SOLUTION: Find the distance between each pair of points,Round to the nearest tenth,if necessary. V(-3,-4),W(-1,-2) Thank you

Algebra ->  Real-numbers -> SOLUTION: Find the distance between each pair of points,Round to the nearest tenth,if necessary. V(-3,-4),W(-1,-2) Thank you      Log On


   



Question 553144: Find the distance between each pair of points,Round to the nearest tenth,if necessary. V(-3,-4),W(-1,-2)
Thank you

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Use the distance formula


d = sqrt((x2-x1)^2+(y2-y1)^2)


Remember that the two generic points are (x1, y1) and (x2, y2)
So (x1, y1) = (-3, -4), which means x1=-3 and y1=-4
and (x2, y2) = (-1, -2), which means x2=-1 and y2=-2

So in short, x1=-3, y1=-4, x2=-1, and y2=-2.

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d = sqrt((x2-x1)^2+(y2-y1)^2)


d = sqrt((-1-(-3))^2+(-2-(-4))^2)


d = sqrt((-1+3)^2+(-2+4)^2)


d = sqrt((2)^2+(2)^2)


d = sqrt(4+4)


d = sqrt(8)


d = 2*sqrt(2)


d = 2.8284271247462



So exact distance between the two points is approximately 2.8 units.