SOLUTION: Name two points on the x-axis that are 10 units from (1, 8)

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)

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