https://file.aiquickdraw.com/mathbot/file/1726682901323121i0qep.jpg

Let's solve the equation from the image, where you need to solve for "A" in the formula:

\[
S = VT + 3AT^2
\]

### Steps to isolate \( A \):
1. Subtract \( VT \) from both sides:
   \[
   S - VT = 3AT^2
   \]
   
2. Divide both sides by \( 3T^2 \) to isolate \( A \):
   \[
   A = \frac{S - VT}{3T^2}
   \]

So, the formula for \( A \) is:

\[
A = \frac{S - VT}{3T^2}
\]

Would you like further clarification or details on this solution?

Here are 5 related questions for practice:
1. If \( S = 100 \), \( V = 5 \), and \( T = 2 \), what is the value of \( A \)?
2. How would the formula change if there were a coefficient other than 3 in front of the \( AT^2 \) term?
3. Can you explain the physical meaning of each variable in this equation (if it represents a physical scenario)?
4. What would happen to the value of \( A \) if \( T = 0 \)?
5. How can this formula be applied in solving real-world problems?

**Tip:** Always keep track of units when using formulas, especially in physics or engineering problems.

Solve for A in the equation S = VT + 3AT^2

Learn how to solve for A in the equation S = VT + 3AT^2 with a detailed step-by-step solution. This problem focuses on rearranging algebraic equations, solving for a specific variable, and applying these skills in physics or algebra contexts. Suitable for students in Grades 9-12.

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