Question

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Answer 1

x^2 + y^2 = 45

Explanation:

(x − a ) ^2 + ( y − b ) ^2 =r^2

= (-3-0)^(2)+(6-0)^(2)

=45

Answer 2

D (last one),
`x^2+y^2=45`

Explanation:

We need to find the distance between (0,0) and (-3,6). Using the distance formula we get:

`d=√(\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2)`

`d=√(\left(-3-0\right)^2+\left(6-0\right)^2)`

`d=3√(5)`

Since equation of circle is:
`x^2+y^2=r^2` we have to square the distance we just found, which gives us 45.