SOLUTION: Find the length of the segment joining (-3,4) and (1,-1), correct to two decimal places, with working out.

Algebra ->  Linear-equations -> SOLUTION: Find the length of the segment joining (-3,4) and (1,-1), correct to two decimal places, with working out.      Log On


   

Question 757797: Find the length of the segment joining (-3,4) and (1,-1), correct to two decimal places, with working out.
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, 4), we can say (x1, y1) = (-3, 4)
So x%5B1%5D+=+-3, y%5B1%5D+=+4


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


Put this all together to get: x%5B1%5D+=+-3, y%5B1%5D+=+4, x%5B2%5D+=+1, and y%5B2%5D+=+-1

--------------------------------------------------------------------------------------------


Now use the distance formula to find the distance between the two points (-3, 4) and (1, -1)



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+-+%281%29%29%5E2+%2B+%284+-+%28-1%29%29%5E2%29 Plug in x%5B1%5D+=+-3, y%5B1%5D+=+4, x%5B2%5D+=+1, and y%5B2%5D+=+-1


d+=+sqrt%28%28-3+-+1%29%5E2+%2B+%284+%2B+1%29%5E2%29


d+=+sqrt%28%28-4%29%5E2+%2B+%285%29%5E2%29


d+=+sqrt%2816+%2B+25%29


d+=+sqrt%2841%29


d+=+6.40312423743285

==========================================================

Answer:


The distance between the two points (-3, 4) and (1, -1) is exactly sqrt%2841%29 units


The approximate distance between the two points is about 6.40312423743285 units



So again,


Exact Distance: sqrt%2841%29 units


Approximate Distance: 6.40312423743285 units