Answer:
(-7, -3)
Step-by-step explanation:
So the formula is (x, y) --> (-y, x) for a 90 degrees counterclockwise rotation.
To apply this formula to (-3,7), first identify which is the x-coordinate and which is the y-coordinate.
x-coordinate is -3 & y-coordinate is 7
Then you literally just substitute it into the formula like so:
(-y, x) -->(-(7), (-3)) --> (-7, -3)
Try to put parantheses around the coordinate when substituting to prevent confusion & incorrect negative signs.
Hope it helps and good luck (●'◡'●)
Use elimination to create a one variable equation.
x-3y=15 -> 2x-6y=30
2x-6y=30
+(-2x-4y=10)
------------------
-10y=40
Then solve (for y in this case).
y=-4
Now we can use the value for y to solve for x.
x-3y=15 -> x-3(-4)=15 -> x=3
For the transformation
the Jacobian is
with determinant
The vertices of the triangle in the -plane are
Then the integral is