SOLUTION: Name a point that Square Root (2) units away from (2,7). I don't know where to start. I would appreciate the help. Thank you!

Algebra ->  Length-and-distance -> SOLUTION: Name a point that Square Root (2) units away from (2,7). I don't know where to start. I would appreciate the help. Thank you!      Log On


   

Question 878372: Name a point that Square Root (2) units away from (2,7). I don't know where to start. I would appreciate the help. Thank you!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You can add or subtract sqrt%282%29 to the x value of 2 while keeping the y value at 7.
You can add or subtract sqrt%282%29 to the y value of 7 while keeping the x value at 2.
(2%2Bsqrt%282%29,7)
(2-sqrt%282%29,7)
(2,7%2Bsqrt%282%29)
(2,7-sqrt%282%29)
.
.
.
In general, any point on the circle centered at (2,7) with a radius of sqrt%282%29 will also satisfy the condition.
%28x-2%29%5E2%2B%28y-7%29%5E2=2