SOLUTION: find the distance between (-2,-1)@(4,3) if (1,-2) is equi distance with (4,4)@(X,4) find X

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Question 760679: find the distance between (-2,-1)@(4,3)



if (1,-2) is equi distance with (4,4)@(X,4) find X

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started

For more help, see this solver: http://www.algebra.com/algebra/homework/Length-and-distance/distance-formula.solver
Solved by pluggable solver: Distance Formula


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


Since the first point is (-2, -1), we can say (x1, y1) = (-2, -1)
So x%5B1%5D+=+-2, y%5B1%5D+=+-1


Since the second point is (4, 3), we can also say (x2, y2) = (4, 3)
So x%5B2%5D+=+4, y%5B2%5D+=+3


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

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


d+=+sqrt%28%28-6%29%5E2+%2B+%28-4%29%5E2%29


d+=+sqrt%2836+%2B+16%29


d+=+sqrt%2852%29


d+=+sqrt%284%2A13%29


d+=+sqrt%284%29%2Asqrt%2813%29


d+=+2%2Asqrt%2813%29


d+=+7.21110255092798

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Answer:


The distance between the two points (-2, -1) and (4, 3) is exactly 2%2Asqrt%2813%29 units


The approximate distance between the two points is about 7.21110255092798 units



So again,


Exact Distance: 2%2Asqrt%2813%29 units


Approximate Distance: 7.21110255092798 units





For more help, see this solver: http://www.algebra.com/algebra/homework/Length-and-distance/distance-formula.solver