Nate tosses a ball up a hill for his dog to chase. The path of the ball is modeled by the function y=-1/4x^2 + 33/5x, where x is
the ball's horizontal distance from Nate in feet and y is the ball's
height in feet. The hill is modeled by the line y
2. How far
does the ball travel horizontally before it hits the ground? (in
feet, round to tenth place if necessary)

26.4 m

Step-by-step explanation:

The path the ball follows is given by the function

Before it hits the ground means y will be zero.

There are two points where the vertical displacement is zero the point at which Nate tosses the ball and the point where it lands.

So, the ball travels 26.4 m horizontally before it hits the ground.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have