The height of a rocket x seconds after it is launched from a hill that is 224 feet high is modeled by the function f (2) = -16x² + 80x + 224. How long does it take the rocket to hit the ground?
It takes
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seconds.

t = 7 seconds

Step-by-step explanation:

The height of a rocket x seconds after it is launched from a hill that is 224 feet high is modeled by the function :

f (x) = -16x² + 80x + 224

We need to find how long does it take the rocket to hit the ground. At that point,

f(x) = 0

Neglecting -2. Hence, the rocket will take 7 seconds to hit the ground.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.