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Category: Algebra

My-mother-is-making-a-game-for-children-that-involves-words-on-cards-e-g-card-one-hase-words-a-and-b-for-whatever-a-and-b-might-be-She-has-a-list-of-20-words-and-she-wants-cards-that-are-t-duplic

Question Number 5315 by FilupSmith last updated on 07/May/16 $$\mathrm{My}\:\mathrm{mother}\:\mathrm{is}\:\mathrm{making}\:\mathrm{a}\:\mathrm{game}\:\mathrm{for}\:\mathrm{children} \\ $$$$\mathrm{that}\:\mathrm{involves}\:\mathrm{words}\:\mathrm{on}\:\mathrm{cards}. \\ $$$$\mathrm{e}.\mathrm{g}.\:\mathrm{card}\:\mathrm{one}\:\mathrm{hase}\:\mathrm{words}\:{a}\:\mathrm{and}\:{b}, \\ $$$$\mathrm{for}\:\mathrm{whatever}\:{a}\:\mathrm{and}\:{b}\:\mathrm{might}\:\mathrm{be}. \\ $$$$ \\ $$$$\mathrm{She}\:\mathrm{has}\:\mathrm{a}\:\mathrm{list}\:\mathrm{of}\:\mathrm{20}\:\mathrm{words}\:\mathrm{and}\:\mathrm{she}\:\mathrm{wants}\:\mathrm{cards} \\ $$$$\mathrm{that}\:\mathrm{are}'\mathrm{t}\:\mathrm{duplicate}.\:\mathrm{That}\:\mathrm{is},\:{a}\:{b}\:\mathrm{and}\:{b}\:{a} \\ $$$$\mathrm{are}\:\mathrm{duplicates}. \\…

If-3-2-a-b-c-a-b-c-then-a-bc-

Question Number 136340 by liberty last updated on 21/Mar/21 $${If}\:\sqrt{\mathrm{3}+\sqrt{\mathrm{2}}}\:=\:\sqrt{\frac{{a}+\sqrt{{b}}}{{c}}}\:+\:\sqrt{\frac{{a}−\sqrt{{b}}}{{c}}} \\ $$$${then}\:{a}+{bc}\:=\:? \\ $$ Answered by Ñï= last updated on 21/Mar/21 $$\sqrt{\mathrm{3}+\sqrt{\mathrm{2}}}=\sqrt{{x}}+\sqrt{{y}} \\ $$$$\mathrm{3}+\sqrt{\mathrm{2}}={x}+{y}+\mathrm{2}\sqrt{{xy}} \\…

Question-136283

Question Number 136283 by JulioCesar last updated on 20/Mar/21 Answered by Ar Brandon last updated on 20/Mar/21 $$\int\mathrm{e}^{\mathrm{g}\left(\mathrm{x}\right)} \left[\mathrm{f}\left(\mathrm{x}\right)\mathrm{g}'\left(\mathrm{x}\right)+\mathrm{f}\:'\left(\mathrm{x}\right)\right]\mathrm{dx}=\mathrm{e}^{\mathrm{g}\left(\mathrm{x}\right)} \mathrm{f}\left(\mathrm{x}\right) \\ $$ Terms of Service…

Silly-question-1-a-b-1-b-Does-this-equal-1-b-a-b-1-b-2-a-b-1-ab-Ive-never-done-this-so-it-has-oddly-surprised-me-

Question Number 5203 by FilupSmith last updated on 30/Apr/16 $$\mathrm{Silly}\:\mathrm{question} \\ $$$$ \\ $$$$\frac{\mathrm{1}}{\:\sqrt{\frac{{a}}{{b}}}}×\frac{\mathrm{1}}{{b}} \\ $$$$ \\ $$$$\mathrm{Does}\:\mathrm{this}\:\mathrm{equal}: \\ $$$$\frac{\mathrm{1}}{{b}\sqrt{\frac{{a}}{{b}}}}=\frac{\mathrm{1}}{\:\sqrt{{b}^{\mathrm{2}} \frac{{a}}{{b}}}}=\frac{\mathrm{1}}{\:\sqrt{{ab}}}\:???? \\ $$$$ \\ $$$$\mathrm{Ive}\:\mathrm{never}\:\mathrm{done}\:\mathrm{this}\:\mathrm{so}\:\mathrm{it}\:\mathrm{has}\:\mathrm{oddly}\:\mathrm{surprised}\:\mathrm{me}…

Question-5119

Question Number 5119 by sanusihammed last updated on 14/Apr/16 Commented by 123456 last updated on 15/Apr/16 $${x}=\sqrt{\mathrm{3}+\mathrm{2}\sqrt{\mathrm{2}}} \\ $$$${x}^{\mathrm{2}} =\mathrm{3}+\mathrm{2}\sqrt{\mathrm{2}} \\ $$$${x}=\sqrt{{a}}+\sqrt{{b}}\wedge{a}>\mathrm{0}\wedge{b}>\mathrm{0} \\ $$$${x}^{\mathrm{2}} ={a}+{b}+\mathrm{2}\sqrt{{ab}}…

How-do-you-find-the-1-Focal-point-2-Directrix-for-y-ax-2-bx-c-For-simplicity-lets-assume-it-goes-throigh-point-0-0-

Question Number 5113 by FilupSmith last updated on 14/Apr/16 $$\mathrm{How}\:\mathrm{do}\:\mathrm{you}\:\mathrm{find}\:\mathrm{the}: \\ $$$$\left(\mathrm{1}\right)\:\:\mathrm{Focal}\:\mathrm{point} \\ $$$$\left(\mathrm{2}\right)\:\:\mathrm{Directrix} \\ $$$$\mathrm{for}\:{y}={ax}^{\mathrm{2}} +{bx}+{c} \\ $$$$ \\ $$$$\mathrm{For}\:\mathrm{simplicity},\:\mathrm{lets}\:\mathrm{assume}\:\mathrm{it}\:\mathrm{goes}\:\mathrm{throigh} \\ $$$$\mathrm{point}\:\left(\mathrm{0},\:\mathrm{0}\right). \\ $$…