SOLUTION: a grid shows positions of a subway and your house. the subway stop is located at (7, -6) and your house is located at (-9,5) what is the distance, to the nearest unit, between you

Algebra ->  Algebra  -> Length-and-distance -> SOLUTION: a grid shows positions of a subway and your house. the subway stop is located at (7, -6) and your house is located at (-9,5) what is the distance, to the nearest unit, between you      Log On

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Question 187221: a grid shows positions of a subway and your house. the subway stop is located at (7, -6) and your house is located at (-9,5) what is the distance, to the nearest unit, between your house and subway stop?
Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!


We'll see the house (-9,5)and the subway stop (7,-6) with points as per given:
drawing%28400%2C400%2C-10%2C10%2C-10%2C10%2Cgraph%28400%2C400%2C-10%2C10%2C-10%2C10%29%2Cblue%28circle%28-9%2C5%2C.15%29%29%2Ccircle%287%2C-6%2C.15%29%2Cred%28locate%28-8.5%2C5.5%2Chouse%29%29%2Cred%28locate%286.5%2C-6%2Csubway%29%29%2Cgreen%28line%28-9%2C5%2C7%2C-6%29%29%29--->drawing%28400%2C400%2C-10%2C10%2C-10%2C10%2Cgraph%28400%2C400%2C-10%2C10%2C-10%2C10%29%2Cblue%28circle%28-9%2C5%2C.15%29%29%2Ccircle%287%2C-6%2C.15%29%2Cred%28locate%28-8.5%2C5.5%2Chouse%29%29%2Cred%28locate%286.5%2C-6%2Csubway%29%29%2Cgreen%28line%28-9%2C5%2C7%2C-6%29%29%2Cline%287%2C-6%2C-9%2C-6%29%2Cline%28-9%2C-6%2C-9%2C5%29%2Cgreen%28locate%28-8.8%2C-1.5%2Cy%5B2%5D-y%5B1%5D%29%29%2Cgreen%28locate%28-4.5%2C-4.5%2Cx%5B2%5D-x%5B1%5D%29%29%29
Similar to Pyth.Theorem, the Distance Formula will be:
D%5E2=%28y%5B2%5D-y%5B1%5D%29%5E2%2B%28x%5B2%5D-x%5B1%5D%29%5E2
D%5E2=%28-6-5%29%5E2%2B%287-%28-9%29%29%5E2=%28-11%29%5E2%2B%2816%29%5E2=121%2B256=377
D=sqrt%28377%29=highlight%2819.4%29, Answer
Thank you,
Jojo