https://file.aiquickdraw.com/mathbot/file/1727230683502yeyaqacj.jpg

The equation provided is:

\[
tp = -rsq
\]

We are asked to solve for \( s \) in terms of \( p \), \( q \), \( r \), and \( t \).

### Steps to solve for \( s \):

1. Start with the equation: 
   \[
   tp = -rsq
   \]
2. Divide both sides of the equation by \( -rq \) to isolate \( s \):
   \[
   s = \frac{tp}{-rq}
   \]
   Simplifying the negative sign:
   \[
   s = -\frac{tp}{rq}
   \]

Thus, the solution for \( s \) is:

\[
s = -\frac{tp}{rq}
\]

Would you like more details or have any questions about this solution?

Here are five related questions you might explore:
1. How would the solution change if one of the variables, say \( q \), was zero?
2. What happens if you solve for \( r \) instead of \( s \)?
3. Can this equation be used to model a real-life situation?
4. How does the solution vary if we change the sign on one side of the equation?
5. How would solving this equation graphically look?

**Tip:** When isolating variables, always check for possible divisions by zero as they can make the equation undefined.

Solve for s in terms of p, q, r, and t. Given equation: tp = -rsq

Learn how to solve for the variable s in terms of p, q, r, and t from the equation tp = -rsq. This algebraic problem demonstrates how to isolate variables and manipulate equations using basic algebraic principles. Ideal for students in Grades 9-12.

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