SOLUTION: Find the distance between A and B, where A and B have the following coordinates: A(�3, 5); B(5, �8). Show your work by using the notation sqrt( ) for square root.

Question 323224: Find the distance between A and B, where A and B have the following coordinates:
A(�3, 5); B(5, �8). Show your work by using the notation sqrt( ) for square root.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Note:

is the first point

. So this means that and .
Also,

is the second point

. So this means that and .

Start with the distance formula.

Plug in , , , and .

Subtract from to get .

Subtract from to get .

Square to get .

Square to get .

Add to to get .

So our answer is

Which approximates to (using a calculator)

So the distance between the two points A and B is exactly units.

and the approximate distance between the two points A and B is about 15.264 units.

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