Question

va rog dau coroana si 35 de puncte​

Answer 1

Răspuns:

a = 1/3

ma (a;b) = 1

Explicație pas cu pas:

a = √2/5 ·(1/√2 + √2/3) =>

a = √2/5 ·(³⁾√2/2 + ²⁾√2/3) =>

a = √2/5 ·(3√2+2√2)/6 =>

a = √2/5 · 5√2/6 = 5·√2·√2/30 = 10/30⁽¹⁰ =1/3

a = 1/3

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b = (³⁾1/√2 - 2/3√2) : 1/(5√2) = >

b = (3-2)/(3√2) · 5√2 = 5√2/3√2 = 5/3

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ma (a;b) = (a+b)/2 = (1/3 + 5/3)/2 = (6/3)/2 = 2/2 = 1

ma (a;b) = 1

Answer 2

$\displaystyle a)~a=\frac{\sqrt{2} }{5} \cdot \Bigg(\frac{1}{\sqrt{2}}+\frac{\sqrt{2} }{3}\Bigg)=\frac{\sqrt{2} }{5} \cdot \frac{1 \cdot 3+\sqrt{2}\cdot \sqrt{2} }{3\sqrt{2} } =\frac{\sqrt{2} }{5} \cdot \frac{3+2}{3\sqrt{2} } =\\\\ =\frac{\sqrt{2} }{5} \cdot \frac{5}{3\sqrt{2} } =\frac{1}{3}$

$\displaystyle b)~b=\Bigg(\frac{1}{\sqrt{2} } -\frac{2}{3\sqrt{2} } \Bigg):\frac{1}{5\sqrt{2} } =\frac{1 \cdot 3-2}{3\sqrt{2} } \cdot 5\sqrt{2} =\frac{3-2}{3\sqrt{2} } \cdot 5\sqrt{2} =\\\\=\frac{1}{3\sqrt{2} }\cdot 5\sqrt{2} =\frac{5}{3}$

$\displaystyle \left\begin{array}{ccc}a=\cfrac{1}{3}\\ \\b=\cfrac{5}{3} \end{array}\right| \Rightarrow m_a=\frac{a+b}{2} =\frac{\cfrac{1}{3} +\cfrac{5}{3} }{2} =\frac{\cfrac{6}{3} }{2} =\frac{6}{3} \cdot \frac{1}{2} =\frac{6}{6} =1$