SOLUTION: A map is placed on a coordinate grid. Cincinnati located at (5,4) and San Diego is located at (-10, -3). How far apart is Cincinnati from San Diego on the map? Round your answer to

Algebra ->  Pythagorean-theorem -> SOLUTION: A map is placed on a coordinate grid. Cincinnati located at (5,4) and San Diego is located at (-10, -3). How far apart is Cincinnati from San Diego on the map? Round your answer to      Log On


   

Question 908050: A map is placed on a coordinate grid. Cincinnati located at (5,4) and San Diego is located at (-10, -3). How far apart is Cincinnati from San Diego on the map? Round your answer to the nearest tenth.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Distance Formula


The first point is (x1,y1). The second point is (x2,y2)


Since the first point is (5, 4), we can say (x1, y1) = (5, 4)
So x%5B1%5D+=+5, y%5B1%5D+=+4


Since the second point is (-10, -3), we can also say (x2, y2) = (-10, -3)
So x%5B2%5D+=+-10, y%5B2%5D+=+-3


Put this all together to get: x%5B1%5D+=+5, y%5B1%5D+=+4, x%5B2%5D+=+-10, and y%5B2%5D+=+-3

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Now use the distance formula to find the distance between the two points (5, 4) and (-10, -3)



d+=+sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2+%2B+%28y%5B1%5D+-+y%5B2%5D%29%5E2%29


d+=+sqrt%28%285+-+%28-10%29%29%5E2+%2B+%284+-+%28-3%29%29%5E2%29 Plug in x%5B1%5D+=+5, y%5B1%5D+=+4, x%5B2%5D+=+-10, and y%5B2%5D+=+-3


d+=+sqrt%28%285+%2B+10%29%5E2+%2B+%284+%2B+3%29%5E2%29


d+=+sqrt%28%2815%29%5E2+%2B+%287%29%5E2%29


d+=+sqrt%28225+%2B+49%29


d+=+sqrt%28274%29


d+=+16.5529453572468

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Answer:


The distance between the two points (5, 4) and (-10, -3) is exactly sqrt%28274%29 units


The approximate distance between the two points is about 16.5529453572468 units



So again,


Exact Distance: sqrt%28274%29 units


Approximate Distance: 16.5529453572468 units