Question

a circle centered at the origin contains the point (0,-9). does (8, square root 17) also lie on the circle? explain.

Answer 1

Answer:

Yes

Step-by-step explanation:

The radius of the circle is 9. If we imagine the distance to (8,  sqrt 17) as a right triangle, where one leg is 8 and the other is square root 17, we can use the Pythagorean formula to solve this

8^2 (64) + sqrt 17^2 (17)= c^2

81=c^c

9=c

we can see that since the radius to the origin is 9, this point indeed lies on the circle.

Answer 2

Answer:

Step-by-step explanation:

Yes, the distance from the origin to the point (8, square root 17) is 9 units.