Question

ME AJUDA POR FAVOR!​

Answer 1

Resposta:

$\frac{5}{9}$ letra C

Explicação passo-a-passo:

$\frac{2^{-1} + 3^{-1}}{\sqrt{1 + 5.4^{-1}}}$

$\frac{2^{-1} + 3^{-1}}{\sqrt{1 + \frac{5}{4} }}$

$\frac{2^{-1} + 3^{-1}}{\sqrt{\frac{9}{4} }}$

$\frac{\frac{1}{2} + \frac{1}{3} }{\frac{3}{2} }$

$\frac{\frac{5}{6} }{\frac{3}{2} }$

$\frac{5}{9}$

Answer 2

Resposta:

$\frac{2^{-1}+3^{-1}}{\sqrt{1+5\cdot \:4^{-1}}}$

$\sqrt{1+5\cdot \:4^{-1}}=\frac{3}{2}$

$=\frac{2^{-1}+3^{-1}}{\frac{3}{2}}$

$\mathrm{Simplificar}\:2^{-1}+3^{-1}:\quad \frac{1}{2}+\frac{1}{3}$

$=\frac{\frac{1}{2}+\frac{1}{3}}{\frac{3}{2}}$

$\mathrm{Simplificar}\:\frac{1}{2}+\frac{1}{3} = \frac{5}{6}$

$= \frac{\frac{5}{6}}{\frac{3}{2}}$

$\mathrm{Dividir\:fracoes}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}$

$=\frac{5\cdot \:2}{6\cdot \:3}$

$=\frac{5\cdot \:2}{18}$

$=\frac{10}{18}$

$=\frac{5}{9}$

Valor de m sera 5/9