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Help :D .......................

Help :D .......................-example-1

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Answer:

The circunference is represented by the equation is
x^(2)+y^(2)-6\cdot x +4\cdot y +9=0.

The graph of this function is presented in the attachment.

Explanation:

The general equation of the circunferece is defined by the following formula:


x^(2)+y^(2)+A\cdot x + B\cdot y + C = 0 (1)

We can determine the value of the coefficients by knowing three distinct points:
(x_(1), y_(1)) = (3,0),
(x_(2),y_(2)) = (5,-2),
(x_(3),y_(3)) = (1, -2)

The system of linear equations is:


3\cdot A + C = -9 (2)


5\cdot A -2\cdot B + C = -29 (3)


A -2\cdot B + C = -5 (4)

The solution of this system is:
A = -6,
B = 4,
C = 9.

The circunference is represented by the equation is
x^(2)+y^(2)-6\cdot x +4\cdot y +9=0.

The graph of this function is presented in the attachment.

Help :D .......................-example-1
User GreenScape
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