5. A planetary model shows the circular orbit of a planet around a star in a coordinate plane. The plane is observed passing through the coordinates (2, 7), (12, -3), and (2, -13), which form the vertices of a right triangle. What is the equation of the circle that describes the orbital path of the planet? A. (x+2)² + (y - 3)² = 8² B. (x + 2)² + (y - 3)² = 10² (x-2)² + (y + 3)² = 10 C. D. (x-2)² + (y + 3)² = 10² E. (x + 2)² + (y - 3)² = 8

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 46E
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5. A planetary model shows the circular orbit of a
planet around a star in a coordinate plane. The
plane is observed passing through the coordinates
(2,7), (12, -3), and (2, -13), which form the
vertices of a right triangle.
What is the equation of the circle that describes
the orbital path of the planet?
A. (x + 2)² + (y - 3)² = 8²
B. (x + 2)² + (y - 3)² = 10²
C.
(x-2)² + (y + 3)² = 10
D. (x-2)² + (y + 3)² = 10²
E. (x + 2)² + (y - 3)² = 8
Transcribed Image Text:5. A planetary model shows the circular orbit of a planet around a star in a coordinate plane. The plane is observed passing through the coordinates (2,7), (12, -3), and (2, -13), which form the vertices of a right triangle. What is the equation of the circle that describes the orbital path of the planet? A. (x + 2)² + (y - 3)² = 8² B. (x + 2)² + (y - 3)² = 10² C. (x-2)² + (y + 3)² = 10 D. (x-2)² + (y + 3)² = 10² E. (x + 2)² + (y - 3)² = 8
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