Question Number 75317 by vishalbhardwaj last updated on 10/Dec/19 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{image}\:\mathrm{of}\:\mathrm{the}\:\mathrm{line}\: \\ $$$$\frac{{x}−\mathrm{2}}{−\mathrm{1}}\:=\:\frac{\mathrm{y}−\mathrm{3}}{\mathrm{2}}\:=\:\frac{\mathrm{z}−\mathrm{4}}{\mathrm{3}}\:\:\:\mathrm{in}\:\mathrm{the}\:\mathrm{plane}\: \\ $$$$\mathrm{2}{x}+\mathrm{3}{y}−\mathrm{4}{z}\:+\mathrm{3}=\mathrm{0}. \\ $$ Commented by vishalbhardwaj last updated on 10/Dec/19 $$\mathrm{yes}\:\mathrm{sir},\:\mathrm{I}\:\mathrm{corrected}\:\mathrm{it} \\…
Question Number 9779 by tawakalitu last updated on 03/Jan/17 Answered by sandy_suhendra last updated on 04/Jan/17 $$\mathrm{A}=\mathrm{5}\:\mathrm{cm}^{\mathrm{2}} =\mathrm{5}×\mathrm{10}^{−\mathrm{4}} \:\mathrm{m}^{\mathrm{2}} \\ $$$$\mathrm{L}=\mathrm{25}\:\mathrm{cm}=\mathrm{0}.\mathrm{25}\:\mathrm{m} \\ $$$$\mathrm{N}=\mathrm{120} \\ $$$$\mathrm{I}_{\mathrm{1}}…
Question Number 9778 by j.masanja06@gmail.com last updated on 02/Jan/17 $${find}\:{the}\:{relation}\:{between}\:{a},{b},\:{and}\:{c} \\ $$$${if}\:{the}\:{root}\:{of}\:{equatio}\:\:{ax}^{\mathrm{3}} +{bx}^{\mathrm{2}} \:+{cx}=\mathrm{0} \\ $$$${are}\:{in} \\ $$$$\left({i}\right){GP} \\ $$$$\left({ii}\right){Ap} \\ $$$$ \\ $$ Terms…
Question Number 9776 by tawakalitu last updated on 01/Jan/17 $$\mathrm{A}\:\mathrm{plant}\:\mathrm{group}\:\mathrm{of}\:\mathrm{company}\:\mathrm{is}\:\mathrm{to}\:\mathrm{convey}\:\mathrm{a}\: \\ $$$$\mathrm{machinery}\:\mathrm{from}\:\mathrm{city}\:\mathrm{X}\:\mathrm{with}\:\mathrm{co}\:\mathrm{ordinate} \\ $$$$\left(\mathrm{300},\mathrm{200}\right)\:\mathrm{to}\:\mathrm{city}\:\mathrm{Z}\:\mathrm{with}\:\mathrm{co}\:\mathrm{ordinate}\:\left(\mathrm{700},\mathrm{900}\right). \\ $$$$\mathrm{The}\:\mathrm{machinery}\:\mathrm{can}\:\mathrm{be}\:\mathrm{air}\:\mathrm{lifted}\:\mathrm{at}\:\mathrm{a}\:\mathrm{cost}\:\mathrm{of} \\ $$$$#\mathrm{9}\:\mathrm{per}\:\mathrm{kilometer}\:\mathrm{or}\:\mathrm{through}\:\mathrm{city}\:\mathrm{Y}\:\mathrm{with} \\ $$$$\mathrm{co}\:\mathrm{ordinate}\:\left(\mathrm{700},\mathrm{200}\right)\:\mathrm{by}\:\mathrm{an}\:\mathrm{articulated}\:\mathrm{truck} \\ $$$$\mathrm{at}\:\mathrm{a}\:\mathrm{cost}\:\mathrm{of}\:#\mathrm{7}\:\mathrm{per}\:\mathrm{kilometer}.\: \\ $$$$\mathrm{Determine}\:\mathrm{the}\:\mathrm{route}\:\mathrm{that}\:\mathrm{is}\:\mathrm{least}\:\mathrm{expensive}. \\…
Question Number 75306 by 21042004 last updated on 09/Dec/19 $${Use}\:{Venn}\:{diagram}\:{to} \\ $$$${represent}\:{the}\:{set}\:{of}\:{natural} \\ $$$${numbers},\:{integers},\:{rational} \\ $$$${numbers},\:{irrational} \\ $$$${numbers},\:{real}\:{numbers}, \\ $$$${complex}\:{numbers} \\ $$ Commented by mr…
Question Number 9769 by tawakalitu last updated on 01/Jan/17 Commented by tawakalitu last updated on 01/Jan/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{current}\:\mathrm{in}\:\mathrm{the}\:\mathrm{2}\:\mathrm{ohms}\:\mathrm{resistor}\:\mathrm{using} \\ $$$$\mathrm{NODAL}\:\mathrm{ANALYSIS}\:\mathrm{please}. \\ $$ Terms of Service Privacy…
Question Number 9768 by ridwan balatif last updated on 01/Jan/17 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{sin3}{x}\mathrm{cos3}{x}−\mathrm{sin3}{x}}{\mathrm{2}{x}^{\mathrm{2}} \mathrm{tan2}{x}\mathrm{cos}\frac{\mathrm{1}}{\mathrm{2}}{x}}=…? \\ $$ Answered by sandy_suhendra last updated on 01/Jan/17 $$=\mathrm{li}\underset{\mathrm{x}\rightarrow\mathrm{0}} {\mathrm{m}}\:\frac{\mathrm{sin3x}\:\left(\mathrm{cos3x}−\mathrm{1}\right)}{\mathrm{2x}^{\mathrm{2}} \:\mathrm{tan2x}\:\mathrm{cos}\frac{\mathrm{1}}{\mathrm{2}}\mathrm{x}}…
Question Number 75302 by vishalbhardwaj last updated on 09/Dec/19 $$\mathrm{If}\:\theta\:\mathrm{is}\:\mathrm{eleminated}\:\mathrm{from}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{x}\:=\: \\ $$$${a}\:{cos}\left(\theta−\alpha\right)\:\mathrm{and}\:{y}\:=\:{b}\:{cos}\left(\theta−\beta\right)\:\mathrm{then} \\ $$$$\mathrm{prove}\:\mathrm{that}\:\frac{{x}^{\mathrm{2}} }{{a}^{\mathrm{2}} }\:+\:\frac{{y}^{\mathrm{2}} }{{b}^{\mathrm{2}} }\:−\:\frac{\mathrm{2}{xy}}{{ab}}\:{cos}\left(\alpha−\beta\right)\:=\:{sin}^{\mathrm{2}} \left(\alpha−\beta\right)\:? \\ $$ Commented by vishalbhardwaj last…
Question Number 75303 by vishalbhardwaj last updated on 09/Dec/19 $$\mathrm{If}\:{cos}\theta\:=\:\frac{{cos}\alpha−\mathrm{cos}\beta}{\mathrm{1}−{cos}\alpha\:{cos}\beta}\:,\:\mathrm{prove}\:\mathrm{that}\:\mathrm{one} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{tan}\frac{\theta}{\mathrm{2}}\:\mathrm{is}\:{tan}\frac{\alpha}{\mathrm{2}}\:.\:{tan}\frac{\beta}{\mathrm{2}}\:?? \\ $$ Answered by mind is power last updated on 09/Dec/19 $$\frac{\mathrm{1}−\mathrm{cos}\left(\theta\right)}{\mathrm{1}+\mathrm{cos}\left(\theta\right)}=\mathrm{tg}^{\mathrm{2}} \left(\frac{\theta}{\mathrm{2}}\right)…
Question Number 75300 by vishalbhardwaj last updated on 09/Dec/19 $$\mathrm{A}\:\mathrm{line}\:\mathrm{is}\:\mathrm{such}\:\mathrm{that}\:\mathrm{its}\:\mathrm{segment}\:\mathrm{between} \\ $$$$\mathrm{the}\:\mathrm{lines}\:\mathrm{5x}−\mathrm{y}+\mathrm{4}\:=\:\mathrm{0}\:\mathrm{and}\:\mathrm{3x}+\mathrm{4y}−\mathrm{4}\:=\:\mathrm{0} \\ $$$$\mathrm{is}\:\mathrm{bisected}\:\mathrm{at}\:\mathrm{the}\:\mathrm{point}\:\left(\mathrm{1},\mathrm{5}\right).\:\mathrm{Obtain}\:\mathrm{its} \\ $$$$\mathrm{equation}\:? \\ $$ Answered by mr W last updated on…