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  • 01-05-2019
  • Mathematics
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Find center and radius
(x-3)^2+y^2=8

Respuesta :

gmany
gmany gmany
  • 01-05-2019

Answer:

Center: (3, 0)

Radius: 2√2

Step-by-step explanation:

The equation of a circle in standard form:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the equation:

[tex](x-3)^2+y^2=8\to(x-3)^2+(y-0)^2=(\sqrt8)^2[/tex]

Therefore

the center: [tex](3,\ 0)[/tex]

the radius: [tex]r=\sqrt8\to r=\sqrt{4\cdot2}\to r=\sqrt4\cdot\sqrt2\to r=2\sqrt2[/tex]

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