# A line segment with endpoints at #(1, 3)# and #(8, -2)# is rotated clockwise by #pi/2#. What are the new endpoints of the line segment?

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The new endpoints of the line segment after rotating clockwise by ( \frac{\pi}{2} ) are (-3, 8) and (-2, 3).

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The new endpoints of the line segment after rotating clockwise by π/2 are (-3, 1) and (-2, 8).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- Points A and B are at #(6 ,7 )# and #(7 ,4 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C?
- A triangle has corners at #(4, 3 )#, ( 7, -8)#, and #(6, -2 )#. If the triangle is reflected across the x-axis, what will its new centroid be?
- A line segment has endpoints at #(2 , 3)# and #(5 , 2)#. If the line segment is rotated about the origin by #(pi)/2 #, translated vertically by #3#, and reflected about the y-axis, what will the line segment's new endpoints be?
- Point A is at #(3 ,2 )# and point B is at #(3 ,-8 )#. 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?
- What is the equation of the locus of points at a distance of #sqrt(20)# units from #(0,1)#? What are the coordinates of the points on the line #y=1/2x+1# at a distance of #sqrt(20)# from #(0, 1)#?

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