Final answer:
The number of segments that may be applied at once in mathematics depends on the context, as a segment refers to part of a line with two endpoints. Without additional information, it is not possible to provide a definite answer.
Step-by-step explanation:
The question “How many segments may be applied at once?” seems to be missing context, which makes it difficult to provide a definite answer. However, in the field of mathematics, a segment usually refers to a part of a line that is bounded by two distinct end points, and the term 'applied at once' could mean using segments in a geometric figure or in a problem-solving situation.
In a general sense, the number of segments that can be applied at one time depends on the specific geometric figure or situation. For example, when constructing a triangle, three line segments are used to form the sides. If you're solving a problem that involves partitioning a line into segments, there could be any number of segments created depending on the requirements of the problem.
If we need to choose from the given options (-1, 2, 3, 4) without additional information, the most reasonable answer would be ‘It depends on the context of the problem’. If the question relates to a specific geometric construction or context, please provide more details so that a more accurate answer can be given.