Final answer:
A Hybrid Cloud model is used to connect Azure VMs with on-premises VMs, offering a mix of both private and public cloud frameworks to enhance scalability and maintain on-premises control when necessary.
Step-by-step explanation:
The cloud model used to connect Azure VMs and on-premises VMs is known as a Hybrid Cloud. This model combines both private and public cloud structures, allowing for data and applications to be shared between them. By using a Hybrid Cloud, organizations can keep on-premises control over certain aspects of their IT infrastructure while simultaneously taking advantage of the scalability and cost-effectiveness of cloud services like Azure for other components.
A Hybrid Cloud setup is especially beneficial for businesses that need to comply with data sovereignty laws or that require low-latency connections for certain applications that remain on-premises. Furthermore, it can be an integral part of a disaster recovery plan by having backups or failover systems in the cloud.