Please help, I can't figure this out.

5 seconds

Step-by-step explanation:

When the rocket is on the ground, then h = 0 , that is

- 6t² + 30t = 0 ← factor out - 6t from each term

- 6t(t - 5) = 0

Equate each factor to zero and solve for t

- 6t = 0 ⇒ t = 0 ← when rocket is launched

t - 5 = 0 ⇒ t = 5 ← time when rocket returns to ground

saving = more money

step-by-step explanation:

if you have 100 bucks, and you want to buy a candy bar, even if you have one at home, if you choose not to buy it, you save.

~courtney

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4