Write the statement equation for the circle. center (10, -6), r = 6

(x-10)^2 + (y+6)^2 = 36

Step-by-step explanation:

The equation for a circle in standard form is

(x-h)^2 +(y-k)^2 = r^2

where (h,k) is the center and r is the radius

Given center (10, -6), r = 6  we can substitute in

(x-10)^2 + (y--6)^2 = r^2

(x-10)^2 + (y+6)^2 = 6^2

(x-10)^2 + (y+6)^2 = 36

  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).