A 26 ft ladder leans against a wall. The bottom of the ladder is 10 ft from the wall. How tall is the top of the ladder on the wall?

the top of the ladder is at 24 feet from the ground

Step-by-step explanation:

Use the Pythagorean theorem to solve for the unknown, since we notice that the ladder is the hypotenuse of a right angle triangle formed by the horizontal distance from the wall to the base of the ladder, and the height of the top of the ladder against the wall. We need to find one of the triangle's sides given its hypotenuse and the other side, so we use the formula:

  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).