To reflect in the line y = -x + 6, we translate everything down 6 first. This will make it seem like we are reflecting in the line y = -x
(x,y) → (x, y-6)
Then, to reflect in the line y = -x, we switch the x- and y-coordinates and then make them negative
(x,y) → (-(y-6), -x)
Then we move everything back up again
(x,y) → (-(y-6), -x + 6)
I will present to you an example. Reflect the point (-4, 8) in the line y = -x + 6.
(-4,8) → (-(8-6), -(-4) + 6) → (-2, 10)
You should graph this out to confirm with the reflection line.
Answer:
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The population will be 56,275 people.
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Answer:
A. 2 and-6
Step-by-step explanation:
Like terms are terms that contain the same variables raised to the same powers. In other words, they have the same variables with the same exponents.
So in option A, we have the terms 2 and -6. These terms are not like terms because they do not have the same variables.