Solve the equation by completing the square. round to the nearest hundredth if necessary 4x^2+8x-32=0

Abouncy ball is dropped such that the height of its first bounce is 5.5 feet and each successive bounce is 64% of the previous bounce's height. what would be the height of the 7th bounce of the ball? round to the nearest tenth (if necessary).

Given the function f(x) = log base 4(x+8) , find the value of f^-1(2)

In trapezoid abcd, ac is a diagonal and ∠abc≅∠acd. find ac if the lengths of the bases bc and ad are 12m and 27m respectively.