96 soldiers will remain unassigned and the arrangement will consist of 52 rows.
Option C: The paths of the skaters intersect at two points, but only one of them falls within the rink's boundaries. Step-by-step explanation: The center of the ice rink is established at coordinates (0,0) with a radius of 35 meters. The standard equation for a circle, given the coordinates (a,b) and radius r, is (x - a)² + (y - b)² = r². Therefore, the skating area can be defined as x² + y² = 35². Susan's skating path follows the equation y = 6x - x² - 5, meanwhile, Luke maneuvers from point (10, –21) along a parabolic path centered at (8, –9). This leads us to solve for the intersection points of their paths, confirming that while they intersect twice, only one point exists within the rink's confines.