what's the trouble? You have two functions and want to know where they are equal.
-x^2+15x = 4x-12
x^2-11x-12 = 0
(x-12)(x+1) = 0
I think you can take it from there, right?
Fireworks are to be launched from a platform at the base of a hill. Using the top of the platform as the origin and taking some measurements, it was determined that the cross-section of the slope of one side of the hill is y=4x-12 If the path of the fireworks is y=-x^2+15x, calculate the point where the fireworks will land on the hill. (Show your work - 3 marks)
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