Answered

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Which of the equations below represents
this ellipse?

a. x^2/4+y^2/20=1
b. x^2/2+y^2/10=1
c. x^2/100+y^2/4=1
d. x^2/4+y^2/100=1

Which Of The Equations Below Represents This Ellipse A X24y2201 B X22y2101 C X2100y241 D X24y21001 class=

Sagot :

xero099

The equation that represents the graph of the ellipse is x² / 4 + y² / 100 = 1. (Correct choice: D)

What is the equation of the ellipse represented in the graph?

Herein we have a representation of an ellipse in the image attached aside, ellipses are characterized by the following standard formula:

(x - h)² / a² + (y - k)² / b² = 1     (1)

Where:

  • (h, k) - Coordinates of the center
  • a, b - Lengths of the semiaxes

Please notice that ellipse will be vertical if b > a, otherwise it will be horizontal. The graph exhibits a vertical ellipse centered at the origin and therefore we conclude that (h, k) = (0, 0) and b > a (b = 10, a = 2). Finally, the equation that represents the graph of the ellipse is x² / 4 + y² / 100 = 1. (Correct choice: D)

To learn more on ellipses: https://brainly.com/question/14281133

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