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2 years ago

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 4

Mathematics

1 answer:

Vinil7 [7]2 years ago

4 0

Answer:

BD = 6

Step-by-step explanation:

Theorem: The altitude to the hypotenuse of a right triangle is the mean proportional between the segments of the hypotenuse.

So, $\frac{4}{BD} = \frac{BD}{9}$

$BD^{2} = 36$

BD = 6

See how easy that is IF you know the theorem.

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A baseball is hit into the air, and its height h in feet after t seconds is given by h(t)= -16t^2+128t+2. The height of the bas

tankabanditka [31]

Answer:

$\large \boxed{\sf \ \text{2 feet, 4 seconds, 258 feet } \ }$

Step-by-step explanation:

Hello,

To know the height of the baseball when it is hit we have to compute h(0), as t = 0 is when the baseball is hit into the air.

$h(0)=-16\cdot 0^2+128 \cdot 0+2=2$

So, the answer is <u>2 feet.</u>

<u />

h(x) is a parabola which can be written as $ax^2+bx+c$ , it means that the vertex is the point (-b/2a,h(-b/2a)).

The baseball reached its maximum height after

$\dfrac{-b}{2a}=\dfrac{-128}{-2*16}=\boxed{4 \text{ seconds}}$

And the maximum height of the baseball is h(4).

$h(0)=-16\cdot 4^2+128 \cdot 4+2=-256+512+2=\boxed{258 \ \text{feet}}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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3 years ago

Can someone help quickly plz

Ira Lisetskai [31]

We have that

using a graph tool
see the attached figure

the answer is the first option
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2 years ago