Which display systems broadcast on community-access channels via cable, satellite, or closed circuit over vast distances?

Video presentations are the correct choice because they are designed to be broadcasted effectively over various platforms such as cable, satellite, or closed circuit systems. These presentations can relay information to a wide audience, making them suitable for community-access channels where the goal is to reach as many viewers as possible across vast distances.

In contrast, visual presenters are typically used for showcasing materials in face-to-face settings rather than for broadcasting, while video conferencing solutions primarily focus on live interaction rather than pre-recorded broadcasts. Multimedia projectors, while crucial for displaying video content in localized settings, do not themselves broadcast; they require a connected device to show the content and are not designed for wide dissemination over channels. Thus, video presentations stand out as the most appropriate choice for the described scenario.