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nekit [7.7K]
4 years ago
11

(16x 2 -25) (4x + 5) you have to divide them

Mathematics
1 answer:
DIA [1.3K]4 years ago
8 0
\frac{16x^{2}-25}{4x+5} = \frac{(4x-5)(4x+5)}{4x+5} = 4x - 5,

Where x \neq - \frac{5}{4}
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Answer:

The rocket hits the gorund after approximately 10.71 seconds.

Step-by-step explanation:

The height of the rocket <em>y</em> in feet <em>x</em> seconds after launch is given by the equation:

y=-16x^2+165x+69

And we want to find the time in which the rocket will hit the ground.

When it hits the ground, its height above ground will be 0. Hence, we can let <em>y</em> = 0 and solve for <em>x: </em>

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\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

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Substitute:

\displaystyle x=\frac{-165\pm\sqrt{(165)^2-4(-16)(69)}}{2(-16)}

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\displaystyle x=\frac{-165\pm\sqrt{31641}}{-32}=\frac{165\pm\sqrt{31641}}{32}

Hence, our solutions are:

\displaystyle x_1=\frac{165+\sqrt{31641}}{32}\approx 10.71\text{ or } x_2=\frac{165-\sqrt{31641}}{32}\approx-0.40

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So, the rocket hits the gorund after approximately 10.71 seconds.

7 0
3 years ago
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