2^5 ... 2 x 2 x 2 x 2 x 2
Answer: Polygon Q's area is 1/4 of Polygon P's area
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Explanation:
Imagine we had a square with side length 8. The area of this square is 8*8 = 64.
Now let's reduce each side of the square by the scale factor 1/2. So each new side is 8*(1/2) = 4. The area of this smaller square is 4*4 = 16.
Comparing the new area (16) to the old one (64), we see that the new area is 16/64 = 1/4 of the old area.
In other words,
new smaller area = (1/4)*(old larger area)
So this is one example to see why (1/2)*(1/2) = 1/4 is the area scale factor based on the linear scale factor of 1/2. In short, (1/2)^2 = 1/4. Whatever the original scale factor is, square it and you'll get the area scale factor.
Answer:
A. horizontal reflection
Step-by-step explanation:
Given:
![f(x)=(2x-3)^2](https://tex.z-dn.net/?f=f%28x%29%3D%282x-3%29%5E2)
![g(x)=(-2x-3)^2](https://tex.z-dn.net/?f=g%28x%29%3D%28-2x-3%29%5E2)
To identify the type of transformation.
Solution:
On close observation of the functions we find the that sign of
has changed in
with other terms being constant.
<em>Thus, the transformation statement can be given as:</em>
![f(x)\rightarrow f(-x)](https://tex.z-dn.net/?f=f%28x%29%5Crightarrow%20f%28-x%29)
As:
![f(x)=(2x-3)^2](https://tex.z-dn.net/?f=f%28x%29%3D%282x-3%29%5E2)
![f(-x)=(2(-x)-3)^2= (-2x-3)^2 = g(x)](https://tex.z-dn.net/?f=f%28-x%29%3D%282%28-x%29-3%29%5E2%3D%20%28-2x-3%29%5E2%20%3D%20g%28x%29)
The transformation
describes horizontal reflection of function across the y-axis.
Thus,
is horizontally reflected across y-axis to get
.
Answer:
the slope is -2
Step-by-step explanation:
There are 12 months in a year. The rental term is for 2 years, that's a total of 24 months.
They pay $505 every month
24 months × $505 = $12,120 paid over the lease term.
answer is D.