40= 16

Part B: 7(8) + 30= 86 and 8(8) + 40= 104

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Step-by-step explanation:

Company A: 7n + 30

Company B: 8n + 40

7n + 30= -5 8n + 40= 16

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Step-by-step explanation:

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Answer:

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