To determine how far the firework will travel before it reaches the ground, we need to solve the quadratic equation -x^2 + 15x = 0.
We can solve this equation by factoring:
-x(x - 15) = 0
Setting each factor equal to zero:
x = 0
or
x - 15 = 0
Solving for x in the second equation:
x = 15
Therefore, the firework will travel 15 feet before it reaches the ground.
As Isla prepares to set off fireworks, when she wants to ensure the spectators are a safe distance away. When shot in the air, one firework will follow the pathh (x) = -x^2 + 15x, where h(x) is the height of the firework, and x is the horizontal distance it travels in feet. To determine how far the firework will travel before it reaches the ground, Isla sets the height equal to zero, and solves the following quadratic equation: 0 = -x^2 + 15x. How far will the firework travel before it reaches the ground
1 answer
1 answer