Answer:
D (last one), [tex]x^2+y^2=45[/tex]
Step-by-step explanation:
We need to find the distance between (0,0) and (-3,6). Using the distance formula we get:
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]d=\sqrt{\left(-3-0\right)^2+\left(6-0\right)^2}[/tex]
[tex]d=3\sqrt{5}[/tex]
Since equation of circle is: [tex]x^2+y^2=r^2[/tex] we have to square the distance we just found, which gives us 45.
