tstillenspdriti tstillenspdriti
  • 21-08-2018
  • Mathematics
contestada

Identify the following equation as that of a line, a circle, an ellipse, a parabola, or a hyperbola. x 2 + y 2 = 16

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Аноним Аноним
  • 21-08-2018

this is a circle with the centre at the origin and radius 4.

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lisboa lisboa
  • 19-07-2019

Answer:

Equation is a Circle

Step-by-step explanation:

[tex]x^2+y^2=16[/tex]

16 is 4 times 4 = 4^2

The given equation can be written as

[tex](x-0)^2 + (y-0)^2 = 4^2[/tex]

The above equation is in the form of [tex](x-h)^2 + (y-k)^2= r^2[/tex] that is the equation of a circle .

[tex]x^2+y^2=16[/tex] is the equation of a circle with center(0,0) and radius = 4

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