The library is 10 kilometers south of Aaron’s home. The school is 10 kilometers east of Aaron’s home. How many kilometers, to the nearest tenth of a kilometer, is the library from the school?

14.1 km

Step-by-step explanation:

Sqrt(10² + 10²)

Sqrt(200) = 14.14213562

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).