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Category: Algebra

how-can-i-write-out-6-to-thethird-power-divided-by-2-to-the-fourth-power-pleasr-help-me-write-out-this-equation-

Question Number 33876 by CaesarMedellin last updated on 26/Apr/18 $${how}\:{can}\:{i}\:{write}\:{out}\:\mathrm{6}\:{to}\:{thethird}\:{power}\:{divided}\:{by}\:\mathrm{2}\:{to}\:{the}\:{fourth}\:{power}\:{pleasr}\:{help}\:{me}\:{write}\:{out}\:{this}\:{equation}\: \\ $$ Commented by prakash jain last updated on 26/Apr/18 $$\frac{\mathrm{6}^{\mathrm{3}} }{\mathrm{2}^{\mathrm{4}} } \\ $$…

If-sin-3-cos-3-x-sin-cos-y-then-find-a-relationship-between-x-y-indepentent-of-

Question Number 164945 by mnjuly1970 last updated on 23/Jan/22 $$ \\ $$$$\:\:\mathrm{I}{f}\:\:\:\begin{cases}{\:\:{sin}\:\left(\:\mathrm{3}\theta\:\right)\:+\:{cos}\:\left(\:\mathrm{3}\theta\:\right)\:=\:{x}}\\{\:\:\:\:\:{sin}\left(\:\theta\:\right)\:+\:{cos}\:\left(\theta\:\right)\:=\:{y}}\end{cases} \\ $$$$\:\:\:\:\:\:\:\:{then}\:\:,\:{find}\:\:{a}\:{relationship}\: \\ $$$$\:\:\:\:\:\:\:\:{between}\:\:\:{x}\:\:,\:\:{y}\:\:\: \\ $$$$\:\:\:\:\:\:\:\:{indepentent}\:{of}\:,\:\:\:\theta\:. \\ $$ Answered by mr W last…

Question-164924

Question Number 164924 by cortano1 last updated on 23/Jan/22 Commented by bobhans last updated on 23/Jan/22 $$\:\left(\mathrm{1}\right)\:\mathrm{m}^{\mathrm{3}} =\mathrm{2020}+\sqrt{\mathrm{2019}} \\ $$$$\:\:\:\:\:\:\:\:\mathrm{n}^{\mathrm{3}} \:=\:\mathrm{2017}\:+\sqrt{\mathrm{2019}} \\ $$$$\:\:\:\:\:\:\:\mathrm{m}^{\mathrm{3}} −\mathrm{n}^{\mathrm{3}} \:=\:\mathrm{3}\:;\:\mathrm{3}+\mathrm{n}^{\mathrm{3}}…

Given-positive-numbers-a-b-c-d-Prove-that-a-3-b-3-c-3-a-b-c-b-3-c-3-d-3-b-c-d-c-3-d-3-a-3-c-d-a-d-3-a-3-b-3-d-a-b-

Question Number 164926 by Zaynal last updated on 23/Jan/22 $$\:\:\:\:\:\:\:\:\:\:\:\lfloor\boldsymbol{\mathrm{Given}}\:\boldsymbol{\mathrm{positive}}\:\boldsymbol{\mathrm{numbers}}\:\boldsymbol{{a}},\boldsymbol{{b}},\boldsymbol{{c}},\boldsymbol{{d}}\rceil \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{Prove}}\:\boldsymbol{\mathrm{that}}; \\ $$$$\:\:\:\:\:\:\:\:\lfloor\frac{\boldsymbol{{a}}^{\mathrm{3}} +\boldsymbol{{b}}^{\mathrm{3}} +\boldsymbol{{c}}^{\mathrm{3}} }{\boldsymbol{{a}}+\boldsymbol{{b}}+\boldsymbol{{c}}}\:+\:\frac{\boldsymbol{{b}}^{\mathrm{3}} +\boldsymbol{{c}}^{\mathrm{3}} +\boldsymbol{{d}}^{\mathrm{3}} }{\boldsymbol{{b}}+\boldsymbol{{c}}+\boldsymbol{{d}}}\:+\:\frac{\boldsymbol{{c}}^{\mathrm{3}} +\boldsymbol{{d}}^{\mathrm{3}} +\boldsymbol{{a}}^{\mathrm{3}} }{\boldsymbol{{c}}+\boldsymbol{{d}}+\boldsymbol{{a}}}\:+\:\frac{\boldsymbol{{d}}^{\mathrm{3}} +\boldsymbol{{a}}^{\mathrm{3}} +\boldsymbol{{b}}^{\mathrm{3}}…

Find-the-values-of-k-if-x-2-3x-4-5x-k-may-be-capable-of-taking-on-all-values-when-x-is-real-

Question Number 33838 by NECx last updated on 25/Apr/18 $${Find}\:{the}\:{values}\:{of}\:{k}\:{if}\:\frac{{x}^{\mathrm{2}} +\mathrm{3}{x}−\mathrm{4}}{\mathrm{5}{x}−{k}}\: \\ $$$${may}\:{be}\:{capable}\:{of}\:{taking}\:{on}\:{all} \\ $$$${values}\:{when}\:{x}\:{is}\:{real}. \\ $$ Answered by MJS last updated on 26/Apr/18 $$\mathrm{we}\:\mathrm{have}\:\mathrm{to}\:\mathrm{get}\:\mathrm{rid}\:\mathrm{of}\:\mathrm{the}\:\mathrm{square}……