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]
