9514 1404 393
Answer:
85.7 meters
Step-by-step explanation:
A graphing calculator finds the result easily. The ball moved 85.7 meters horizontally before it hit the hill.
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Equating y expressions gives ...
0.725x = -0.05x^2 +5x +1
In standard form, this is ...
0.05x^2 -4.275x -1 = 0
The quadratic formula tells us the positive solution is ...
x = (4.275 +√(4.275^2 -4(0.05)(-1)))/(2(0.05)) = (4.275 +√18.475625)/.1
x ≈ 85.733
The cannon ball hits the hill at a horizontal distance of 85.7 meters from the cannon.
