Answer:
The answer is A.
Step-by-step explanation:
Algebraic equations have two components other than the equal sign: the constant and the variable. A constant is a number (0, 1, 2, ...). A variable is a quantity that can be any constant unless specified to be a specific one. For example, if I say x = 2, then x has the value of 2 and only 2.
If I wanted to solve an algebraic equation like 2x - 4 = 6, I have to isolate x so that x is on one side of the equation and a constant is on the other side of the equation. This would mean that x would equal a number, its sole purpose. Specifically, I'd have to apply reverse GEMA (Grouping, Exponents, Multiplication, Addition) to solve this equation.
<u>We add 4 on both sides.</u>
2x - 4 = 6
2x = 10
<u>We divide by 2 on both sides.</u>
x = 5
But what about equations that only have variables? These are known as literal equations. Just like with any algebraic equation, you'd solve for the given variable because in the end, variables are just unspecified constants (numbers). But, instead of the answer being a constant like always, the answer has to have variables.
<u>For example, if I wanted to solve y = mx + b for b, I'd would isolate the given variable like in any other algebraic equation. In this case, we have to subtract mx on both sides.</u>
y = mx + b
y - mx = b
b = y - mx
<u>The same thing goes for V = s^2 * h for s. First, I have to isolate s^2 first before I consider isolating s. We do this by dividing h on both sides.</u>
V = s^2 * h
V / h = s^2
<u>We now have to square root both sides.</u>
√(V / h) = s
s = √(V / h)
<u>Answer A is the correct answer.</u>
