The function f(x) = –2x2 + 32 represents the height of an object, f(x), after x seconds. How many seconds does it take for the object to hit the ground?

Given:

The height of an object, f(x), after x seconds is

To find:

The time taken be object to hit the ground.

Solution:

We have,

The object will hit the ground if the height is 0, i.e., f(x)=0.

Divide both sides by 2.

Taking square root on both sides.

Time cannot be negative. So, x=4.

Therefore, the object will hit the ground after 4 seconds.

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft

the answer is 1030 it's very simple math.