Allie is playing basketball. She takes a shot 25 ft away from the basket. When the ball is 4 ft away from her, it is at a height of 10 ft above the floor. The ball reaches its highest height of 18 ft above the floor when it is 12 feet away from her.
a. Find the value of a
b. If the hoop is 10 ft high, how close would Allie have to be in order to make the basket?
a. The value of a is

1.   an exact solution requires a radical solution - no decimal approximation.2. (a)4x^3 = 756x^3 = 756/4 = 189x =   cube root of 189 =   5.74   to nearest hundredth answer(b)   189 = 3*3*3*7   so we can write the cube root of 189 as 3∛7 answerchecking (a) 4*(5.74^3 =   756.48   which is very close(b)   4* ((3∛3)^3   = 4*189   = 756   - spot on! 3. i would use solution b because the original question asked for an exact solution.