**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
Question
Answer:
We analyze the linear function to find that it has equation [tex]y=x[/tex].Β 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].
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