LuckyCharms988 LuckyCharms988
  • 24-04-2019
  • Mathematics
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2. Write the equation of the circle in general form. Show all of your work.

2 Write the equation of the circle in general form Show all of your work class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 04-05-2019

Answer:

The general form is;

[tex]x^2+y^2+6x-8y+21=0[/tex]

Step-by-step explanation:

The given circle has center (h,k)= (-3,4) and radius r=2 units.

The equation of the circle is found using the formula;

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

We plug in the values to get;

[tex](x+3)^2+(y-4)^2=2^2[/tex]

[tex](x+3)^2+(y-4)^2=4[/tex]

Expand;

[tex]x^2+6x+9+y^2-8y+16=4[/tex]

[tex]x^2+y^2+6x-8y+16+9-4=0[/tex]

The general form is;

[tex]x^2+y^2+6x-8y+21=0[/tex]

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