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marusya05 [52]
2 years ago
6

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.

Mathematics
1 answer:
Alla [95]2 years ago
8 0

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.

<h3>What is the equation of a circle?</h3>

The equation of a circle of center (x_0, y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

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(y_0 = 0).
  • 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 brainly.com/question/24307696

#SPJ1

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