Question

The path of a soccer ball can be modeled by the equation h (x) = -0.5х(x - 20), where h(x) is the height of the ball, and x is the horizontal distance the ball has traveled. To determine how far the ball has traveled when it hits the ground, Leon set the height equal to 0 and obtained the equation:
0 = -0.5x(x - 20). How can he use the Zero Product Property to find the horizontal distance the
ball has traveled when the height of the soccer ball equals 0? (1 point)
• Plug in O for all the x terms in the function.
• Solve the two equations: -0.5x = 0 and x - 20 = 0.
• He cannot use the Zero Product Property because the height will never be 0.
• Cancel out the x and then multiply -0.5 and -20.

Answer 1

Choose: "Solve the two equations: -0.5x = 0 and x - 20 = 0."

By the Zero Product Property, -0.5x(x−20)=0 implies -0.5x=0 or x−20=0. So x=0 or x=20. The ball is on the ground at x=0 (kick point) and x=20 (where it lands), so it traveled 20 units.