SOLUTION: what is the distance from (-3,-5) to (-5,5)

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Question 880233: what is the distance from (-3,-5) to (-5,5)
Answer by jim_thompson5910(35256) 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 (-3, -5), we can say (x1, y1) = (-3, -5)
So x%5B1%5D+=+-3, y%5B1%5D+=+-5


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


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

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



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


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


d+=+sqrt%28%28-3+%2B+5%29%5E2+%2B+%28-5+-+5%29%5E2%29


d+=+sqrt%28%282%29%5E2+%2B+%28-10%29%5E2%29


d+=+sqrt%284+%2B+100%29


d+=+sqrt%28104%29


d+=+sqrt%284%2A26%29


d+=+sqrt%284%29%2Asqrt%2826%29


d+=+2%2Asqrt%2826%29


d+=+10.1980390271856

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Answer:


The distance between the two points (-3, -5) and (-5, 5) is exactly 2%2Asqrt%2826%29 units


The approximate distance between the two points is about 10.1980390271856 units



So again,


Exact Distance: 2%2Asqrt%2826%29 units


Approximate Distance: 10.1980390271856 units