Respuesta :
Considering the given equation of the circle, the true statements are given as follows:
- The radius of the circle is of 3 units.
- The center of the circle lies on the x-axis.
- The circle has the same radius as the circle with equation 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]
The equation given is:
x2 + y² - 2x - 8 = 0.
Completing the squares, the equation is given as follows:
(x - 1)² + y² = 8 + 1
(x - 1)² + y² = 9.
Researching the problem on the internet, the true statements are:
- The radius of the circle is of 3 units.
- The center of the circle lies on the x-axis([tex]y_0 = 0[/tex]).
- The circle has the same radius as the circle with equation x² + y² = 9.
More can be learned about the equation of a circle at https://brainly.com/question/24307696
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