A triangle has corners at #(1, 2 )#, #( 2, 3 )#, and #( 1 , 5 )#. If the triangle is dilated by # 4 x# around #(3, 1)#, what will the new coordinates of its corners be?
The new coordinates are
Let the corners of the triangle be
Let the corners of the triangle be
So,
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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.
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 line segment has endpoints at #(8 ,5 )# and #(2 ,1 )#. If the line segment is rotated about the origin by # pi #, translated horizontally by # - 1 #, and reflected about the y-axis, what will the line segment's new endpoints be?
- Circle A has a radius of #2 # and a center of #(1 ,7 )#. Circle B has a radius of #6 # and a center of #(8 ,1 )#. If circle B is translated by #<-4 ,3 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?
- A line segment goes from #(3 ,4 )# to #(5 ,1 )#. The line segment is dilated about #(1 ,0 )# by a factor of #2#. Then the line segment is reflected across the lines #x=-2# and #y=2#, in that order. How far are the new endpoints from the origin?
- A line segment has endpoints at #(7 ,6 )# and #(9 ,2 )#. The line segment is dilated by a factor of #4 # around #(4 ,3 )#. What are the new endpoints and length of the line segment?
- The coordinates of triangle PRS are P(-3, 2), R(2,5), and S(0, 0). What are the coordinates after a 270 degree rotation?
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