Final answer:
To solve for p in the equation h = 2p√q, divide both sides of the equation by 2√q and then square both sides to isolate p, yielding the answer A. p = h²/4q.
Step-by-step explanation:
The question asks to solve for p in the equation h = 2p√q. Following a step-by-step approach, we isolate p by dividing both sides of the equation by 2√q, which yields:
p = ⅟(2√q)
Squaring both sides of the equation to remove the square root gives:
p² = ⅟h²/4q
Finally, taking the square root of both sides gives the solution for p:
p = h²/4q
Thus, the correct answer is A. p = h²/4q.