chloeeeethh chloeeeethh
  • 10-03-2020
  • Mathematics
contestada

Identify the following equation as that of a line, a circle, an ellipse, a parabola, or a hyperbola.
4x2 +9y2 = 36

Respuesta :

frika
frika frika
  • 17-03-2020

Answer:

Ellipse

Step-by-step explanation:

Given the equation

[tex]4x^2 +9y^2 =36[/tex]

Divide this equation by 36:

[tex]\dfrac{4x^2}{36}+\dfrac{9y^2}{36}=\dfrac{36}{36}\\ \\ \\\dfrac{x^2}{9}+\dfrac{y^2}{4}=1[/tex]

The equation of the form

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]

represents an ellipse, so given equation is the equation of the ellipse.

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