answer = 9c²d^8
(3cd^4)^2
=(3)^2 × c^2 × (d^4)^2
=9×c^2×d^8 ----law of indices (a^m)^n = a^mn
=9c²d^8
Answer: 26
Step-by-step explanation:
lets replace a and b with the numbers provided
2+4(2+4)=2+4(6)=2+24=26
In music what does allegro meanIT MEANS FAST
Let's start with a picture.
We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST. Both have slope -1.
If we look at the difference of points (technically called vectors but we don't have to go there) we get
C-B=(-2,2)
T-S=(1,-1)
Without further calculation we can see T-S is half the length of C-B.
The problem asks for a dilation followed by a reflection. We know the dilation scale is k=1/2 because the new triangle is half the size.
After dilation we get A'B'C':
A'(3,2), B'(-1,0), C'(-2,1)
We see now we need a reflection that flips the coordinates x and y. That's the +45° line through the origin, namely y=x.
Answer: k=1/2, y=x
