Theo's flying disc got stuck in a tree 14 feet from the ground. theo threw his shoe up at the disc to dislodge it. the height in feet h of the shoe is given by the equation h= -16^2+25t+6, where t is the time in seconds. determine whether the shoe hit the disc. use the discriminant to explain your answer.

The shoe hit the disc.

Step-by-step explanation:

Let be a quadratic function where a, b and c are the real coefficients of the function.

Then the discriminant of the function is:

The result of this expression gives us information about the roots of this equation.

* If the discriminant is > 0 then the equation has 2 real solutions

* If the discriminant is > 0 then the equation has 2 complex solutions

* If the discriminant is = 0 then the equation has 1 real solution.

For this case we have the equation:

If we assume that the shoe reached the disc, then

So:

Then the discriminant is:

The discriminant is greater than 0. Then the equation has 2 real solutions. and .

This means that if there are values of t for which . In other words, this means that the shoe reached the disc.

In fact if you use the quadratic formula to solve the equation you will get:

triangle abc is reflected on the line x=-6.5 then reflected again on the x axis

step-by-step explanation:

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer