Tanya kicks a ball into the air. The function that models this scenario f(t)= -16t²+96t, where h is the height of the ball in feet and t is the time in seconds. When will the ball hit the ground?

The ball hit the ground at t=6 seconds

Step-by-step explanation:

we have

where

f(t) is he height of the ball in feet

t is the time in seconds

we know that

When the ball hit the ground, the height of the ball is equal to zero

so

For f(t)=0

solve for t

Factor the leading coefficient -16t

the solutions are

t=0, t=6

Remember that

For t=0 ----> f(t)=0 is the initial height of the ball

Fort=6 sec ----> f(t)=0

therefore

The ball hit the ground at t=6 seconds

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

ummm seems that u didnt post the attachement !