A hovercraft takes off from a platform. Its height (in meters), xxx seconds after takeoff, is modeled by: h(x)=-3(x-3)^2+108
How many seconds after takeoff will the hovercraft land on the ground?

Respuesta :

For this case we have the following function:

[tex] h (x) = - 3 (x-3) ^ 2 + 108 [/tex]

By the time of the landing we have:

[tex] -3 (x-3) ^ 2 + 108 = 0 [/tex]

From here, we clear the value of x.

We have then:

[tex] -3 (x-3) ^ 2 = -108 [/tex]

[tex] (x-3) ^ 2 = \frac{-108}{- 3} [/tex]

[tex] (x-3) ^ 2 = 36 [/tex]

Discarding the negative root we have:

[tex] (x-3) = \sqrt{36} [/tex]

[tex] x = 6 + 3 [/tex]

[tex] x = 9 [/tex]

Answer:

9 seconds after takeoff the hovercraft will land on the ground

Answer:

9 Seconds

Step-by-step explanation:

I took the khan academy quiz