Completing the squares, the correct statements regarding the equation of the circle are given by:
- The radius of the circle is 3 units
- The center of the circle lies on the x-axis.
- The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
<h3>What is the equation of a circle?</h3>
The equation of a circle of center and radius r is given by:
In this problem, the equation is given by:
x² + y² - 2x - 8 = 0.
Completing the squares:
(x - 1)² + y² = 8 + 1²
(x - 1)² + y² = 9.
Hence the center is (1,0), the radius is 3, and the correct statements are:
- The radius of the circle is 3 units
- The center of the circle lies on the x-axis.
- The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
More can be learned about the equation of a circle at brainly.com/question/24307696
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Answer:
B
D
A
Step-by-step explanation:
Given:
A.
B.
C.
D.
Now, let us evaluate the given expressions one by one.
It is equation B.
So, is equivalent to B.
It is equation D.
So, is equivalent to D.
It is equation A.
So, is equivalent to A.
So, answer is:
B
D
A
Answer:
C
Step-by-step explanation: