SOLUTION: V has coordinates (11, -14) W (x, 10) what is the value of x if VW=25

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Question 695367: V has coordinates (11, -14) W (x, 10) what is the value of x if VW=25
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
The distance formula when coordinates are given
d=+sqrt%28%28x1-x2%29%5E2%2B%28y1-y2%29%5E2%29
where (x1,y1) and (x2,y2) are the co ordinates
we plug the values in the equation
d=+sqrt%28%2811-x%29%5E2%2B%28-14-10%29%5E2%29
d=+sqrt%28%28121-22x%2Bx%5E2%29%2B%28-24%29%5E2%29
25=+sqrt%28121-22x%2Bx%5E2%2B576%29
square both sides
625=121-22x%2Bx%5E2%2B576
x%5E2-22x%2B72=0
x%5E2-18x-4x-72=0
x%28x-18%29-4%28x-18%29=0
(x-18)(x-4)=0
x= 18 OR 4