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Find the coordinates of the image of G(−3,9) after the translation (x,y)→(x+10,y−7) .
(13, 2)
(13, 16)
(7, 16)
(7, 2)

Respuesta :

Answer:

D. (7,2)

Step-by-step explanation:

-3 +10 is 7

9-7 is 2.

kinda just put them together, you get (7, 2)

I hope this helps!

pls ❤ and mark brainliest pls!

The image of (-3, 9) is (7,2).

Mathematically speaking, a translation is defined by the following operation:

[tex]P'(x, y) = P(x,y) + T(x,y)[/tex] (1)

Where:

  • [tex]P(x,y)[/tex] - Original point.
  • [tex]T(x,y)[/tex] - Translation vector.
  • [tex]P'(x,y)[/tex] - Resulting point.

If we know that [tex]P(x,y) = (-3, 9)[/tex] and [tex]T(x,y) = (10, -7)[/tex], then the resulting point is:

[tex]P'(x,y) = (-3, 9) + (10, -7)[/tex]

[tex]P'(x,y) = (7, 2)[/tex]

Hence, the image of (-3, 9) is (7,2).

We kindly invite you to check this question on translation: https://brainly.com/question/12463306