Final answer:
The student's question pertains to an ellipse with a specified center, length of the major axis, and the minor axis endpoint. The semi-major axis is half of the major axis, and the semi-minor axis is calculated using the distance from the center to the minor axis endpoint.
Step-by-step explanation:
The question is about an ellipse with a given center, major axis, and an endpoint of the minor axis. The major axis of the ellipse is the longest diameter, and it has a length of 10 units. Since the major axis is given as 10 units, the semi-major axis, which is half of the major axis, is 5 units. The length of the minor axis can be determined by the distance between the center of the ellipse (5,0) and the endpoint of the minor axis (7,0), resulting in a minor axis length of 4 units. Therefore, the semi-minor axis is 2 units. An ellipse can be drawn using the method of tacks and string as described in the references, where the foci of the ellipse correspond to the locations of the tacks. If the tacks were to be at the same point, the ellipse would become a circle with eccentricity zero, and the semi-major axis would be equal to the radius of the circle.