SOLUTION: Find the didtance between 4,4 and -1,-4

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Question 769304: Find the didtance between 4,4 and
-1,-4
Answer by MathLover1(20849) 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 (4, 4), we can say (x1, y1) = (4, 4)
So x%5B1%5D+=+4, y%5B1%5D+=+4


Since the second point is (-1, -4), we can also say (x2, y2) = (-1, -4)
So x%5B2%5D+=+-1, y%5B2%5D+=+-4


Put this all together to get: x%5B1%5D+=+4, y%5B1%5D+=+4, x%5B2%5D+=+-1, and y%5B2%5D+=+-4

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Now use the distance formula to find the distance between the two points (4, 4) and (-1, -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%284+-+%28-1%29%29%5E2+%2B+%284+-+%28-4%29%29%5E2%29 Plug in x%5B1%5D+=+4, y%5B1%5D+=+4, x%5B2%5D+=+-1, and y%5B2%5D+=+-4


d+=+sqrt%28%284+%2B+1%29%5E2+%2B+%284+%2B+4%29%5E2%29


d+=+sqrt%28%285%29%5E2+%2B+%288%29%5E2%29


d+=+sqrt%2825+%2B+64%29


d+=+sqrt%2889%29


d+=+9.4339811320566

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Answer:


The distance between the two points (4, 4) and (-1, -4) is exactly sqrt%2889%29 units


The approximate distance between the two points is about 9.4339811320566 units



So again,


Exact Distance: sqrt%2889%29 units


Approximate Distance: 9.4339811320566 units