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2 years ago

ANSWERS AT THE BOTTOM!! PLEASE HELP 10 POINTs!!

Mathematics

1 answer:

ZanzabumX [31]2 years ago

4 0

Answer:

The slope is -1

Y-intercept is (0, -6)

Equation is y = -1x - 6 or y = -x - 6 either is right

Step-by-step explanation:

We already know that the slope is negative because the line is pointed this way \ pointed up to the left.

You have to do rise/run to find the slope.

The rise is 6 and the run is 6

6/6 = 1 since the line is negative the slope is -1x or -x

The y intercept is -6

Use the point (-2, -4)

Plug in

-4 = -(-2) + b

-4 = 2 + b (subtract 2 on both sides)

-6 = b

y = -x - 6

Hope this helps ya!!

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3 years ago

<img src="https://tex.z-dn.net/?f=%20%7B%20%5Ccos%5E%7B4%7D%5Calpha%7D%20%5C%3A%20%2B%20%20%20%5Csin%5E%7B2%7D%20%5Calpha%20%5C%

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Answer:

Proved

Step-by-step explanation:

$cos^4\alpha +sin^4\alpha =\frac{1}{4}(3+cos4\alpha )\\\\$

Take the Left Hand Side:

$cos^4\alpha +sin^4\alpha\\\\(cos^2\alpha )^2+(sin^2\alpha )^2\\\\(\frac{1+cos2\alpha }{2})^2+(\frac{1-cos2\alpha }{2})^2 \\\\\frac{1+2cos2\alpha +cos^22\alpha }{4}+\frac{1-2cos2\alpha +cos^22\alpha }{4} \\\\$

$\frac{1+2cos2\alpha +cos^22\alpha +1-2cos2\alpha +cos^22\alpha }{4} \\\\\frac{2+2cos^22\alpha }{4} \\\\\frac{1+cos^22\alpha }{2} \\\\\frac{1}{2}(1+cos^22\alpha )\\\\$

$\frac{1}{2}(1+\frac{1+cos4\alpha }{2})$

$\frac{1}{2}(\frac{2+1+cos4\alpha }{2})\\\\\frac{1}{4}(3+cos4\alpha )\\\\$

Hence Proved!

The following identities were used are attached in an image

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