Question Number 217047 by hardmath last updated on 27/Feb/25 $$\mathrm{Parties}\:-\:\mathrm{a},\mathrm{b},\mathrm{c},\mathrm{d} \\ $$$$\mathrm{For}\:\mathrm{a}\:\mathrm{convex}\:\mathrm{quadrilateral} \\ $$$$\mathrm{Prove}\:\mathrm{that}: \\ $$$$\mathrm{Area}\left(\mathrm{ABCD}\right)\:\leqslant\:\frac{\mathrm{a}^{\mathrm{2}} \:+\:\mathrm{b}^{\mathrm{2}} \:+\:\mathrm{c}^{\mathrm{2}} \:+\:\mathrm{d}^{\mathrm{2}} }{\mathrm{4}} \\ $$ Terms of Service…
Question Number 217040 by ArshadS last updated on 27/Feb/25 $$\mathrm{Find}\:\mathrm{all}\:\mathrm{positive}\:\mathrm{integers}\:\:\mathrm{n}\:\:\mathrm{such}\:\mathrm{that} \\ $$$$\:\:\mathrm{n}\:\:\mathrm{divides}\:\:\mathrm{2}^{{n}} \:+\:\mathrm{1}.\:\: \\ $$ Answered by Ghisom last updated on 27/Feb/25 $$\mathrm{one}\:\mathrm{group}\:\mathrm{of}\:\mathrm{solutions}\:\mathrm{is}\:{n}=\mathrm{3}^{{k}} \wedge{k}\in\mathbb{N} \\…
Question Number 217024 by Hanuda354 last updated on 27/Feb/25 Answered by Rasheed.Sindhi last updated on 27/Feb/25 $$\mathrm{6249}+\mathrm{6850}=\mathrm{13099} \\ $$$$\mathrm{8694}+\mathrm{8350}=\mathrm{17044}\:\checkmark \\ $$$$\: \\ $$$$\:\begin{array}{|c|c|c|}{\:}&\hline{\mathrm{F}}&\hline{\mathrm{I}}&\hline{\mathrm{V}}&\hline{\mathrm{E}}\\{+}&\hline{\mathrm{F}}&\hline{\mathrm{O}}&\hline{\mathrm{U}}&\hline{\mathrm{R}}\\{\mathrm{T}}&\hline{\mathrm{H}}&\hline{\mathrm{R}}&\hline{\mathrm{E}}&\hline{\mathrm{E}}\\\hline\end{array}\: \\ $$$$\:\begin{array}{|c|c|c|}{\:}&\hline{\mathrm{F}}&\hline{\mathrm{I}}&\hline{\mathrm{V}}&\hline{\mathrm{E}}\\{+}&\hline{\mathrm{F}}&\hline{\mathrm{O}}&\hline{\mathrm{U}}&\hline{\mathrm{0}}\\{\mathrm{T}}&\hline{\mathrm{H}}&\hline{\mathrm{0}}&\hline{\mathrm{E}}&\hline{\mathrm{E}}\\\hline\end{array}\:\:…
Question Number 216990 by MathematicalUser2357 last updated on 26/Feb/25 $$\left(\mathrm{1}\right)\:\int\left(\mathrm{sec}^{\mathrm{2}} {x}\centerdot\sqrt{\mathrm{tan}\:{x}}\right){dx}=? \\ $$ Commented by MathematicalUser2357 last updated on 26/Feb/25 $$\left(\mathrm{2}\right)\:\mathrm{Go}\:\mathrm{to}\:\underline{\mathrm{https}://\mathrm{playentry}.\mathrm{org}/\mathrm{project}/\mathrm{67a8a3c0d78abe99420525f0}} \\ $$$$\mathrm{and}\:\mathrm{press}\:\mathrm{the}\:\mathrm{play}\:\mathrm{button}\:\mathrm{and}\:\mathrm{screenshot}\:\mathrm{and}\:\mathrm{give}\:\mathrm{the}\:\mathrm{screenshot}\:\mathrm{to}\:\mathrm{me} \\ $$…
Question Number 216982 by OmoloyeMichael last updated on 26/Feb/25 $$\boldsymbol{{Form}}\:\boldsymbol{{the}}\:\boldsymbol{{differential}}\:\boldsymbol{{equation}}\:\boldsymbol{{by}} \\ $$$$\boldsymbol{{eliminating}}\:\boldsymbol{{abitrary}}\:\boldsymbol{{constant}}. \\ $$$$\boldsymbol{{y}}^{\mathrm{2}} =\boldsymbol{{Ax}}^{\mathrm{2}} +\boldsymbol{{Bx}}+\boldsymbol{{C}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 217015 by hardmath last updated on 26/Feb/25 $$\mathrm{If} \\ $$$$\mathrm{f}\left(\mathrm{2x}\:+\:\mathrm{1}\right)\:=\:\mathrm{3x}\:+\:\mathrm{5} \\ $$$$\mathrm{Find} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)\:=\:? \\ $$ Answered by Rasheed.Sindhi last updated on 26/Feb/25…
Question Number 216983 by hardmath last updated on 26/Feb/25 Answered by mr W last updated on 26/Feb/25 $$\overset{\rightarrow} {\boldsymbol{{A}}}=\left({a}_{\mathrm{1}} ,{a}_{\mathrm{2}} ,..,{a}_{{n}} \right) \\ $$$$\overset{\rightarrow} {\boldsymbol{{B}}}=\left({b}_{\mathrm{1}}…
Question Number 216975 by issac last updated on 26/Feb/25 $$\mathrm{why}\:\mathrm{my}\:\mathrm{answer}\:\mathrm{is}\:\mathrm{deleted}????? \\ $$ Commented by Ghisom last updated on 26/Feb/25 $$\mathrm{I}\:\mathrm{saw}\:\mathrm{this}.\:\mathrm{just}\:\mathrm{a}\:\mathrm{thought}: \\ $$$$\mathrm{maybe}\:\mathrm{an}\:\mathrm{answer}\:\mathrm{should}\:\mathrm{be}\:\mathrm{given}\:\mathrm{under} \\ $$$$\mathrm{the}\:\mathrm{question}\:\mathrm{where}\:\mathrm{it}\:\mathrm{belongs}\:\mathrm{to}?\:\mathrm{see}\:\mathrm{my} \\…
Question Number 216998 by hardmath last updated on 26/Feb/25 Commented by mr W last updated on 26/Feb/25 $${ceva}'{s}\:{theorem} \\ $$ Commented by hardmath last updated…
Question Number 216995 by Rasheed.Sindhi last updated on 26/Feb/25 $$\mathrm{Find}\:\mathrm{all}\:\mathrm{prime}\:\mathrm{numbers}\:\:\mathrm{p}\:\mathrm{and}\:\mathrm{q}\: \\ $$$$\mathrm{such}\:\mathrm{that} \\ $$$$\mathrm{p}^{\mathrm{2}} −\:\:\mathrm{q}^{\mathrm{2}} =\:\:\mathrm{2024} \\ $$ Answered by Marzuk last updated on 26/Feb/25…