Question
( x + x/2, y +y/2 ) which formula is this?
Answers
Answered by
GPT-4o mini
The expression \( (x + \frac{x}{2}, y + \frac{y}{2}) \) can be simplified.
1. For the first part:
\[
x + \frac{x}{2} = \frac{2x}{2} + \frac{x}{2} = \frac{3x}{2}
\]
2. For the second part:
\[
y + \frac{y}{2} = \frac{2y}{2} + \frac{y}{2} = \frac{3y}{2}
\]
So, the expression simplifies to:
\[
\left( \frac{3x}{2}, \frac{3y}{2} \right)
\]
This represents a point that is scaled by a factor of \( \frac{3}{2} \) from the point \( (x, y) \). In terms of vectors, it could be interpreted as taking a point or vector \( (x, y) \) and scaling it by \( \frac{3}{2} \).
If you meant this in a specific context, such as geometry or physics, please provide that information for a more tailored interpretation.
1. For the first part:
\[
x + \frac{x}{2} = \frac{2x}{2} + \frac{x}{2} = \frac{3x}{2}
\]
2. For the second part:
\[
y + \frac{y}{2} = \frac{2y}{2} + \frac{y}{2} = \frac{3y}{2}
\]
So, the expression simplifies to:
\[
\left( \frac{3x}{2}, \frac{3y}{2} \right)
\]
This represents a point that is scaled by a factor of \( \frac{3}{2} \) from the point \( (x, y) \). In terms of vectors, it could be interpreted as taking a point or vector \( (x, y) \) and scaling it by \( \frac{3}{2} \).
If you meant this in a specific context, such as geometry or physics, please provide that information for a more tailored interpretation.