Robbie builds model rockets. One day he sets up a rocket, backs away from the launch pad, and then shoots the rocket off into the air. The rocket’s path is represented by the equation $y=-10x^2+130x-400$, where $y$ is the height in meters off the ground and $x$ is the horizontal distance in meters from Robbie.  

1. Use either the Zero Product Property or the Quadratic Formula to find the $x$-intercepts of the path of Robbie’s rocket. What do the $x$-intercepts tell you?

   Answer (a):

   $x=8$ or $x=5$

   Coordinates: $(5,0)$ and $(8,0)$

   Robbie backed up $5$ m from the launch pad.
   The rocket landed $8$ m away from him.perty or the Quadratic Formula to find the $x$-intercepts of the path of Robbie's rocket. What do the $x$-intercepts tell you?

2. When Robbie's rocket lands, how far is it from the launch pad?

   Hint (b):

   The launch pad was 5m from Robbie, and the rocket landed 8m from him in the same direction.