Question

Barbie is analyzing a circle, y2 + x2 = 16, and a linear function g(x). Will they intersect?


y2 + x2 = 16 g(x)
graph of the function y squared plus x squared equals 16
x g(x)
0 6
1 3
2 0
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
@Hero @SolomonZelman can u guys plz help me out?

Answer 1

Here's the graph of it:

https://www.desmos.com/calculator/rxtaht9qyw

Answer 2

So what do you think the answer is?

Answer 3

A? @iGreen.

Answer 4

can you write the equation for the linear equation?

Answer 5

\[m=\frac{y_2-y_1}{x_2-x_1}\]
y=mx+b
then you can find b
by using one of the points in the give table for g

Answer 6

is the answer A? @freckles

Answer 7

Can you tell me what you get for m and b for the linear equation...
once we find that
we will will replace y in the other equation
so we would have something like (mx+b)^2+x^2=16 and then solve for x
but we need m and b...

Answer 8

@SolomonZelman can u plz tell me if its A or not?

Answer 9

is it A? @freckles

Answer 10

@sourwing can u plz tell me if A is the right answer?