Car A and Car B both start from the same position. Car A travels north at 30mph and Car B travels west at 20mph. Find the rate at which the distance between the two cars is changing at time t = 2 hours.

  about 36.1 miles per hour

Step-by-step explanation:

The cars' distance from the starting point is proportional to time, since both started at the same time. 1 hour after they started, Car A is 30 miles north of the origin, and Car B is 20 miles west of the origin. The distance between them can be found using the Pythagorean theorem:

  d = √(30² +20²) = √(900 +400) = 10√13 ≈ 36.056

The distance between the cars is increasing at the constant rate of about 36.1 miles per hour.

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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