So, the best way to do this is translate it to clockwise. 90 degrees counterclockwise is equal to 270 degrees clockwise. So, basically, to rotate, you would follow the following format for each point- (X,Y) -> (-Y,X) Now, you do it for each of the points. A= (-5,5), so A' would be (-5,-5) B= (-1,5), so B' would be (-5,-1) C= (-5,4), so C' would be (-4,-5) D= (-1,4) so D' would be (-4,-1) Notice, how all the points end up in the square below it. Each quadrant has a specific number. The top right is quadrant 1, the top left is quadrant 2, the bottom left is quadrant 3, and the bottom right is quadrant 4. If you are rotating 270 degrees clockwise, you move to the right, like a clock. That puts the new rectangle in quadrant 3. That is a way to check your work. Now, just so you know for future reference, the following are also different formats for different problems-- A 90 degree Clockwise rotation about the origin will be (X,Y) -> (Y, -X) *Note, -x just stands for the opposite. Say your original x is a negative number. Then the prime (new) x will be positive. A 180 degree Clockwise rotation about the origin would be (X,Y) -> (-X,-Y) *Note, -y also stands for the opposite. A 270 degree clockwise rotation about the origin would be (X,Y) -> (-Y,X). For translating--- 90 degrees Clockwise = 270 degrees Counter 270 degrees Clockwise = 90 degrees Counter
you know that r is less than or equal to -8, so you write that, and then you know that r is also greater than 0, so then you add that to it, and then you have the answer. r will be in the middle because it is the range of what are can be.
A quotient means a ratio or one quantity being divided by another, or in algebraic terms (a/b). In this case, the first quantity is "nine times a number" represented in terms of n as (n). The other quantity is just the number 7.
Dividing the 9 times n by 9 gives us the following:
