Category: Algebra

Question Number 114134 by sherzodbek last updated on 17/Sep/20 $$\left({m}^{\mathrm{2}} −{n}^{\mathrm{2}} +\mathrm{6}\left({n}+{m}\right)/\left({m}^{\mathrm{2}} −\left(\mathrm{6}−{n}\right)^{\mathrm{2}} \right.\right. \\ $$$${m}+{n}=\mathrm{12} \\ $$ Commented by sherzodbek last updated on 17/Sep/20…

Question Number 179659 by mathlove last updated on 31/Oct/22 $${cos}\frac{\mathrm{2}\pi}{\mathrm{7}}=\frac{{ab}}{{c}} \\ $$$${cos}\frac{\mathrm{4}\pi}{\mathrm{7}}=\frac{{bc}}{{a}} \\ $$$${cos}\frac{\mathrm{6}\pi}{\mathrm{7}}=\frac{{ac}}{{b}}\:\:\:\:\:\:\: \\ $$$${faind}\:\:\:{a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} =? \\ $$ Answered by DvMc last…

Question Number 114110 by bemath last updated on 17/Sep/20 $$\frac{\mathrm{4}}{\mathrm{1}!}\:+\:\frac{\mathrm{11}}{\mathrm{2}!}\:+\:\frac{\mathrm{22}}{\mathrm{3}!}\:+\:\frac{\mathrm{37}}{\mathrm{4}!}\:+\:…\:=\:? \\ $$ Commented by Dwaipayan Shikari last updated on 17/Sep/20 $${y}\:\:\bigtriangleup{y}\:\bigtriangleup^{\mathrm{2}} {y} \\ $$$$\mathrm{4} \\…

Question Number 48553 by Cheyboy last updated on 25/Nov/18 $$\mathrm{In}\:\mathrm{a}\:\mathrm{hospital}\:\mathrm{unit},\mathrm{there}\:\mathrm{are}\:\mathrm{8}\:\mathrm{nurses} \\ $$$$\mathrm{and}\:\mathrm{5}\:\mathrm{physicians}.\:\mathrm{7}\:\mathrm{of}\:\mathrm{them}\:\mathrm{are} \\ $$$$\mathrm{female}\:\mathrm{nurses}\:\mathrm{and}\:\mathrm{3}\:\mathrm{of}\:\mathrm{them}\:\mathrm{are} \\ $$$$\mathrm{male}\:\mathrm{physicians}. \\ $$$$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{of} \\ $$$$\mathrm{selecting}\:\mathrm{a}\:\mathrm{staff}\:\mathrm{who}\:\mathrm{is}\:\mathrm{Nurse}\:\mathrm{or} \\ $$$$\mathrm{Male}? \\ $$$$\mathrm{plzz}\:\mathrm{help} \\…

Question Number 179593 by mathlove last updated on 30/Oct/22 $${pleas}\:{proof}\:{the}\:{elipse}\:{environment} \\ $$$${formullah} \\ $$$${p}=\pi\sqrt{\mathrm{2}{a}^{\mathrm{2}} +\mathrm{2}{b}^{\mathrm{2}} } \\ $$ Commented by mr W last updated on…