Question

Si: 2/A = A/ M =M /O = O/512=k , hallar k ademas calcular A + M +O

Answer 1

    EC.1             EC.2             EC.3            EC.4         EC.5

$\frac{2}{A}=\frac{A}{M}=\frac{M}{O}=\frac{O}{512}=k$
EC.1 =EC.3
\frac{2}{A}=\frac{M}{O}
2O=AM
\frac{2}{M}= \frac{A}{O}.....EC.6
EC.2=EC.4
\frac{A}{M}=\frac{O}{512}
\frac{A}{O}}=\frac{M}{512}......Aqui Reemp. la EC.6
\\frac{2}{M}}=\frac{M}{512}
M²=1024
__M=32__
EC.1=EC.2
\frac{2}{A}=\frac{A}{M}
\frac{2}{A}=\frac{A}{32}
64=A²
__A=8__
\frac{2}{M}= \frac{A}{O}
\frac{2}{32}= \frac{8}{O}
__O=128__
EC.4=EC.5
\frac{O}{512}=k
\frac{128}{512}=k
___k=\frac{1}{4}___RESP.
A+M+O=8+32+128
___A+M+O=168___RESP.