Christopher is analyzing a circle, y2 + x2 = 121, and a linear function g(x). Will they intersect?

y2 + x2 = 121

g(x)

graph of the function y squared plus x squared equals 121
x g(x)
−1 14
0 12
1 10
Yes, at positive x coordinates

Yes, at negative x coordinates

Yes, at negative and positive x coordinates

No, they will not intersect

Question

Christopher is analyzing a circle, y2 + x2 = 121, and a linear function g(x). Will they intersect?


y2 + x2 = 121

g(x)

graph of the function y squared plus x squared equals 121	
x	g(x)
−1	14
0	12
1	10
 Yes, at positive x coordinates

 Yes, at negative x coordinates

 Yes, at negative and positive x coordinates

 No, they will not intersect

anonymous · Answer

attachment

imstuck · Answer

Do you have any idea where to start on this?

imstuck · Answer

The first one, the circle, has a center of (0,0) and a radius of 11.  Did you get that much?

imstuck · Answer

Ok, the image you posted is of the circle.  That's good.  Now let's graph the line using the coordinates from your table.  ok?

imstuck · Answer

|dw:1408571980002:dw|

imstuck · Answer

The line does go through the circle, so let's find out where.

anonymous · Answer

ok

imstuck · Answer

Working on it...hold on a sec, ok?

anonymous · Answer

sure

imstuck · Answer

Oh...I was trying to find the exact coordinates and apparently you don't need those!  Here's your graph again...

imstuck · Answer

|dw:1408572334417:dw|