Category: Algebra

Question Number 178374 by depressiveshrek last updated on 16/Oct/22 $$LetthepointsABCformatriangleonthe$$$$cartesianplane,whoseareais20.Letthecoordinates$$$$ofsaidpointsbeA(8,6)B(2,4)andC(x,y)$$$$If\mid AC\mid =\mid BC\mid ,findthecoordinatesofpointC.$$ Answered by Ar Brandon last updated on…

Question Number 178358 by Spillover last updated on 15/Oct/22 $$\mathrm{Show}\mathrm{that}\mathrm{when}\mathrm{x}\mathrm{is}\mathrm{small}$$$$\ln \left(\cosh \mathrm{x}\right)\approx \frac{{\mathrm{x}}^2}{2}-\frac{{\mathrm{x}}^4}{12}+\dots \mathrm{and}$$$$\mathrm{that}\mathrm{when}\mathrm{x}\mathrm{is}\mathrm{large}\ln \left(\cosh \mathrm{x}\right)\approx \mathrm{x}-\ln 2$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 178357 by Spillover last updated on 15/Oct/22 $$\mathrm{Given}\mathrm{that}\sinh {}^{-1}\mathrm{x}=\mathrm{sech}{}^{-1}\mathrm{x}$$$$\mathrm{show}$$$$\mathrm{x}=\sqrt{\frac{\sqrt{5}-1}{2}}$$ Answered by Ar Brandon last updated on…

Question Number 178354 by Spillover last updated on 15/Oct/22 $$\mathrm{Show}\mathrm{that}\mathrm{the}\mathrm{minimum}\mathrm{value}$$$$\mathrm{of}\sinh \mathrm{x}+\mathrm{ncosh}\mathrm{x}\mathrm{is}\sqrt{{\mathrm{n}}^2-1}$$$$\mathrm{and}\mathrm{this}\mathrm{occurs}\mathrm{x}=0.5\ln \left(\frac{\mathrm{n}-1}{\mathrm{n}+1}\right)$$ Answered by Ar Brandon last updated on 16/Oct/22…

Question Number 112804 by Aina Samuel Temidayo last updated on 09/Sep/20 $$\mathrm{If}\frac{97}{19}=\mathrm{a}+\frac{1}{\mathrm{b}+\frac{1}{\mathrm{c}}},\mathrm{where}\mathrm{a},\mathrm{b}\mathrm{and}\mathrm{c}\mathrm{are}$$$$\mathrm{positive}\mathrm{integers},\mathrm{then}\mathrm{what}\mathrm{is}\mathrm{the}\mathrm{sum}$$$$\mathrm{of}\mathrm{a},\mathrm{b}\mathrm{and}\mathrm{c}?$$ Answered by nimnim last updated on 09/Sep/20…