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otez555 [7]
2 years ago
9

Point A' is the image of point A when point A is rotated about the origin B. What angle in the counterclockwise direction is

Mathematics
1 answer:
Elza [17]2 years ago
8 0

9514 1404 393

Answer:

  90° CCW

Step-by-step explanation:

The slope of BA is -1/3. The slope of BA' is 3, so the slopes are opposite reciprocals of one another. These segments are perpendicular, meaning the angle between them is 90°.

Point A' has been rotated 90° CCW about point B.

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What values of b satisfy 3(2b + 3)2 = 36?
KiRa [710]

the correct question is

What values of b satisfy 3(2b+3)^2 = 36


we have

3(2b+3)^2 = 36

Divide both sides by 3

(2b+3)^2 = 12

take the square root of both sides

( 2b+3)} =(+ /-) \sqrt{12} \\ 2b=(+ /-) \sqrt{12}-3


b1=\frac{\sqrt{12}}{2} -\frac{3}{2}

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b2=\frac{-\sqrt{12}}{2} -\frac{3}{2}

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therefore


the answer is

the values of b are

b1=\sqrt{3} -\frac{3}{2}

b2=-\sqrt{3} -\frac{3}{2}


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Find the mount of simple interest on a 1800$ loan at 6% for 3 years
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Answer:

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Step-by-step explanation:

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