Question

Find the Expression OF this equation.
c/3 / ac/4

QUESTION C

Answer 1

See below

Explanation:

`(a) \: \: x = (c)/(3) \\ \\ \implies \: {x}^(2) = { \bigg( (c)/(3) \bigg) }^(2) \\ \\ \bold{\implies \: {x}^(2) = \frac{ {c}^(2) }{9} } \\ \\ (b) \: \: x + y = (c)/(3) + (ac)/(4) \\ \\\implies \: \bold{x + y = (4c + 3ac)/(12) } \\ \\ (xy)/(z) = \frac{ (c)/(3) * (ac)/(4) }{ \frac{ {a}^(2) }{2c + 1} } \\ \\ = \frac{ (ac ^(2) )/(12) }{ \frac{ {a}^(2) }{2c + 1} } \\ \\ = \frac{a {c}^(2) }{12} * \frac{2c + 1}{ {a}^(2) } \\ \\ \implies\bold{(xy)/(z) = \frac{ {c}^(2)(2c + 1) }{12a} }`