The formula for throwing a baseball in the air is represented by h=-16t^2 + 12t + 40 where h is the height of the ball. after how many seconds will the ball hit the ground?

The ball will hit the ground in 2 seconds

Step-by-step explanation:

The formula for throwing a baseball in the air is represented by :

h = -16t² + 12t + 40

where h is the height of the ball and t is the time in seconds

Now we need to find after how many seconds will the ball hit the ground

When the ball hits the ground the height of the ball is 0

⇒ -16t² + 12t + 40 = 0

⇒ 4t - 3t - 10 = 0

⇒ 4t² - 8t + 5t - 10 = 0

⇒  4t(t - 2) + 5(t - 2) = 0

⇒ t cannot be negative so t = 2

Hence, The ball will hit the ground in 2 seconds

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

x-3y=4

step-by-step e