Answer:
b. A''(7, 5), B''(2, 5), C''(4, –1)
Step-by-step explanation:
Given vertices of ΔABC:
- A = (-1, 0)
- B = (4, 0)
- C = (2, 6)
Translation <u>mapping rule</u>:
(x, y) → (x – 6, y – 5)
Therefore:
- A' = (-1 - 6, 0 - 5) = (-7, -5)
- B' = (4 - 6, 0 - 5) = (-2, -5)
- C' = (2 - 6, 6 - 5) = (-4, 1)
Rotation of 180° clockwise rule:
(x, y) → (-x, -y)
Therefore:
- A'' = (-7, -5) = (7, 5)
- B'' = (-2, -5) = (2, 5)
- C'' = (-4, 1) = (4, -1)
Learn more about transformations here:
brainly.com/question/28354239
brainly.com/question/27743837
Integration by parts will help here. Letting

and

, you end up with

and

. Now


For the remaining integral, setting

gives

, so

Putting everything together, you end up with
D
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Answer:
Hello there!
Since he had 6 candies and lost two, all you have to do is subtract 2 from 6.
Therefore, Jerry only has 4 candies.
Hope this helps!!!
Step-by-step explanation:
F(f-1x) will be equal to x
take a simple example
f(x) = 2x
so x = f(x) / 2
f-1(x) = x/2
f(f-1x) = 2 ( x/2) = 2 * x/2 = x