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Given the equation of a circle below, find the diameter of the circle. Use only the digits 0-9 to enter the diameter.
x² + y² + 6x - 4y = 387​

Respuesta :

Answer:

The diameter of the circle is 40 units

Step-by-step explanation:

[tex]x^2+y^2+6x-4y=387[/tex]

[tex]x^2+6x+y^2-4y=387[/tex]

[tex](x^2+6x+9)+(y^2-4y+4)=387+9+4[/tex]

[tex](x+3)^2+(y-2)^2=400[/tex]

[tex]r^2=400[/tex]

[tex]r=20[/tex]

[tex]d=2r=2(20)=40[/tex]

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