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oksian1 [2.3K]
2 years ago
15

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

Mathematics
1 answer:
Fiesta28 [93]2 years ago
8 0

Answer:

See below

Step-by-step explanation:

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

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