If the center of an ellipse is ​(3,-4), the major axis is parallel to the​ x-axis, and the distance from the center of the ellipse to its vertices is a=5 ​units, then the coordinates of the vertices are​ _______ and​ _______.

Respuesta :

Considering the characteristics of the elipse given, the coordinates of the vertices are: (-2, -4) and (8, -4).

Where are the vertices of an elipse?

The vertices of an elipse are both points distant a units from the center, parallel to the major axis.

In this problem, the center is at (3,-4), and, considering that the major axis is parallel to the​ x-axis, the coordinates of the vertices are given as follows:

  • (3 - 5, -4) = (-2,-4).
  • (3 + 5, -4) = (8,-4).

More can be learned about the vertices of an elipse at https://brainly.com/question/19507943

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