The path of a soccer ball can be modeled by the equation h(x)=−1/2x(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=−1/2x(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)

Responses

He cannot use the Zero Product Property because the height will never be 0.
He cannot use the Zero Product Property because the height will never be 0.

Plug in 0 for all the x terms in the function.
Plug in 0 for all the x terms in the function.

Solve the two equations: −1/2x=0 and x−20=0.
Solve the two equations: negative Start Fraction 1 over 2 End Fraction x equals 0 and x minus 20 equals 0 .

Cancel out the x and then multiply −1/2 and −20.

He can use the Zero Product Property to solve the equation −1/2x(x−20) = 0. This is because the Zero Product Property states that if a product of two factors is equal to zero, then at least one of the factors must be equal to zero. Therefore, by setting the equation equal to zero, he can solve for the values of x that make the equation true. In this case, he would solve the two equations: −1/2x = 0 and x−20 = 0 to find the horizontal distance the ball has traveled when the height equals 0.