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Give that T = 37v/6v-5.4m a. Make V the subject of relation b. If T = 4.5 and M =7x10(7),calculate the value of v , leaving your answer in standard form

Sagot :

MrRoyal

Answer:

[tex]v = \frac{5.4mT}{6T - 37}[/tex]

[tex]v = -1.701*10^8[/tex]

Step-by-step explanation:

Given

[tex]T = \frac{37v}{6v-5.4m}[/tex]

Solving (a): Make v the subject

[tex]T = \frac{37v}{6v-5.4m}[/tex]

Cross Multiply:

[tex](6v-5.4m)T = 37v[/tex]

Open bracket

[tex]6vT - 5.4mT = 37v[/tex]

Collect Like terms

[tex]6vT - 37v= 5.4mT[/tex]

Factorize:

[tex](6T - 37)v= 5.4mT[/tex]

Make v the subject

[tex]v = \frac{5.4mT}{6T - 37}[/tex]

Solving (b):

[tex]T = 4.5[/tex]

[tex]m = 7 * 10^7[/tex]

So, the expression becomes:

[tex]v = \frac{5.4mT}{6T - 37}[/tex]

[tex]v = \frac{5.4*7*10^7*4.5}{6*4.5 - 37}[/tex]

[tex]v = \frac{170.1*10^7}{27 - 37}[/tex]

[tex]v = \frac{170.1*10^7}{-10}[/tex]

[tex]v = -17.01*10^7[/tex]

[tex]v = -1.701*10*10^7[/tex]

[tex]v = -1.701*10^8[/tex]

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