SOLUTION: Use pythagorean therom to find the distance between (5,3) and(-2,-3). Can you give me a step by step of this promblem

Algebra ->  Algebra  -> Vectors -> SOLUTION: Use pythagorean therom to find the distance between (5,3) and(-2,-3). Can you give me a step by step of this promblem      Log On

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Question 214134: Use pythagorean therom to find the distance between (5,3) and(-2,-3).
Can you give me a step by step of this promblem
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29 Start with the distance formula.


d=sqrt%28%285--2%29%5E2%2B%283--3%29%5E2%29 Plug in x%5B1%5D=5, x%5B2%5D=-2, y%5B1%5D=3, and y%5B2%5D=-3.


d=sqrt%28%287%29%5E2%2B%283--3%29%5E2%29 Subtract -2 from 5 to get 7.


d=sqrt%28%287%29%5E2%2B%286%29%5E2%29 Subtract -3 from 3 to get 6.


d=sqrt%2849%2B%286%29%5E2%29 Square 7 to get 49.


d=sqrt%2849%2B36%29 Square 6 to get 36.


d=sqrt%2885%29 Add 49 to 36 to get 85.


So our answer is d=sqrt%2885%29


Which approximates to d=9.22


So the distance between the two points is approximately 9.22 units.