**please give me the steps to solve this, will mark brainlyest if leads to correct answer**

The formula S= 7/2√2D can be used to approximate the speed S, in miles per hour, of a car that has left skid marks of length D, in feet. How far will a car skid at 70 mph? Round to one decimal.

Respuesta :

Answer: The car will skid 200 miles

Step-by-step explanation:

The formula S= 7/2√2D

can be used to approximate the speed S, in miles per hour, of a car that has left skid marks of length D, in feet. To determine how far a car will skid at 70 mph, we will substitute 70 mph for S in the formula. It becomes

70 = 7/2√2D

We will take squares of both sides. This is to simplify the square root on the right had side of the equation. It becomes

70^2 = 7^2/2^2(√2D)^2

4900 = 49/4 × 2D

4900 = 49D/2

Cross multiplying,

49D = 2 × 4900 = 9800

D = 9800/49 = 200