# What is the distance between #(-4,-2,12)# and #(-4,3,-12)#?

The Pythagorean Theorem gives the squared distance as the sum of squares of the difference of each coordinate:

There's not really another way to check it other than to do it again. Oh yeah, we could have someone else do it. My go-to expert is Wolfram Alpha. Alpha's even kind enough to work out the approximation and draw a picture. It really is an amazing gift to the world.

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The distance between (-4,-2,12) and (-4,3,-12) is 30 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.

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