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belka [17]
3 years ago
13

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

Mathematics
1 answer:
ZanzabumX [31]3 years ago
3 0

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

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Step-by-step explanation:

Given logarithm expression

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First we need to apply exponent rule of logs to remove 7 and 6 in front of logs.

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