Does the equation x2 - 6x + y2 - 6y = -9 intersect the y-axis? A) Yes, it intersects the y-axis at (0, 3). B) Yes, it intersects the y-axis at (3, 0). C) No, because the circle is entirely in the first quadrant. D) No, because the center is a (3, 3) and the radius is 9.

The answer to your question is letter A

Step-by-step explanation:

Data

             x² -  6x + y² - 6y = -9

Process

1.- Find the center

            x² - 6x + (  )²  + y² - 6y + (  )² = -9

            x² - 6x + (3)² + y² - 6y + (3)² = -9 + 9 + 9

            (x - 3)² + (y - 3)² = 9

Center = (3, 3)

radius = 3

See the graph below

2.- From the previous information and the graph, we conclude that the equation intercepts the y-axis in (0,3)

54.864 meters

step-by-step explanation: