Kesha threw her baton up in the air from the marching band platform during practice. The equation h(t) = −16t² + 54t + 40 gives the height of the baton, in feet, t seconds after it is thrown from the platform. What is the height of the platform? At what speed was the baton thrown? If she doesn't catch it, when will it hit the ground?

(a)Height of the platform=40 feet

(b)Initial Velocity=54 ft/sec

(c)4 seconds

Step-by-step explanation:

The equation gives the height of the baton, in feet, t seconds after it is thrown from the platform.

(a)Height of the platform

The Height of the platform is the height at which t=0

Height of the platform=40 feet

(b)To determine the speed at which the baton was thrown, we find the velocity, v(t).

(c)The baton will hit the ground when its height, h(t)=0

Since -0.625 is not valid, the baton will hit the ground 4 seconds after it is thrown.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

25/6 hope it : )

step-by-step explanation: