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
Hope this helped!
Answer:
D
Step-by-step explanation:
please give me brainliest
Complete question is;
An electrician earns $110 after his first hour of working for a client. His total pay based on the number of hours worked can be represented using the sequence shown.
110, 130, 150, 170, ...
Which recursive formula can be used to determine the total amount of money earned for each successive hour worked based on the amount of money currently earned?
Answer:
The recursive formula can be expressed as; f(x + 1) = f(x) + 20
Step-by-step explanation:
Electrician earns $110 dollars after working for 1 hour.
We were told his total pay based on number of hours worked can be represented by: 110, 130, 150, 170...
This means that writing it down as a function, we can say;
f(1) = $110, f(2) = $130 e.t.c
Now,since we want to express a recursive formula to explain the question, then let's say after the 1 hour worked, he earned $110, then the hour after that, his total is $130,then the hour after that, his total is $150.
This means that he earns an additional $20 each hour.
Thus;
f(x + 1) = f(x) + 20
Where x is number of hours and f(x) is payment after x number of hours
The recursive formula can be expressed as; f(x + 1) = f(x) + 20
88.21 fram is the anserer
Answer:
B
Step-by-step explanation:
it is an exponential function
