SOLUTION: Andy is going to get some lunch with Aunt B. They are going to meet at the Lunch Palace which is exactly halfway between their two homes. How far will Aunt B have to travel to me

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Question 903038: Andy is going to get some lunch with Aunt B. They are going to meet at the Lunch Palace which is exactly halfway between their two homes. How far will Aunt B have to travel to meet Andy for lunch if Andy is at (-5, 8) and Aunt B is at (12, -4)?
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, 8), we can say (x1, y1) = (-5, 8)
So x%5B1%5D+=+-5, y%5B1%5D+=+8


Since the second point is (12, -4), we can also say (x2, y2) = (12, -4)
So x%5B2%5D+=+12, y%5B2%5D+=+-4


Put this all together to get: x%5B1%5D+=+-5, y%5B1%5D+=+8, x%5B2%5D+=+12, and y%5B2%5D+=+-4

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Now use the distance formula to find the distance between the two points (-5, 8) and (12, -4)



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


d+=+sqrt%28%28-5+-+%2812%29%29%5E2+%2B+%288+-+%28-4%29%29%5E2%29 Plug in x%5B1%5D+=+-5, y%5B1%5D+=+8, x%5B2%5D+=+12, and y%5B2%5D+=+-4


d+=+sqrt%28%28-5+-+12%29%5E2+%2B+%288+%2B+4%29%5E2%29


d+=+sqrt%28%28-17%29%5E2+%2B+%2812%29%5E2%29


d+=+sqrt%28289+%2B+144%29


d+=+sqrt%28433%29


d+=+20.8086520466848

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Answer:


The distance between the two points (-5, 8) and (12, -4) is exactly sqrt%28433%29 units


The approximate distance between the two points is about 20.8086520466848 units



So again,


Exact Distance: sqrt%28433%29 units


Approximate Distance: 20.8086520466848 units