During a water balloon fight, Louisa uses a slingshot to fire a water balloon over the fortified wall of the opponent. When
fired from the slingshot, the balloon will follow the path h(x) = -² + 12r, whereh(r) is the height of the balloon in
feet, and x is the horizontal distance it will travel. To determine how far the balloon will travel before it reaches the
ground, Louisa sets the height equal to zero and solves the quadratic equation 0 = -x² + 12r. How far will the
balloon travel before it reaches the ground? (1 point)
The balloon will travel feet before it reaches the ground.
To find how far the balloon will travel before it reaches the ground, we need to solve the equation 0 = -x² + 12r for x.
Rearranging the equation, we have:
x² = 12r
Taking the square root of both sides, we get:
x = √(12r)
Therefore, the balloon will travel √(12r) feet before it reaches the ground.