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A circle in the coordinate plane has a diameter with endpoints M(-2, -3) and R(7,9). Calculate the center of the circle by partitioning segment MR into a 1:1 ratio (or finding the midpoint). Round your solution to the nearest tenth of the exact value (one decimal place).

Respuesta :

Using the midpoint concept, the center of the circle is given by (2.5, 3).

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  • The coordinates of the midpoint of a segment are the mean of the coordinates of the endpoints.
  • In a circle, the center is the midpoint between the endpoints of the diameter.

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  • The coordinates of the endpoints are: (-2,-3) and (7,9).
  • The x-coordinate of the center is:

[tex]x = \frac{-2 + 7}{2} = \frac{5}{2} = 2.5[/tex]

  • The y-coordinate of the center is:

[tex]y = \frac{-3 + 9}{2} = \frac{6}{2} = 3[/tex]

The center of the circle is (2.5, 3).

A similar problem is given at https://brainly.com/question/24352869

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