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One of the many definitions of plug is "to insert something into a hole or vacant space." The first mention of it being used in mathematic equations listed in the Oxford English Dictionary is 1972 in Scientific American.

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Q: Where does the phrase plug values into a formula come from?
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The formula is: circumference = 2 x pi x radius. As always when you use a formula, plug in the values you know and solve for the ones you don't. So plug in 46 for the circumference and solve for the radius. (You'll get that the radius = (circumference)/(2pi)).


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Why would you want to solve a literal equation for a variable when you could simply plug in known values and then solve the resulting linear equation?

if you solve by plugging in the known values ahead of time you won't have a general formula for the variable in the literal equation. Therefor if the known values change, you would have to start all over again, making each problem more individualized. Once the literal equation is solved for some variable, if the known values change all you have to do is plug in those new numbers to your literal equation, and out pops your answer


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