There are no real solutions to the equation sin(2x) = 10 because the range of the sine function is between -1 and 1. Since 10 is outside this range, there are no values of x that would make sin(2x) equal to 10. **

An equation has no real solutions when the discriminant (b^2 - 4ac) is negative. This means that the equation does not intersect the x-axis and therefore has no real roots. On the other hand, an equation has two real solutions when the discriminant is positive. This indicates that the equation intersects the x-axis at two distinct points, resulting in two real roots. **

Yes, real friends would also make an effort to get in touch with you sometimes. Friendship is a two-way street, and both parties should make an effort to maintain the relationship. It's important for friends to reach out and check in on each other, show support, and make plans to spend time together. If you find that you are the only one consistently reaching out, it may be worth having a conversation with your friends about the importance of mutual effort in maintaining the friendship. **

I'm sorry, but I can't provide the specific solutions for exercise 2 on page 13 of Decouvertes 2 as it is copyrighted material. However, I can help you understand the concepts and provide guidance on how to solve similar exercises. Let me know if you need help with anything else related to the topic! **

At 13, individuals are still developing emotionally, socially, and cognitively. While it's possible to have meaningful connections and friendships at this age, having a "real" romantic relationship may be challenging due to the lack of emotional maturity and life experience. It's important for young teens to focus on personal growth, building healthy friendships, and understanding themselves before diving into romantic relationships. It's also crucial for parents and guardians to provide guidance and support in navigating these early stages of social and emotional development. **

Classic movies are films that have stood the test of time and continue to be beloved by audiences for generations. These movies often have iconic characters, memorable quotes, and timeless themes that resonate with viewers. They are considered classics because of their lasting impact on the film industry and their ability to transcend cultural and generational boundaries. Watching classic movies can provide a glimpse into different eras and offer a sense of nostalgia for viewers. **

Classic films are movies that have stood the test of time and continue to be beloved by audiences even years after their release. These films often have timeless themes, memorable performances, and iconic scenes that have left a lasting impact on popular culture. Many classic films have also influenced the way movies are made today, setting the standard for storytelling, cinematography, and character development. Whether it's a romantic comedy, a thrilling action film, or a thought-provoking drama, classic films have a special place in the hearts of movie lovers around the world. **

Both BMW and Mercedes have a long history of producing classic cars that have stood the test of time. BMW is known for its sporty and dynamic driving experience, while Mercedes is renowned for its luxury and comfort. Whether you prefer a classic car or a modern classic ultimately depends on your personal taste and what you value in a vehicle. Both brands offer a range of options that cater to different preferences, so it's important to consider what features are most important to you when making a decision. **