Alocal park is adding a new 14 ft long slide to the playground. the vertical height of the slide is h. the
distance from the bottom of the stairs to the bottom of the slide needs to be 15 ft. also, due to safety reasons,
the slide must form a 30° angle with the ground, as shown below.
a. what is the height h of the slide? round your answer to the nearest tenth.
b. to the nearest degree, what angle x will the stairs form with the ground?

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.

The point a is at –2 and the point b is at 7. marissa would like to divide this line segment in a 4: 3 ratio, and she would like to use the formula x = (x2 – x1) + x1. what values should she substitute into the formula? a = a + b = x1 = x2 =

Ithink i know it but i want to be sure so can you me out ?