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Solve for a in the literal equation V^2 = b - 2a(x - y).

a) a = (b - V^2) / (2(x - y))
b) a = (V^2 - b) / (2(x - y))
c) a = (b + V^2) / (2(x - y))
d) a = (2(x - y)) / (V^2 - b)

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Final answer:

To solve for a in the literal equation V^2 = b - 2a(x - y), isolate a by following these steps: multiply -2a(x - y), add 2ax to both sides, subtract V^2 from both sides, and divide by 2(x - y). The solution is a = (b - V^2) / (2(x - y)).

Step-by-step explanation:

To solve for a in the literal equation V^2 = b - 2a(x - y), we need to isolate a. Here are the steps:

  1. Multiply -2a(x - y) to get -2ax + 2ay.
  2. Add 2ax to both sides of the equation to eliminate it from the right side.
  3. Subtract V^2 from both sides to isolate a, resulting in 2ay = b - V^2.
  4. Divide both sides by 2(x - y) to solve for a, giving us the equation a = (b - V^2) / (2(x - y)).

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