Category: Algebra

Question Number 183120 by Shrinava last updated on 20/Dec/22 $$\mathrm{I}−\mathrm{Incenter}\:\mathrm{in}\:\:\bigtriangleup\mathrm{ABC} \\ $$$$\mathrm{A}\left(\mathrm{2},\mathrm{2}\right)\:,\:\mathrm{B}\left(\mathrm{6},\mathrm{4}\right)\:,\:\mathrm{C}\left(\mathrm{4},\mathrm{8}\right)\:,\:\mathrm{M}\left(\mathrm{8},\mathrm{6}\right) \\ $$$$\mathrm{Find}:\:\:\:\mathrm{MI}\:=\:? \\ $$ Answered by manolex last updated on 21/Dec/22 $$\mathbb{I}=\frac{{Aa}+\boldsymbol{{B}}{b}+{Cc}}{{a}+{b}+{c}} \\…

Question Number 117555 by dw last updated on 12/Oct/20 $${Alternative}\:{forms} \\ $$$$\begin{cases}{\sqrt{{x}}+\sqrt{{y}}=\frac{\mathrm{23}}{\mathrm{12}}}\\{\mathrm{9}{x}+\mathrm{16}{y}=\mathrm{29}}\end{cases} \\ $$$$ \\ $$ Answered by Olaf last updated on 12/Oct/20 $$\sqrt{{y}}\:=\:\frac{\mathrm{23}}{\mathrm{12}}−\sqrt{{x}} \\…

Question Number 183077 by Engr_Jidda last updated on 19/Dec/22 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 52007 by Tawa1 last updated on 02/Jan/19 $$\mathrm{Solve}:\:\:\:\:\:\:\:\:\:\:\left(\frac{\boldsymbol{\mathrm{x}}}{\mathrm{4}}\right)^{\boldsymbol{\mathrm{log}}_{\mathrm{5}} \mathrm{50}\boldsymbol{\mathrm{x}}} \:\:\:=\:\:\:\:\boldsymbol{\mathrm{x}}^{\mathrm{6}} \\ $$ Answered by MJS last updated on 02/Jan/19 $$\left(\frac{{x}}{\mathrm{4}}\right)^{\mathrm{log}_{\mathrm{5}} \:\mathrm{50}{x}} ={x}^{\mathrm{6}} \\…

Question Number 183044 by depressiveshrek last updated on 19/Dec/22 $${Find}\:{the}\:{equation}\:{of}\:{the}\:{line}\:{which} \\ $$$${passes}\:{through}\:{the}\:{point}\:\left(\mathrm{3},\:\mathrm{5}\right) \\ $$$${and}\:{is}\:{tangent}\:{to}\:{the}\:{circle} \\ $$$$\left({x}−\mathrm{1}\right)^{\mathrm{2}} +\left({y}−\mathrm{1}\right)^{\mathrm{2}} =\mathrm{4} \\ $$ Answered by mr W last…