# A line segment has endpoints at #(4 ,7 )# and #(2 ,5 )#. The line segment is dilated by a factor of #4 # around #(3 ,3 )#. What are the new endpoints and length of the line segment?

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The new endpoints of the line segment after dilation are (10, 13) and (2, -1). The length of the line segment remains the same after dilation, which is 2√2 units.

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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 line segment has endpoints at #(5 ,8 )# and #(2 , 1)#. The line segment is dilated by a factor of #3 # around #(6 , 4)#. What are the new endpoints and length of the line segment?
- A line segment has endpoints at #(5 ,6 )# and #(7 , 3)#. The line segment is dilated by a factor of #2 # around #(4 , 2)#. What are the new endpoints and length of the line segment?
- How do you graph the line #y = -1/3x - 7#?
- Point A is at #(-1 ,-3 )# and point B is at #(-5 ,4 )#. 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?
- A triangle has corners at #(1, 3 )#, ( 2, -4)#, and #(8, -5 )#. If the triangle is reflected across the x-axis, what will its new centroid be?

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