The scale factor which used to perform the dilation was 0.4
Step-by-step explanation:
If point (x , y) is dilated about the origin by a scale factor k, then
- Its image is point (kx , ky)
- If k > 1, then kx > x and ky > y
- If 0 < k < 1, then kx < x and ky < y
∵ Δ RST is dilated about the origin O to create Δ R'S'T'
- Assume that the scale factor is k
∵ Point R is (3 , 9)
∴ x = 3 and y = 9
∵ Point R' is (1.2 , 3.6)
∴ kx = 1.2 and ky = 3.6
∵ x = 3 and kx = 1.2
- Substitute x in kx to find k
∴ k(3) = 1.2
∴ 3k = 1.2
- Divide both sides by 3
∴ k = 0.4
To check your answer use the y-coordinates of R and R' to find k
∵ y = 9 and ky = 3.6
- Substitute the value of y in ky to find k
∵ k(9) = 3.6
∴ 9k = 3.6
- Divide both sides by 9
∴ k = 0.4
∴ The scale factor is 0.4
The scale factor which used to perform the dilation was 0.4
Learn more:
You can learn more about dilation in brainly.com/question/3552621
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Answer:
Step-by-step explanation:
Given
Required
Express as a single expression
We have:
Write 7 as an exponent
Rewrite as:
Apply quotient and product rule of logarithm
Apply law of indices
Solve exponent
Answer:
81
Step-by-step explanation:
25 and 27 are not perfect squares so they can not be the answer.
36 and 81 are both multiples of 3, but only 81 is not even, so the answer is 81
