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math 20

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Using the procedure of comlpeting the square, write the equation x^2+y^2-6x+8y=0 in the form (x-h)^2+(y-k)^2=r^2.
state the domain and range
where(h,k) is the center of the circle and r is the radius

  • math 20 - ,

    first,

    (x^2-6x + ?)+(y^2+8y+?)=?

    we need (-3)^3 in the x, and 4^2 in the y

    (x^2-6x+9)+(y^2+8y+16)=9+16

    (x-3)^2 + (y+4)^2=5^2

  • math 20 - ,

    how did u get -3^3 and 4^2?

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