Question

Urgent .Daca a supra b egal=1 supra 5 calculati a +2b supra a

Answer 1

Răspuns:

Explicație pas cu pas:

a/b = 1/5 ⇒ b = 5 × a  → produsul mezilor = produsul extremilor

( a + 2 b ) / a = ( a + 2 × 5 a ) / a = 11 a / a = 11

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Daca a nu e la numaratorul fractiei, atunci:

a + 2 b/a = a + ( 2 × 5 × a ) / a = a + 10×a/a = a + 10

Answer 2

$\it \dfrac{a}{b}=\dfrac{1}{5} \Rightarrow b=5a\ \ \ \ (*)\\ \\ \\ \dfrac{a+2b}{a}\ \stackrel{(*)}{=}\ \dfrac{a+10a}{a}=\dfrac{11a}{a}=11$

Sau:

$\it \dfrac{a}{b}=\dfrac{1}{5}\Rightarrow \dfrac{b}{a}=\dfrac{5}{1} \Rightarrow \dfrac{b}{a}=5\ \ \ \ (*)\\ \\ \\ \dfrac{a+2b}{a}=\dfrac{a}{a}+\dfrac{2b}{a}=1+2\cdot\dfrac{b}{a}\ \ \stackrel{(*)}{=}\ 1+2\cdot5=11$