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.
2 answers:
Answer:
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)
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