SOLUTION: what is the total number of points of intersection in the graphs of the equations x2+y2=16 and y=3?

Question 252878: what is the total number of points of intersection in the graphs of the equations x2+y2=16 and y=3?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the graphs of these two equations is shown below:

looks like there are 2 points of intersection.

you could solve for these by taking the equation of x^2 + y^2 = 16 and substituting 3 for y and then solving for x.

x^2 + y^2 = 16 becomes:

x^2 + (3)^2 = 16 becomes:

x^2 + 9 = 16 becomes:

x^2 = 16-9 = 7 becomes:

x = +/- sqrt(7) which is roughly 2.65 (more accurately shown as 2.645751311).

you can see on the graph that y = 3 intersection points roughly correspond to x = +/- 2.65.

RELATED QUESTIONS
What point is the intersection of the graphs of x2 + y2 = 34 and x2 -4y = 13? (answered by ewatrrr)

What point is the intersection of the graphs of x2 - y2 = 5 and 2x2 + y2 = 22? (answered by Alan3354)

what is the total number of points of intersection of teh graphs of teh equations... (answered by Alan3354)

Find the points of intersection of the graphs of the equations. [separate your answers... (answered by RAY100)

) Find the intersection points of the graphs of the given equations : 6x � y = 2 and... (answered by stanbon)

use substitution to find all points of intersection of the graphs of x-y=2 and... (answered by sofiyac)

Find the points of intersection of the graphs of the equations. [separate your answers... (answered by RAY100)

Find the number of points of intersection between the graphs of the following equations:... (answered by CPhill)

What is the intersection point of the graphs of y=72+1.25x and... (answered by richwmiller)