Question

Terri is analyzing a circle, y2 + x2 = 36, and a linear function g(x). Will they intersect?


y2 + x2 = 36 g(x)
graph of the function y squared plus x squared equals 36
x g(x)
-4 -4
-2 -2
2 2
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.

Answer 1

help please?

Answer 2

I have the graph if you want it

Answer 3

i'M CONFUSED

Answer 4

this line cuts the circle at two points denoted by cross.

Answer 5

okay

Answer 6

What would the answer be?

Answer 7

what do you think?

Answer 8

I think c

Answer 9

correct but they do not intersect at zero.

Answer 10

Thank you

Answer 11

so

Answer 12

Can you explain why its c please?

Answer 13

if we denote g(x) by y
then we see y=x

\[x^2+y^2=36,x^2+x^2=36,2x^2=36,x^2=\frac{ 36 }{ 2 }=18,x=3\sqrt{2},x=-3\sqrt{2}\]
so it cuts both at negative and positive co-ordinate.