SOLUTION: Find the length of the segment. Round to the nearest tenth of a unit. J(-2,4) K(1,3)

Algebra ->  Length-and-distance -> SOLUTION: Find the length of the segment. Round to the nearest tenth of a unit. J(-2,4) K(1,3)      Log On


   

Question 775945: Find the length of the segment. Round to the nearest tenth of a unit.
J(-2,4) K(1,3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Finding the length of the segment JK is the same as finding the distance from J to K.

Solved by pluggable solver: Distance Formula


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


Since the first point is (-2, 4), we can say (x1, y1) = (-2, 4)
So x%5B1%5D+=+-2, y%5B1%5D+=+4


Since the second point is (1, 3), we can also say (x2, y2) = (1, 3)
So x%5B2%5D+=+1, y%5B2%5D+=+3


Put this all together to get: x%5B1%5D+=+-2, y%5B1%5D+=+4, x%5B2%5D+=+1, and y%5B2%5D+=+3

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Now use the distance formula to find the distance between the two points (-2, 4) and (1, 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%28-2+-+1%29%5E2+%2B+%284+-+3%29%5E2%29 Plug in x%5B1%5D+=+-2, y%5B1%5D+=+4, x%5B2%5D+=+1, and y%5B2%5D+=+3


d+=+sqrt%28%28-3%29%5E2+%2B+%281%29%5E2%29


d+=+sqrt%289+%2B+1%29


d+=+sqrt%2810%29


d+=+3.16227766016838

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Answer:


The distance between the two points (-2, 4) and (1, 3) is exactly sqrt%2810%29 units


The approximate distance between the two points is about 3.16227766016838 units



So again,


Exact Distance: sqrt%2810%29 units


Approximate Distance: 3.16227766016838 units





This means,

segment JK is exactly sqrt%2810%29 units long

segment JK is approximately 3.16227766016838 units long

Round this to the nearest tenth to get the final answer of 3.2