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mixer [17]
2 years ago
13

PLEASE HELP!! Which describes the graph of y = (x + 7)^2 - 9?

Mathematics
1 answer:
mezya [45]2 years ago
5 0

Answer:

The answer is D. Vertex at (-7,-9).

Step-by-step explanation:

The equation is in vertex form, so you take the opposite of x and the constant stays the same. So, the opposite of 7 is -7 and -9 stays the same.

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What basic trigonometric identity would you use to verify that sin^2x +cos^2x/cos x = sec x
gogolik [260]

<u>Answer:</u>

The basic identity used is \bold{\sin ^{2} x+\cos ^{2} x=1}.

<u>Solution: </u>

In this problem some of the basic trigonometric identities are used to prove the given expression.

Let’s first take the LHS:

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}

Step one:

The sum of squares of Sine and Cosine is 1 which is:

\sin ^{2} x+\cos ^{2} x=1

On substituting the above identity in the given expression, we get,

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}=\frac{1}{\cos x} \rightarrow(1)

Step two:

The reciprocal of cosine is secant which is:

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On substituting the above identity in equation (1), we get,

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}=\sec x

Thus, RHS is obtained.

Using the identity \sin ^{2} x+\cos ^{2} x=1, the given expression is verified.

6 0
3 years ago
What is the volume of the prism?
kkurt [141]
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6 0
3 years ago
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irina1246 [14]

Answer:

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wlad13 [49]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago
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