Pregunta
The given equation relates the positive numbers
,
and
. Which equation correctly expresses
in terms
of
and
?
and
of
Ask by Macdonald Colon. in the United States
Jan 24,2025
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Solución
To solve for
in terms of
and
from the given equation:
Step 1: Multiply both sides of the equation by
to isolate
:
Step 2: Divide both sides by
to solve for
:
So, the correct equation expressing
in terms of
and
is:
Answer:
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Como
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Mind Expander
To isolate
from the given equation
, you can cross-multiply. This gives you
, and then, solving for
yields
. This means
is directly proportional to
and inversely proportional to
.
If you’re working with equations involving variables, always keep an eye on your units or dimensions. A common mistake could be neglecting to consider how changes in one variable affect the others. It’s important to double-check each manipulation step to ensure you haven’t inadvertently changed the equation’s meaning. Thus, remember to verify dimensions and units when applying any transformations!
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