To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which is found to be 60°, and then walks off the distance to each house, 20 feet and 90 feet, respectively. How far apart are the houses?

Two angles are complementary. the large angle is 36 more than the smaller angle. what is the measure of the large angle?

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.

Solve each quadratic equation by factoring and using the zero product property. x^2 - 8x + 30 = 3x