peter02932
Answered

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Please help!!!!
Write the equation of the circle in general form. Show all your work

Please Help Write The Equation Of The Circle In General Form Show All Your Work class=

Sagot :

linandrew41

Let's first gather all the information we have:

 [tex]\rm\hookrightarrow Center: (-3, 2)\\\rm \hookrightarrow Radius: 5[/tex]

Let's put that into standard form [tex](x-h)^2+(y-k)^2 =r^2[/tex]

  • (h, k): center's coordinate
  • r: radius

              [tex]\rm \hookrightarrow Equation: (x+3)^2+(y-2)^2 = 5^2[/tex]

To put that equation into general form:

 ⇒ expand all the quadratics on one side and move the radius squared

      to the same side as the quadratics

           [tex](x+3)^2+(y-2)^2 = 25\\x^2+6x+9+y^2-4y+4=25\\x^2+y^2+6x-4y-12=0[/tex]

Answer: x² + y² + 6x - 4y - 12 = 0

Hope that helps!

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