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Sagot :
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.
What is the equation of a circle?
The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
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 https://brainly.com/question/24307696
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