<span>C. Trapezoid ABCD was rotated 90° counterclockwise around the origin and then reflected across the x-axis.</span>
Answer:

Step-by-step explanation:
We have the expression:

The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x
We will get:

Now we can directly add the terms to get:

We can't simplify this anymore
Answer:
B
Step-by-step explanation:
Let me know if you need an explanation.
Answer:
1
Step-by-step explanation:
Hello,
2x – 1 = 1 – 2x
<=> 2x-1+2x=1
<=> 4x-1=1
<=> 4x = 1+1=2
<=> x = 2/4 = 1/2
Then there is only one solution.
Thanks
Answer:
E' = (-4, 3) Answer C in your list of options
See attached image for the plot.
Step-by-step explanation:
Recall that a rotation in 180 degrees around the origin produces the following change in coordinates: (x, y) --> (-x, -y)
Therefore, since we read the coordinates of point E as: (-4, 3),
the new coordinates after the rotation will be: (4, -3) and the point will look like the red point in the attached image.