To determine the coordinates of the points that satisfy the condition of being 10 units from (1,8) on the x-axis, we can set up two equations based on the distance formula.
Let's assume the coordinates of the points are (x, 0), where y = 0 represents the x-axis.
Using the distance formula, we have:
√[(x - 1)^2 + (0 - 8)^2] = 10
Simplifying the equation, we get:
√[(x - 1)^2 + 64] = 10
Squaring both sides, we have:
(x - 1)^2 + 64 = 100
Now, you can solve this equation to find the possible x-coordinates of the points.
Based on what you just explained about determining the coordinates of points that satisfy a given condition, let's move on to a related concept