Pregunta
Part 4 of 4
(d) The ratio
, whereas the ratio
provided that
.
(d) The ratio
Ask by Wang Weaver. in the United States
Mar 15,2025
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Solución
Let
and
be numbers with
.
-
First, consider the ratioSince the numerator and the denominator are the same (and not zero because
), we have -
Next, consider the ratioNotice thatSubstituting this into the ratio, we obtain
Thus, the completed statements are:
-
, -
.
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Beyond the Answer
The ratio
as long as
ensures that you’re not dividing by zero. In essence, this reveals the self-duality of any non-zero quantity, where the same value over itself gives you a whole.
On the other hand, the ratio
reflects the reversal of terms. Since
is simply
, this expression illustrates how flipping the order of subtraction switches the sign, reminding us that subtraction is not commutative, and that’s where the fun bits of algebra start to unfold!

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