The ball lands 8 meters away from the building.
This question is a rather easy one which can be answered by simply solving the embedded quadratic equation.
f(x) = -[tex]x^{2}[/tex] + 6x + 16
To make our solving easier, what we do is multiply the whole equation by -1. By so doing, we make "x" positive. Then, we have
f(x) = [tex]x^{2}[/tex] - 6x - 16
Solving this equation quadratically, we have
[tex]x^{2}[/tex] + 2x - 8x - 16 = and when we factorize this expression, we have
x(x + 2) -8(x + 2) =
(x - 8) (x + 2) = 0
x - 8 = 0, x + 2 = 0
x = 8, or x = -2
Since distance can not be in negative(minus), we then have our x to be 8 meters.
Another example on factorization can be seen here https://brainly.com/question/13813750
