# From a point #A# directly above (i.e. north of) point #B# in a map, a point #C# to the east of #B# is #6# miles. If #B# and #C# are #2# miles apart, what is the distant between #A# and #B#?

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The distance between points A and B is 4 miles.

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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.

- Circle A has a center at #(1 ,3 )# and an area of #32 pi#. Circle B has a center at #(2 ,7 )# and an area of #28 pi#. Do the circles overlap?
- A triangle has corners at #(6 ,6 )#, #(7 ,4 )#, and #(5 ,2 )#. How far is the triangle's centroid from the origin?
- A line passes through #(2 ,3 )# and #( 6, 2 )#. A second line passes through #( 7, 4 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- A triangle has corners at #(9 ,3 )#, #(4 ,4 )#, and #(3 ,1 )#. How far is the triangle's centroid from the origin?
- What is the an equation of the line that goes through (−1, −3) and is perpendicular to the line #2x + 7y + 5 = 0#?

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