**PLEASE HELP ASAP** Terri is analyzing a circle, y^2 + x^2 = 36, and a linear function g(x). Will they intersect? Yes, at positive x-coordinates or zero Yes, at negative x-coordinates or zero Yes, at negative and positive x-coordinates or zero No, they will not intersect

We analyze the linear function to find that it has equation [tex]y=x[/tex].  Drawing the line, we find that it will intersect the circle at negative and positive x-coordinates.

We can prove this by substituting [tex]y=x[/tex] into the given equation:

[tex]x^2+x^2=36[/tex]

[tex]2x^2=36[/tex]

[tex]x^2 = 18[/tex]

[tex]x = \pm 3\sqrt{2}[/tex]

Hence, [tex]x = 3\sqrt{2}[/tex] or [tex]-\sqrt{2}[/tex], so there are both positive and negative values for [tex]x[/tex].