SOLUTION: What is the distance between points (0,50) and (-30,0)?

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Question 117412This question is from textbook
: What is the distance between points (0,50) and (-30,0)? This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given distance formula
d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29 where is the first point and is the second point

d=sqrt%28%280--30%29%5E2%2B%2850-0%29%5E2%29 Plug in x%5B1%5D=0, x%5B2%5D=-30, y%5B1%5D=50, y%5B2%5D=0

d=sqrt%28%2830%29%5E2%2B%2850%29%5E2%29 Evaluate 0--30 to get 30. Evaluate 50-0 to get 50.

d=sqrt%28900%2B2500%29 Square each value

d=sqrt%283400%29 Add

d=10%2Asqrt%2834%29 Simplify the square root (note: If you need help with simplifying the square root, check out this solver)


So the distance approximates to

d=58.309518948453

which rounds to
58.31

So the distance between (0,50) and (-30,0) is approximately 58.31 units