Question

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

Answer 1

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.

Step-by-step 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.