SomeBrainlyKid SomeBrainlyKid
  • 23-04-2022
  • Mathematics
contestada

The graph of r = -10 cos θ has which of the following characteristics?

Answer choices are listed below.

The graph of r 10 cos θ has which of the following characteristics Answer choices are listed below class=

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algebraic12 algebraic12
  • 23-04-2022

Step-by-step explanation:

If we convert

[tex]r = - 10 \cos(x) [/tex]

to a Cartesian equation,

[tex] {r}^{2} = - 10 r \: \cos(x) [/tex]

[tex] {x}^{2} + {y}^{2} = - 10x[/tex]

[tex] {x}^{2} + 10x + {y}^{2} = 0[/tex]

[tex] {x}^{2} + 10x + 25 + {y}^{2} = 25[/tex]

[tex](x + 5) {}^{2} + {y}^{2} = 25[/tex]

So we have a circle with center (-5,0), with a diameter of 10.

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