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const2013 [10]
3 years ago
14

Jamie kicked a soccer ball that traveled along a path described by the parabola y = -x^2 +8x, where y equals the height of the s

occer ball in feet, and x = the horizontal distance in feet that the ball has traveled from Jamie. How many feet from Jamie does the soccer ball hit the ground?

Mathematics
2 answers:
tankabanditka [31]3 years ago
7 0

The answer is 8 feet.

andrey2020 [161]3 years ago
6 0
We have that
<span>y = -x</span>²<span>+8x

we know that
when the ball hint the ground is the x-intercepts of the graph
the x-intercepts is for y=0
so
0=-x</span>²+8x--------> x²-8x=0----> x*(x-8)=0

the solution is
x=0
x=8

the x intercepts are the points (0,0) and (8,0)
the distance between the x intercepts points =[8-0]-----> 8 ft

the answer is
8 ft

see the attached figure

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