# Point A is at #(-8 ,2 )# and point B is at #(7 ,-1 )#. Point A is rotated #pi/2 # clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?

Decrease in distance due to the rotation by

Rotated about the origin by

Decrease in distance due to the rotation by

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The new coordinates of point A after rotating (\pi/2) clockwise about the origin are (2, 8).

To find the new coordinates after rotation, we use the following formulas:

New_x = Old_y New_y = -Old_x

For point A (-8, 2): New_x = 2 New_y = -(-8) = 8

Regarding the change in distance between points A and B, rotating point A about the origin does not change the distance between points A and B. Therefore, the distance between points A and B remains the same.

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