Question

PLEASE HELP WILL GIVE MEDAL!
Christopher is analyzing a circle, y2 + x2 = 121, and a linear function g(x). Will they intersect?


y2 + x2 = 121 g(x)
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.

Answer 1

its not the 4th option

Answer 2

the circle, is 11 around the origin.

\(\normalsize \color{black}{ \bf g(x)= -2x +12}\)

Answer 3

So, what I would do...

\(\normalsize \color{black}{ \bf g(x)= -2x +12}\)
\(\normalsize \color{black}{ \bf g(6)= -2(6) +12}\)
\(\normalsize \color{black}{ \bf g(6)= -12 +12}\)
\(\normalsize \color{black}{ \bf g(6)= 0}\)

So, the g(x) has the point (6,0) and the circle has all the points within all that is 11 araound the origin, (including, (11,0) )

Answer 4

So what do you think ?

Answer 5

i think it is C! @student_basil

Answer 6

wait its just the positives right?

Answer 7

@student_basil

Answer 8

A, graph the circle and the g(x) to check please.

Answer 9

Thankyou! Tha asnwer was Yes, at positive x coordinates. :)