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Category: Algebra

Consider-the-equations-of-two-intersecting-straight-lines-ax-by-c-0-a-1-x-b-1-y-c-1-0-Find-the-equation-of-straight-line-passing-through-a-given-point-x-0-y-0-and-the-intersection-

Question Number 133885 by bemath last updated on 25/Feb/21 $$\:\mathrm{Consider}\:\mathrm{the}\:\mathrm{equations}\:\mathrm{of}\:\mathrm{two} \\ $$$$\mathrm{intersecting}\:\mathrm{straight}\:\mathrm{lines} \\ $$$$\begin{cases}{{ax}+{by}+{c}=\mathrm{0}}\\{{a}_{\mathrm{1}} {x}+{b}_{\mathrm{1}} {y}+{c}_{\mathrm{1}} =\mathrm{0}}\end{cases} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{straight}\:\mathrm{line} \\ $$$$\mathrm{passing}\:\mathrm{through}\:\mathrm{a}\:\mathrm{given}\:\mathrm{point} \\ $$$$\left(\mathrm{x}_{\mathrm{0}} ,\mathrm{y}_{\mathrm{0}} \right)\:\mathrm{and}\:\mathrm{the}\:\mathrm{intersection}\:\mathrm{point}…

A-man-gave-5-720-00-to-be-shared-among-his-son-and-three-daughters-If-each-of-the-daughter-s-share-is-3-4-of-the-son-s-share-how-much-did-the-son-receive-

Question Number 68336 by pete last updated on 09/Sep/19 $$\mathrm{A}\:\mathrm{man}\:\mathrm{gave}\:\$\mathrm{5},\mathrm{720}.\mathrm{00}\:\mathrm{to}\:\mathrm{be}\:\mathrm{shared}\:\mathrm{among} \\ $$$$\mathrm{his}\:\mathrm{son}\:\mathrm{and}\:\mathrm{three}\:\mathrm{daughters}.\:\mathrm{If}\:\mathrm{each}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{daughter}'\mathrm{s}\:\mathrm{share}\:\mathrm{is}\:\frac{\mathrm{3}}{\mathrm{4}}\:\mathrm{of}\:\mathrm{the}\:\mathrm{son}'\mathrm{s}\:\mathrm{share}, \\ $$$$\mathrm{how}\:\mathrm{much}\:\mathrm{did}\:\mathrm{the}\:\mathrm{son}\:\mathrm{receive}? \\ $$ Commented by Rasheed.Sindhi last updated on 09/Sep/19…

Without-using-induction-or-arithmatic-series-concept-prove-the-following-1-2-3-n-n-n-1-2-

Question Number 2762 by Rasheed Soomro last updated on 26/Nov/15 $${Without}\:{using}\:\underset{−} {{induction}}\:{o}\underset{−} {{r}\:\:{arithmatic}\:{series}−{concept}\:\:\:} \\ $$$$\:{prove}\:{the}\:{following}: \\ $$$$\mathrm{1}+\mathrm{2}+\mathrm{3}+…+{n}=\frac{{n}\left({n}+\mathrm{1}\right)}{\mathrm{2}} \\ $$ Answered by prakash jain last updated…

Prove-that-i-2-n-gt-n-2-for-all-integral-values-of-n-5-ii-n-gt-3-n-1-for-all-integral-values-of-n-5-

Question Number 2750 by RasheedAhmad last updated on 26/Nov/15 $${Prove}\:{that}: \\ $$$$\left({i}\right)\:\:\mathrm{2}^{{n}} >{n}^{\mathrm{2}} \:\:{for}\:{all}\:{integral}\:{values} \\ $$$${of}\:\:{n}\geqslant\mathrm{5} \\ $$$$\left({ii}\right)\:{n}!>\mathrm{3}^{{n}−\mathrm{1}} ,{for}\:{all}\:{integral}\:{values} \\ $$$${of}\:{n}\geqslant\mathrm{5} \\ $$ Answered by…

two-students-ngum-ebon-gave-their-ages-as-124-4-and-33-x-respectively-if-both-of-them-are-of-thesame-ages-find-in-what-base-ebon-gave-her-age-

Question Number 68285 by mezihloic last updated on 08/Sep/19 $${two}\:{students}\:{ngum}\:{ebon}\:{gave}\:{their}\:{ages}\:{as}\:\mathrm{124}_{\mathrm{4}} {and}\:\mathrm{33}_{{x}} {respectively}.{if}\:{both}\:{of}\:{them}\:{are}\:{of}\:{thesame}\:{ages}\:.{find}\:{in}\:{what}\:{base}\:{ebon}\:{gave}\:{her}\:{age} \\ $$ Commented by Rasheed.Sindhi last updated on 08/Sep/19 $$\mathrm{124}_{\mathrm{4}} ? \\ $$$$\mathrm{A}\:\mathrm{number}\:\mathrm{written}\:\mathrm{in}\:\mathrm{the}\:\mathrm{base}\:\mathrm{of}\:\mathrm{4}…