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  • 21-05-2020
  • Mathematics
contestada

(x-13.4)^2+(y+2.6)^2=100

What is its center?

(_____,_____)

What is its radius?

_____units

x1342y262100What is its centerWhat is its radiusunits class=

Respuesta :

nuuk nuuk
  • 26-05-2020

Answer:radius =10 units

Step-by-step explanation:

Given

Equation of circle is given by

[tex](x-13.4)^2+(y+2.6)^2=100\quad \ldots(i)[/tex]

Now general equation of circle with center [tex](h,k)[/tex] with radius [tex]r[/tex] is given by

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

Comparing [tex](i)[/tex]  and  [tex](ii)[/tex]  we get

[tex]h=13.4[/tex]

[tex]k=-2.6[/tex]

[tex]r=10[/tex]

Thus center is [tex](13.4,-2.6)[/tex]

and radius [tex]r =10\ units[/tex]

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