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Category: Algebra

Sachant-que-A-1-A-2-10cm-AAB-75-1-Determiner-l-angle-x-2-Determiner-la-distance-A-1-A6-3-Determiner-la-hauteur-h-A-6-B-

Question Number 180082 by a.lgnaoui last updated on 07/Nov/22 $${Sachant}\:{que}\:\:\mathrm{A}_{\mathrm{1}} \mathrm{A}_{\mathrm{2}} =\mathrm{10}{cm}:\:\measuredangle\mathrm{AAB}=\mathrm{75}^{°} \\ $$$$\mathrm{1}−{Determiner}\:{l}\:'{angle}\:{x} \\ $$$$\mathrm{2}−{Determiner}\:{la}\:{distance}\:\mathrm{A}_{\mathrm{1}} \mathrm{A6} \\ $$$$\mathrm{3}−{Determiner}\:{la}\:{hauteur}\left[{h}\right]=\mathrm{A}_{\mathrm{6}} \mathrm{B} \\ $$ Commented by a.lgnaoui…

a-2-b-2-4-ab-2-a-b-

Question Number 180069 by Acem last updated on 06/Nov/22 $${a}^{\mathrm{2}} −{b}^{\mathrm{2}} =\:\mathrm{4}\:,\:{ab}=\:\mathrm{2}\:\:\:,\:{a}+{b}=\:? \\ $$ Commented by Acem last updated on 07/Nov/22 $${Have}\:{a}\:{good}\:{day}\:{my}\:{brothers} \\ $$$$\:{mr}.\:{W}\:{and}\:{mr}.\:{Rasheed} \\…

Find-numbers-which-are-common-terms-of-the-two-following-arithmetic-progression-3-7-11-407-and-2-9-16-709-

Question Number 114511 by 1549442205PVT last updated on 19/Sep/20 $$\mathrm{Find}\:\mathrm{numbers}\:\mathrm{which}\:\mathrm{are}\:\mathrm{common} \\ $$$$\mathrm{terms}\:\mathrm{of}\:\mathrm{the}\:\mathrm{two}\:\mathrm{following}\:\mathrm{arithmetic} \\ $$$$\mathrm{progression}: \\ $$$$\mathrm{3},\mathrm{7},\mathrm{11},…,\mathrm{407}\:\mathrm{and}\:\mathrm{2},\mathrm{9},\mathrm{16},…,\mathrm{709} \\ $$ Commented by bobhans last updated on 19/Sep/20…

What-is-the-absolute-error-for-the-measurements-a-250m-to-the-nearest-10m-b-143m-to-three-sig-figures-c-41500cm-to-the-nearest-100-

Question Number 179992 by nadovic last updated on 08/Feb/23 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{absolute}\:\mathrm{error}\:\mathrm{for}\:\mathrm{the} \\ $$$$\mathrm{measurements}: \\ $$$$\:\:\:\:\left({a}\right)\:\mathrm{250}{m}\:\mathrm{to}\:\mathrm{the}\:\mathrm{nearest}\:\mathrm{10}{m}. \\ $$$$\:\:\:\:\left({b}\right)\:\mathrm{143}{m}\:\mathrm{to}\:\mathrm{three}\:\mathrm{sig}.\:\mathrm{figures}. \\ $$$$\:\:\:\:\left({c}\right)\:\:\mathrm{41500}{cm}\:\mathrm{to}\:\mathrm{the}\:\mathrm{nearest}\:\mathrm{100}. \\ $$ Terms of Service Privacy Policy…

Question-179955

Question Number 179955 by Shrinava last updated on 04/Nov/22 Answered by aleks041103 last updated on 04/Nov/22 $$\left({K},+\right)\ncong\left({K}/\left\{{O}_{\mathrm{2}} \right\},\:\centerdot\right)\Rightarrow \\ $$$$\nexists{s}:{K}\rightarrow{K}/\left\{{O}_{\mathrm{2}} \right\}:{s}\left({x}+{y}\right)={s}\left({x}\right)\centerdot{s}\left({y}\right)\wedge{s}−{bijective} \\ $$$${denote}\:\begin{pmatrix}{{a}}&{{b}}\\{−{b}}&{{a}}\end{pmatrix}\::=\left({a},{b}\right) \\ $$$${then}\:\left({a},{b}\right)+\left({c},{d}\right)=\left({a}+{c},{b}+{d}\right)…

Developed-the-formula-for-the-cubic-equation-when-it-has-three-real-roots-and-Cardano-is-just-not-suitable-as-discriminant-gets-negative-Given-x-3-bx-c-0-with-b-gt-0-c-gt-0-t-b-1-15

Question Number 114388 by ajfour last updated on 18/Sep/20 $${Developed}\:{the}\:{formula}\:{for}\:{the}\:{cubic} \\ $$$${equation}\:{when}\:{it}\:{has}\:{three}\:{real}\:{roots} \\ $$$${and}\:{Cardano}\:{is}\:{just}\:{not}\:{suitable}\:{as} \\ $$$${discriminant}\:{gets}\:{negative}.. \\ $$$$\:\:\:{Given}\:\:\:\:\boldsymbol{{x}}^{\mathrm{3}} −\boldsymbol{{bx}}−\boldsymbol{{c}}=\mathrm{0} \\ $$$$\:\:{with}\:\:\boldsymbol{{b}}>\mathrm{0}\:,\:\boldsymbol{{c}}>\mathrm{0} \\ $$$$\:\frac{\boldsymbol{{t}}}{\boldsymbol{{b}}}=\mathrm{1}+\frac{\mathrm{15}}{\mathrm{2}}\left(\frac{\boldsymbol{{c}}^{\mathrm{2}} }{\boldsymbol{{b}}^{\mathrm{3}} }\right)+\sqrt{\left(\frac{\boldsymbol{{c}}^{\mathrm{2}}…