Answer:
(-1, 1), (-2, 2), and (-1, 3)
Step-by-step explanation:
The formula for rotation of a point (x,y) by an angle θ about the origin is
x' = xcosθ - ysinθ
y' = ycosθ + xsinθ
If θ = 90°, sinθ = 1 and cosθ = 0, and the formula becomes
x' = -y
y' = x
P: (1, 1) ⟶ (-1, 1)
Q:(2, 2) ⟶ (-2, 2)
R: (3, 1) ⟶ (-1, 3)
The vertices of P'Q'R' are (-1, 1), (-2, 2), and (-1, 3).
The Figure below shows the triangle before and after the rotation.
Answer:
156800 Ways
Step-by-step explanation:
Since 3 states can be represented in 19600 ways, -->
now we have 2 ways different from the 1st of the 3 states -->
We can also select in 2 independent ways from the second of the 3 states -->
and 2 ways from the third of the 3 stats
This gives us 2 x 2 x 2 x 19600 or => 8 x 19600 giving us 156800 ways
Thus, we have our answer of 156800 ways
<em>Hope this helps!</em>
If you want to know how ABC turned to A'B'C', then
(assumption)
It may be shape ABC was rotated 180 degrees counterclockwise/clockwise, since the rules for rotating a shape 180 degrees is (x,y) -> (-x,-y)
i may be wrong