Answer:
- 4 + 8m
Step-by-step explanation:
4m - 4 + 4m = ?
4m + 4m = 8m
- 4 + 8m is the answer because you can not simplify it anymore.
C is the answer because the X factors can’t repeat
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(3, -2)
Step-by-step explanation:
y = -2x + 4
-x + 3y = -9
-x + 3 (-2x + 4) = -9
-x + -6x + 12 = -9
-7x = - 9 – 12
-7x = - 21
X = 3
We substitute x with 3 to evaluate y;
-3 + 3y = -9
3y = -6
y = -2
Elimination Method;
y = -2x + 4
-x + 3y = -9
We arrange the equations for substitution;
2x + y = 4
-x + 3y = -9
We multiply the first equation with 3 so we can substract one variable to zero;
3 (2x + y = 4)
= 6x + 3y = 12
Then we subtract the two;
6x + 3y = 12
-x + 3y = -9
7x = 21
x = 3
We evaluate y by substitution x with 3 in one of the equation;
-x + 3y = -9
-3 + 3y = -9
3y = -6
y = -2
The final answer expressed as a coordinate point is;
(3, -2)
W is in the lower left corner located at (-1,-2)
W' is in the upper left corner located at (-2,1)
Notice that the original Y value (-2) became the new X value (-2) and the original X value (-1) is the inverse of the new Y value (1).
If you look at the coordinates of the other two pints you would see it was the same transformation.
When the X and Y coordinates switch like this, it is a 90 degree clockwise rotation around the origin.
