|
Question 698439: Name two points on the x-axis that are 10 units from (1, 8)
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Equation of the circle centered at (1,8) that has a radius of 10: (x-1)^2 + (y-8)^2 = 100
You plug in y = 0 and solve for x
(x-1)^2 + (y-8)^2 = 100
(x-1)^2 + (0-8)^2 = 100
(x-1)^2 + (-8)^2 = 100
(x-1)^2 + 64 = 100
(x-1)^2 = 100-64
(x-1)^2 = 36
x-1 = sqrt(36) or x-1 = -sqrt(36)
x-1 = 6 or x-1 = -6
x = 6+1 or x = -6+1
x = 7 or x = -5
So the two points are (7, 0) and (-5, 0)
|
|
|
| |
