SOLUTION: Find the points on the line whose equation is y=10 which are 15 units away from (1,0)

Algebra ->  Angles -> SOLUTION: Find the points on the line whose equation is y=10 which are 15 units away from (1,0)      Log On


   

Question 179973: Find the points on the line whose equation is y=10 which are 15 units away from (1,0)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the distance formula,
D=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29
15%5E2=%281-x%5B2%5D%29%5E2%2B%280-10%29%5E2
225=%281-x%5B2%5D%29%5E2%2B100
%281-x%5B2%5D%29%5E2=125
%281-x%5B2%5D%29=0+%2B-+sqrt%28125%29
x%5B2%5D=1+%2B-+5%2Asqrt%285%29
or approximately,
x%5B2%5D=1+%2B-+11.2
x%5B2%5D=12.2 and
x%5B2%5D=-10.2
.
.
.
The green line is y=10.
.
.
.

The two points that are 15 units from (1,0) and lie on y=10 are (12.2,10) and (-10.2,10).