Answer: 36
Step-by-step explanation:
5(2)+3(-3)-20+3(2)-15(-3)+4
10-9-20+6+45+4
-19+55
36
When you add 2pi to the angle, the amount is still the same. Therefore, you can make -17pi/4 positive by adding 6pi to it.
6pi + (-17pi/4)
= 24pi/4 - 17pi/4
= 7pi/4
The soluions are approximately x ∈ {0.5, 7.8}.
Answer:
- 1/3
- y-axis
- (1, -2)
Step-by-step explanation:
The length AC is 3, but the corresponding length FD is 1, so the dilation factor is FD/AC = 1/3.
The reflection is a left/right reflection, so it is across a vertical line. We suspect the only vertical line you are interested in is the y-axis. (It could be reflected across x=1/2, and then the only translation would be downward.)
The above transformations will put C' at (1, 0). Since the corresponding point D is at (2, -2), we know it is C' is translated by (1, -2) to get to D.
C' + translation = D
(1, 0) +(1, -2) = (2, -2)