5 - 1 and 1/3 * I’m so confused on how to do this...
2 answers:
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Answer: (12,9), (6,9), (12,-6) and (6,-6)
Step-by-step explanation:
Given: The coordinates of the original rectangle are (8, 6), (4, 6), (8, −4), and (4, −4). We know that the coordinates of the image after dilation from the origin by a scale factor of k is given by:_
Then, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are given by:_
(8, 6)→
(4, 6)→
(8, −4) →
(4, −4)→
Hence, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are (12,9), (6,9), (12,-6) and (6,-6).
First thing to do is to change the radians to degrees so it's easier to determine our angle and where it lies in the coordinate plane. 
. If we sweep out a 210 degree angle, we end up in the third quadrant, with a 30 degree angle. In this quadrant, x and y are both negative, but the hypotenuse, no matter where it is, will never ever be negative. So the side across from the 30 degree reference angle is -1, and the hypotenuse is 2, so the sine of this angle, opposite over hypotenuse, is -1/2