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Express each of the following in words (X,Y) — > (X-1,Y-9) (X,Y) —> (X+6,Y-3) (X,Y) —> (X-7,Y+2)

a. (X-1, Y-9) is obtained by subtracting 1 from X and 9 from Y.
b. (X+6, Y-3) is obtained by adding 6 to X and subtracting 3 from Y.
c. (X-7, Y+2) is obtained by subtracting 7 from X and adding 2 to Y.
d. All of the above.

1 Answer

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Final answer:

The expressions (X-1, Y-9), (X+6, Y-3), and (X-7, Y+2) are obtained by performing specific operations on X and Y.

Step-by-step explanation:

Let's interpret the given coordinate transformations:

a. The transformation (X, Y) → (X - 1, Y - 9) indicates a change where 1 is subtracted from the X-coordinate and 9 is subtracted from the Y-coordinate.

b. The transformation (X, Y) → (X + 6, Y - 3) implies an alteration where 6 is added to the X-coordinate, and 3 is subtracted from the Y-coordinate.

c. The transformation (X, Y) → (X - 7, Y + 2) suggests a change involving the subtraction of 7 from the X-coordinate and the addition of 2 to the Y-coordinate.

Each of the given descriptions (a, b, c) correctly explains the respective transformations involving the X and Y coordinates. Hence, the correct choice that accurately describes all of the coordinate transformations is:d. All of the above.

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