A plane slices a cone such that an ellipse is formed, as shown.

If the angle is preserved, which describes the effect of moving the plane closer to the cone’s vertex? Check all that apply.

The major axis of the ellipse will get shorter.

The ellipse will become a circle.

The ellipse will degenerate to a point.

The plane starts to pass through both nappes of the cone.

The generator of the cone will lie on the plane.

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 2x + 3y is less than negative 3 over 2 times x minus 4part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points)part b: is the point (â’4, 6) included in the solution area for the system? justify your answer mathematically. (4 points)