Răspuns:
a) Mp = 5√6
b) Mp = 59/120
Explicație pas cu pas:
a)
[tex]Mp = \frac{4*2\sqrt{6} + 6*7\sqrt{6} }{4+6} = \frac{8\sqrt{6}+42\sqrt{6} }{10} = \frac{50\sqrt{6} }{10} = 5\sqrt{6}[/tex]
b)
Prelucrăm puțin pe b:
[tex]b=1\frac{1}{4} = \frac{4+1}{4} = \frac{5}{4}[/tex]
[tex]Mp = \frac{3*\frac{5}{4} + 7*\frac{1}{6} }{3+7} = \frac{\frac{15}{4} + \frac{7}{6} }{10} = \frac{\frac{3*15 + 2*7}{12} }{10} = \frac{45+14}{12} * \frac{1}{10} = \frac{59}{120}[/tex]
