Determining whether a point lies on a circle
a circle centered at the origin contains the point
(0, -9). does (8,717) also lie on the circle? explain.
eeo
18
no, the distance from the center to the point
(8, 17) is not the same as the radius,
no, the radius of 10 units is different from the
distance from the center to the point
(8,717)
-6
yes, the distance from the origin to the point
(8,717) is 9 units.
yes, the distance from the point (0-9) to the point
(8, 17) is 9 units,
done
!

No

Step-by-step explanation:

If the center is at (0, 0) and if (0, -9) lies on the circle, then the radius must be 9.

In this case, the equation of this circle is

x^2 + y^2 = r^2 = 9^2.

Does (8, 717) satisfy this equation?  No.  717^2 would be far outside of the circle.  the distance from the center to the point  (8, 17) is not the same as the radius

the line of

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.