SOLUTION: the distance between the points (4,-3)and (x,3) is 10. find X i am coming up with +12 the answer should be -4, Thanks

Algebra ->  Length-and-distance -> SOLUTION: the distance between the points (4,-3)and (x,3) is 10. find X i am coming up with +12 the answer should be -4, Thanks      Log On


   

Question 98450: the distance between the points (4,-3)and (x,3) is 10. find X

i am coming up with +12 the answer should be -4,
Thanks
Found 2 solutions by mathslover, jim_thompson5910:
Answer by mathslover(157) About Me  (Show Source):
You can put this solution on YOUR website!
Use the distance formula
D = +sqrt+%28+%28x2+-x1%29%5E2+%2B+%28y2+-y1%29%5E2+%29
10 = +sqrt+%28+%28x+-4%29%5E2+%2B+%283+-%28-3%29%29%5E2+%29
square on both sides
100+=+%28x-4%29%5E2+%2B+36+
+%28x-4%29%5E2+=+100+-36
%28x-4%29%5E2+=64
x-4 = +-8
x=12 and x=-4
So your answer of 12 is also correct

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given distance formula
d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29 where is the first point and is the second point

10=sqrt%28%284-x%29%5E2%2B%28-3-3%29%5E2%29 Plug in d=10, x%5B1%5D=4, x%5B2%5D=x, y%5B1%5D=-3, y%5B2%5D=3


10=sqrt%28%284-x%29%5E2%2B%28-6%29%5E2%29 Evaluate -3-3 to get -6.


10=sqrt%28%284-x%29%5E2%2B36%29 Square -6 to get 36




100=%284-x%29%5E2%2B36 Square both sides


64=%284-x%29%5E2 Subtract 36 from both sides

8=4-x Take the square root of both sides


4=-x Subtract 4 from both sides


-4=x Multiply both sides by -1


So our answer is x=-4