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McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
5. Using the Distributive Property
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Exercise 49 Page 41

To solve the equation, apply the Zero Product Property.

After 4 seconds

Practice makes perfect

We are given an equation that represents the height h, in feet, of an arrow. h=64t-16t^2To find how long it takes for the arrow to hit the ground, we need to substitute 0 for h, since at the ground level, the height is zero.

h=64t-16t^2
Substitute

h= 0

0=64t-16t^2
FactorOut

Factor out 16t

0=16t(4-t)

To solve this equation, we will apply the Zero Product Property.

0=16t(4-t)
ZeroProdProp

Use the Zero Product Property

lc16t=0 & (I) 4-t=0 & (II)
â–¼
(I), (II): Solve for t
DivEqn

(I): .LHS /16.=.RHS /16.

lct=0 & (I) 4-t=0 & (II)
SubEqn

(II): LHS-4=RHS-4

lct=0 & (I) - t=- 4 & (II)
DivEqn

(II): .LHS /(- 1).=.RHS /(- 1).

lct=0 & (I) t=4 & (II)

The solutions to the equation are 0 and 4. Since the height of the arrow is initially zero, the arrow hits the ground after 4 seconds.

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