Final answer:
To solve for A in the equation A(m^2-7) = T, divide both sides by (m^2-7), which results in A = T / (m^2 - 7), making option A the correct answer.
Step-by-step explanation:
To solve the equation A(m^2-7) = T for A, you need to isolate the variable A on one side of the equation. This can be done by dividing both sides of the equation by (m^2 - 7), assuming that (m^2 - 7) is not equal to zero, since division by zero is undefined.
So, the steps are as follows:
- Start with the equation A(m^2 - 7) = T.
- Divide both sides by (m^2 - 7) to get A by itself on one side:
- A = T / (m^2 - 7).
The correct solution for A given this equation is thus option A) A = T / (m^2 - 7).