Answer:
[tex](x-9)^2+(y-1)^2=(\sqrt{157} )^2.[/tex]
Step-by-step explanation:
1. the rule is:
(x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - the centre of the given circle, r - its radius.
2. using the given point (9;1) and the centre (-2;-5) it is possible to calculate 'r²':
[tex]r^2=(9+2)^2+(1+5)^2=157=\sqrt{157^2} .[/tex]
3. finally,
[tex](x-9)^2+(y-1)^2=\sqrt{157^2} .[/tex]
