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The equation represents an ellipse. What are the vertices of the ellipse? (6, –3) and (6, –11) (6, –5) and (6, –9) (10, –7) and (2, –7) (8, –7) and (4, –7)

Respuesta :

4502002

Answer:

C. (10, –7) and (2, –7)

Step-by-step explanation: im retty sure im right!!

The vertices of the ellipse are (10, -7) and (2, -7) option third " (10, –7) and (2, –7)" is correct.

What is an ellipse?

An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.

The complete question is:

The equation (x-6)²/16 + (y+7)²/4 = 1 represents an ellipse. What are the vertices of the ellipse?

  • A.) (6, –3) and (6, –11)
  • B.) 6, –5) and (6, –9)
  • C.) (10, –7) and (2, –7)
  • D.)(8, –7) and (4, –7)

[tex]\rm \dfrac{\left(x-6\right)^2}{16}\:+\:\dfrac{\left(y+7\right)}{4}^2\:=\:1[/tex]

a = 4

b = 2

The vertices of the ellipse are (h±a, k)

h = 6, k = -7

The vertices of the ellipse are (6±4, -7)

The vertices of the ellipse are (10, -7) and (2, -7)

Thus, the vertices of the ellipse are (10, -7) and (2, -7) option third " (10, –7) and (2, –7)" is correct.

Learn more about the ellipse here:

https://brainly.com/question/19507943

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