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Citrus2011 [14]
3 years ago
13

(-3, 117) (0, 45) (3, 27) Quadratic regression

Mathematics
1 answer:
telo118 [61]3 years ago
8 0

Answer:

is it y = -15x + 63

Step-by-step explanation:

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 Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III
vodka [1.7K]

Given:

\sin x=-\dfrac{15}{17}

x lies in the III quadrant.

To find:

The values of \sin 2x, \cos 2x, \tan 2x.

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others  are negative.

We know that,

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

(-\dfrac{15}{17})^2+\cos^2 x=1

\cos^2 x=1-\dfrac{225}{289}

\cos x=\pm\sqrt{\dfrac{289-225}{289}}

x lies in the III quadrant. So,

\cos x=-\sqrt{\dfrac{64}{289}}

\cos x=-\dfrac{8}{17}

Now,

\sin 2x=2\sin x\cos x

\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})

\sin 2x=-\dfrac{240}{289}

And,

\cos 2x=1-2\sin^2x

\cos 2x=1-2(-\dfrac{15}{17})^2

\cos 2x=1-2(\dfrac{225}{289})

\cos 2x=\dfrac{289-450}{289}

\cos 2x=-\dfrac{161}{289}

We know that,

\tan 2x=\dfrac{\sin 2x}{\cos 2x}

\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}

\tan 2x=\dfrac{240}{161}

Therefore, the required values are \sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}.

7 0
3 years ago
it took 8 hours for karl and lou to finish a project for science class together. if karl had worked alone on the project it woul
kkurt [141]
It would take 10 hours just like it did for Karl .
4 0
4 years ago
Evaluate the expression n ÷ 5 for n = 3.2.<br><br> A. 0.064<br> B. 0.604<br> C. 0.64<br> D. 6.4
Licemer1 [7]

Answer:

n/5

substitution for n = 3.2

3.2/5

0.64

3 0
3 years ago
To get the echo of a positive integer, we write it twice in a row without a space. For example, the echo of 2022 is 20222022. Is
Lynna [10]

The <em>echo</em> number 20222022202220222022 is the <em>perfect</em> square of 4496890281.

<h3>What echo number is a perfect square</h3>

An <em>echo</em> number has a <em>perfect</em> square if its square root is also a <em>natural</em> number. After some iterations we found that <em>echo</em> number 20222022202220222022 is a <em>perfect</em> square:

\sqrt{20222022202220222022} = 4496890281

The <em>echo</em> number 20222022202220222022 is the <em>perfect</em> square of 4496890281. \blacksquare

To learn more on natural numbers, we kindly invite to check this verified question: brainly.com/question/17429689

8 0
3 years ago
Please help me, I don’t wanna fail..
balandron [24]
The answer is 8.7 cm
8 0
3 years ago
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