SOLUTION: Solution for the point on the x-axis that is equal distance from (8,4) and (-4,2) Solution for the distance between the points (8,2) and (16,2). Solution for the distance bet

Algebra ->  Linear-equations -> SOLUTION: Solution for the point on the x-axis that is equal distance from (8,4) and (-4,2) Solution for the distance between the points (8,2) and (16,2). Solution for the distance bet      Log On


   



Question 317610: Solution for the point on the x-axis that is equal distance from (8,4) and (-4,2)
Solution for the distance between the points (8,2) and (16,2).
Solution for the distance between the points (2,6) and (12,8).
Solution for the midpoint between (8,2) and (10,6)
Solution for the midpoint between (-4,2) and (-5,3)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For the distance problems, use the distance formula,
D%5E2=%28x1-x2%29%5E2%2B%28y1-y2%29%5E2
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For the midpoint problems, use the midpoint formula,
xm=%28x1%2Bx2%29%2F2
ym=%28y1%2By2%29%2F2
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Solution for the point on the x-axis that is equal distance from (8,4) and (-4,2)
A point on the x-axis has the form, (x,0).
D1%5E2=%28x-8%29%5E2%2B%284-0%29%5E2
D2%5E2=%28x%2B4%29%5E2%2B%282-0%29%5E2
If they're equidistant, +D1=D2, D1%5E2=D2%5E2
%28x-8%29%5E2%2B%284%29%5E2=%28x%2B4%29%5E2%2B%282%29%5E2
x%5E2-16x%2B64%2B16=x%5E2%2B8x%2B16%2B4
x%5E2-16x%2B80=x%5E2%2B8x%2B20
-24x=-60
x=60%2F24=5%2F2
highlight%28x=5%2F2%29
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Solution for the distance between the points (8,2) and (16,2)= +8+
Solution for the distance between the points (2,6) and (12,8)=2sqrt%2826%29
Solution for the midpoint between (8,2) and (10,6) =(9,4)
Solution for the midpoint between (-4,2) and (-5,3)=(-4.5,2%2C5)