# A line segment has endpoints at #(7 , 4)# and #(2 , 5)#. If the line segment is rotated about the origin by #(3pi)/2 #, translated horizontally by #-3#, and reflected about the y-axis, what will the line segment's new endpoints be?

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The line segment's new endpoints after the given transformations will be (-4, 7) and (-3, 2).

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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.

- A triangle has corners at #(2, 1 )#, #( 1, 3 )#, and #(5 , 5 )#. If the triangle is dilated by # 3 x# around #(1, 6)#, what will the new coordinates of its corners be?
- Circle A has a radius of #6 # and a center of #(2 ,5 )#. Circle B has a radius of #3 # and a center of #(1 ,7 )#. If circle B is translated by #<3 ,1 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?
- Circle A has a radius of #3 # and a center of #(2 ,1 )#. Circle B has a radius of #2 # and a center of #(7 ,3 )#. If circle B is translated by #<4 ,2 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?
- A line segment goes from #(5 ,8 )# to #(4 ,2 )#. The line segment is reflected across #x=-3#, reflected across #y=-5#, and then dilated about #(2 ,0 )# by a factor of #2#. How far are the new endpoints from the origin?
- A triangle has corners at #(6 ,2 )#, #(-3 ,4 )#, and #(1 ,-1 )#. If the triangle is dilated by a factor of #1/3 # about point #(-2 ,-2 ), how far will its centroid move?

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