Question

(08.06 MC)The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below: Car A y = 55x + 32 Car B y = 42x + 58 After how many hours will the two cars be at the same distance from their starting point and what will that distance be?

Answer 1

Answer:

The answer is D, 3 hours, 190 miles

Step-by-step explanation:

Answer 2

The answer is 2 hours, 142 miles.

What is the distance formula?

The distance formula in coordinate geometry is used to calculate the distance between two given points.

The distance formula for both cars and then equate these formulas:

Car A:  y = 55x + 32  =  y = 42x + 58:  Car B

Then 55x + 32  =  y = 42x + 58  →  13x = 26, and so x = 2

That distance will be 55(2) + 32, or 142 miles.

The cars will reach the same point after 2 hours and the distance will be 142 miles.

Learn more about the distance formula here: brainly.com/question/7243416

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