SOLUTION: find distance between P and Q P( 4,9); Q(9, 21) P(6,-3); Q(-3, 2)

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Question 322840: find distance between P and Q
P( 4,9); Q(9, 21)
P(6,-3); Q(-3, 2)

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
I'll do the first one to get you started.

# 1

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 .


Take the square root of to get .


So our answer is


So the distance between the two points P and Q is 13 units.

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