A carnival ride is drawn on a coordinate plane so that the first car is located at the point (30,0). what are the coordinates of the first car after a reputation of 270° about the origin?

Let's begin by listing out the information given to us:
The first point is (30,0)
The carnival ride undergoes a 270° rotation
The general rule for rotation over 270° is given by: (x, y) = (y, -x)
[tex]\begin{gathered} (x,y)=(y,-x) \\ A(30,0)=A^{\prime}(0,-30) \end{gathered}[/tex]A (30,0) = A' (0,-30)