Because we can transform circle A into circle B by using transformations, we conclude that circle A and B are similar.
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How to prove that the two circles are similar?</h3>
We know that two figures are similar if one is a transformation of the other. So let's find the transformations that we need to apply to circle A to get circle B.
First, let's move the center. We can see that we need to translate circle A 5 units down and 3 units to the left.
Now, the radius of circle A is 5 units, while the radius of circle B is 2 units, then we have a scale factor k such that:
k*5 units = 2 units
k = 2/5
Then, if we apply the transformations to circle A.
- shift of 5 units down.
- shift of 3 units left.
- dilation of scale factor 2/5.
We get circle B, so circle A and circle B are similar.
If you want to learn more about circles, you can read:
brainly.com/question/1559324
Answer:
the answer is going to be supplementary angles
Answer:
Step-by-step explanation:
y=4 times 1/2 to the power of x can be written symbolically as
4 4
y = 4(1/2)^x. This is the same as y = ------- or y = -------- * 2^(-x)
2^x 1
This function is a "decaying exponential."
A suitable table follows:
x 4(2^[-x]) x y
0 4(2^0) (0, 4)
1 4(2^1) (1, 8)
2 4(2^2) (2, 16)
and so on.
Answer:
10 miles
Step-by-step explanation:
Find how much she runs during one track practice by dividing 8 by 4. This gives you the equation 2x, with x being the number of track practices.
Answer:
2/3 (B)
Step-by-step explanation:
The y values increase by 2 every time and the x values increase by 3. The rule for slope is rise(y)/run(x) so you get b, 2/3