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Answer: The answer is (3,0).

Step-by-step explanation: We know this because we have to move the positive 5, 2 to the left. Then we have to do the -5 up 5. After you do that you get (3,0). Hope this helps!

Point P is translated by 2 units to the left and 5 units to the upward direction. Then the coordinate of the point P' is (3, 0).

What is a translation of a point?

It simply means that the point is being shifted from [tex]\rm (x_1, y_1)[/tex] to [tex]\rm (x_2, y_2)[/tex] in a cartesian coordinate.

Given

The point P' is the image of point P (5,-5) under a translation by 2 units to the left and 5 units up.

Then the position of the point P' will be.

Point P is translated by 2  to the left is the negative x-axis. Then coordinate of point P will be

[tex](5 - 2, -5)\\\\(3, -5)[/tex]

Point P is translated by 5  to the upward is the positive y-axis. Then coordinate of point P will be

[tex](3, -5 + 5)\\\\(3, 0)[/tex]

Then, the coordinate of the point P' is (3, 0).

More about the translation of the point link is given below.

https://brainly.com/question/19127095

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