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koban [17]
3 years ago
10

Need help ASAP!!! Multiple choice answers

Mathematics
1 answer:
kobusy [5.1K]3 years ago
8 0

Answer:

A. 16.55

Step-by-step explanation:

What we know is the angle of 38° and the hypotenuse is 21. Before we find x (side b), we have to find side a first. TO find that multiply the sine of 38 by 21.

21 * sin(38)

<em>sin(38) calculates to 0.615661475.</em>

21 * 0.615661475

<em>Multiply 21 by 0.615661475</em>

side a = 12.928890975

Now to find x. Use this to find x: √21² - 12.928890975²

√21² - 12.928890975²

<em>Square both numbers</em>

√441 - 167.156221843

<em>Subtract 167.156221843 from 441</em>

√273.843778157

<em>Find the square root of 273.843778157</em>

x ≈ 16.548225831

x ≈ 16.55, so the answer is A.

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Y=x² + 16x + 64
motikmotik

I'll do the first one to get you started

The equation y = x^2+16x+64 is the same as y = 1x^2+16x+64

Compare that to y = ax^2+bx+c and we see that

a = 1

b = 16

c = 64

Use the values of 'a' and b to get the value of h as shown below

h = -b/(2a)

h = -16/(2*1)

h = -8

This is the x coordinate of the vertex.

Plug this x value into the original equation to find the corresponding y value of the vertex.

y = x^2+16x+64

y = (-8)^2 + 16(-8) + 64

y = 0

Since the y coordinate of the vertex is 0, this means k = 0.

The vertex is (h,k) = (-8, 0)

---------------------

So we found that a = 1, h = -8 and k = 0

Therefore,

f(x) = a(x-h)^2 + k

f(x) = 1(x-(-8))^2 + 0

f(x) = (x+8)^2

is the vertex form

---------------------

<h3>Final answer to problem 1 is f(x) = (x+8)^2 </h3>
8 0
3 years ago
Please help, had problems with it for 3 hours.
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Find the surface area on a pyramid 12cm 7cm 7cm
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