The equation of the circle x² +y² – 8x – 6y + 21 = 0 is equal to the equation (x + 4)² + (y − 3)² = 2². Then the correct option is C.
<h3>What is a circle?</h3>
It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is given as
x² + y² – 8x – 6y + 21 = 0
The equation can be written as
x² – 8x + 16 + y² – 6y + 9 = 4
(x + 4)² + (y − 3)² = 2²
Then the center of the circle is at (-9, 6) and the radius of the circle is 10 units.
More about the circle link is given below.
brainly.com/question/11833983
Answer:
the answer is b
Step-by-step explanation:
Answer:
D. (-1, 0) and (0, -6)
Step-by-step explanation:
The system of equations:
y = -6x - 6
y = x² - 5x - 6
We equate the two equations;
-6x - 6 = x² - 5x - 6
x² + x + 0 = 0
x² + x = 0
x(x + 1) = 0
So, x = 0 or -1
When x = 0,
Then y = -6(0) - 6 = -6
When x = -1,
Then y = -6(-1) - 6 = 6 - 6 = 0
So the answer is: (0, -6) and (-1, 0)