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erma4kov [3.2K]
3 years ago
11

Make v the subject of the formula ​

Mathematics
2 answers:
EleoNora [17]3 years ago
7 0

T =\dfrac 5{V+1}\\\\\\\implies VT+T = 5\\\\\implies VT = 5-T\\\\\implies V =\dfrac{5-T}T

Mariana [72]3 years ago
7 0
<h2>Answer:   V = \frac{5}{T} - 1   OR  V = \frac{5 - T}{T}</h2>

Step-by-step explanation:

One way we can make V the subject of the formulas by rearranging the terms mathematically to get V on one side of the equation and the other terms on the other side:

since       T = 5 ÷ (V + 1)          <em>[multiply both sides by (V+1)]</em>

    T (V + 1) = 5                        <em>[divide both sides by T]</em>

       (V + 1) = 5 ÷ T                <em>  [subtract 1 from both sides]</em>

              V = (5 ÷ T) - 1    OR   V = \frac{5}{T} - 1<em />

If we want the RHS with over a single denominator we can write it as

  V = (5 ÷ T) - (T ÷ T)      <em> [rewrite 1 in terms of T (T/T)]</em>

  V = (5 - T) ÷ T   OR  V = \frac{5 - T}{T}

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