SOLUTION: Larry's home has coordinates L(75,30). Moe's home has coordinates M(42,-58. Curley's home has coordinates (-54, 18). Does Moe live closer to Larry or Curley?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Larry's home has coordinates L(75,30). Moe's home has coordinates M(42,-58. Curley's home has coordinates (-54, 18). Does Moe live closer to Larry or Curley?       Log On

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Question 782725: Larry's home has coordinates L(75,30). Moe's home has coordinates M(42,-58. Curley's home has coordinates (-54, 18). Does Moe live closer to Larry or Curley?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Larry's home has coordinates L(75,30). Moe's home has coordinates M(42,-58. Curley's home has coordinates (-54, 18). Does Moe live closer to Larry or Curley?
larry = L
Moe = M
Curley = C
find d(L,M)
d(M,C)
d(L,c)

d(L,M)
Distance between two points
x1 y1 x2 y2

75 30 42 -58
d= sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29
d= sqrt%28%28%09%09-58%09-%0930%09%29%5E2%09%2B%09%28%0942%09-%0975%09%29%5E2%09%29
d= sqrt%28%28%09%09-88%09%29%5E2%09%2B%09%28%09-33%09%29%5E2%09%29
d= sqrt%28%28%09%098833%09%29++%09%29
d= 93.98
-----------
d(M,C)
Distance between two points
x1 y1 x2 y2

-54 18 42 -58
d= sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29
d= sqrt%28%28%09%09-58%09-%0918%09%29%5E2%09%2B%09%28%0942%09-%09-54%09%29%5E2%09%29
d= sqrt%28%28%09%09-76%09%29%5E2%09%2B%09%28%0996%09%29%5E2%09%29
d= sqrt%28%28%09%0914992%09%29++%09%29
d= 122.44
----------------
d(L,C)
Distance between two points
x1 y1 x2 y2

-54 18 75 30
d= sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29
d= sqrt%28%28%09%0930%09-%0918%09%29%5E2%09%2B%09%28%0975%09-%09-54%09%29%5E2%09%29
d= sqrt%28%28%09%0912%09%29%5E2%09%2B%09%28%09129%09%29%5E2%09%29
d= sqrt%28%28%09%0916785%09%29++%09%29
d= 129.56
now you can decide who lives closer to whom