Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
140801	Solve Using a Matrix by Elimination	2x+y-z=-82y+3z=-6-1/2x+y+z=-4	$2 x + y - z = - 82 y + 3 z = - 6 - \frac{1}{2} x + y + z = - 4$
140802	Solve Using a Matrix by Elimination	2x+y+4z=165x-2y+2z=-1x+2y-3z=-9	$2 x + y + 4 z = 165 x - 2 y + 2 z = - 1 x + 2 y - 3 z = - 9$
140803	Solve Using a Matrix by Elimination	2x+y+z=-33x-5y+3z=-45x-y+2z=-2	$2 x + y + z = - 33 x - 5 y + 3 z = - 45 x - y + 2 z = - 2$
140804	Solve Using a Matrix by Elimination	2x+y=3 , 3x-2y=8	$2 x + y = 3$ , $3 x - 2 y = 8$
140805	Solve Using a Matrix by Elimination	2x+y=411x+6y=3	$2 x + y = 411 x + 6 y = 3$
140806	Solve Using a Matrix by Elimination	2x+3y=6x+2y=5	$2 x + 3 y = 6 x + 2 y = 5$
140807	Solve Using a Matrix by Elimination	2x+3y=8 x-2y=-3	$2 x + 3 y = 8$ $x - 2 y = - 3$
140808	Solve Using a Matrix by Elimination	2x+2y+7z=92x+6y+5z=75x+2y+4z=9	$2 x + 2 y + 7 z = 92 x + 6 y + 5 z = 75 x + 2 y + 4 z = 9$
140809	Solve Using a Matrix by Elimination	2/x+3/y-2/z=-112/x-18/y+5/z=75/x+3/y-1/z=1	$\frac{2}{x} + \frac{3}{y} - \frac{2}{z} = - 1 \frac{12}{x} - \frac{18}{y} + \frac{5}{z} = 7 \frac{5}{x} + \frac{3}{y} - \frac{1}{z} = 1$
140810	Solve Using a Matrix by Elimination	3/10x-1/2y=7/10-6x+10y=-14	$\frac{3}{10} x - \frac{1}{2} y = \frac{7}{10} - 6 x + 10 y = - 14$
140811	Solve Using a Matrix by Elimination	-10x-3y=24x+y=0	$- 10 x - 3 y = 24 x + y = 0$
140812	Solve Using a Matrix by Elimination	-15x-3y=-396x+y=16	$- 15 x - 3 y = - 396 x + y = 16$
140813	Solve Using a Matrix by Elimination	-25x-3y=-1910x+y=8	$- 25 x - 3 y = - 1910 x + y = 8$
140814	Solve Using a Matrix by Elimination	-25x-3y=-119 , 10x+y=48	$- 25 x - 3 y = - 119$ , $10 x + y = 48$
140815	Solve Using a Matrix by Elimination	-25x-3y=-1010x+y=5	$- 25 x - 3 y = - 1010 x + y = 5$
140816	Solve Using a Matrix by Elimination	3x-y-z=3-2x+3y+z=-34x-2y-2z=2	$3 x - y - z = 3 - 2 x + 3 y + z = - 34 x - 2 y - 2 z = 2$
140817	Solve Using a Matrix by Elimination	3x-5y-4z=-19x-5y+8z=410y+4z=3	$3 x - 5 y - 4 z = - 19 x - 5 y + 8 z = 410 y + 4 z = 3$
140818	Solve Using a Matrix by Elimination	3x-7y=25 5x-8y=27	$3 x - 7 y = 25$ $5 x - 8 y = 27$
140819	Solve Using a Matrix by Elimination	3x-4y=3-6x+8y=-6	$3 x - 4 y = 3 - 6 x + 8 y = - 6$
140820	Solve Using a Matrix by Elimination	-3x-3y-3z=30-9x-9y-9z=90-1.5x-1.5y-1.5z=15	$- 3 x - 3 y - 3 z = 30 - 9 x - 9 y - 9 z = 90 - 1.5 x - 1.5 y - 1.5 z = 15$
140821	Solve Using a Matrix by Elimination	3x+y-z=3 , 8x+8y-7z=8	$3 x + y - z = 3$ , $8 x + 8 y - 7 z = 8$
140822	Solve Using a Matrix by Elimination	2x-3y-9z=-4x+3z=-5-3x+y-4z=13	$2 x - 3 y - 9 z = - 4 x + 3 z = - 5 - 3 x + y - 4 z = 13$
140823	Solve Using a Matrix by Elimination	2x-3y=4 -4x+6y=-8	$2 x - 3 y = 4$ $- 4 x + 6 y = - 8$
140824	Solve Using a Matrix by Elimination	2x-4y=83x-6y=12	$2 x - 4 y = 83 x - 6 y = 12$
140825	Solve Using a Matrix by Elimination	2x-5y=-4-3x-8y=-1	$2 x - 5 y = - 4 - 3 x - 8 y = - 1$
140826	Solve Using a Matrix by Elimination	2x-y=12x+4y=15	$2 x - y = 12 x + 4 y = 15$
140827	Solve Using a Matrix by Elimination	2x-6y=43x-9y=6	$2 x - 6 y = 43 x - 9 y = 6$
140828	Solve Using a Matrix by Elimination	2x-7y=2 , 14x+7y=22	$2 x - 7 y = 2$ , $14 x + 7 y = 22$
140829	Solve Using a Matrix by Elimination	3x+6y-z=8x+y+3z=5	$3 x + 6 y - z = 8 x + y + 3 z = 5$
140830	Solve Using a Matrix by Elimination	3x+5y-z=7x+y+2z=6	$3 x + 5 y - z = 7 x + y + 2 z = 6$
140831	Solve Using a Matrix by Elimination	3x+5y+2w=-122x+6z-w=-5-2y+3z-3w=-3-x+2y+4z+w=-2	$3 x + 5 y + 2 w = - 122 x + 6 z - w = - 5 - 2 y + 3 z - 3 w = - 3 - x + 2 y + 4 z + w = - 2$
140832	Convert to a Simplified Fraction	square root of 72	$\sqrt{72}$
140833	Cancel the Common Factors	(4x-8)/(x^2+3x-10)	$\frac{4 x - 8}{x^{2} + 3 x - 10}$
140834	Determine if Rational	- square root of 5	$- \sqrt{5}$
140835	Find Trig Functions Using Identities	cos(3x)=4cos(x)^3-3cos(x)	$\cos (3 x) = 4 \cos^{3} (x) - 3 \cos (x)$
140836	Find Trig Functions Using Identities	cos(arcsin(x))	$\cos (\arcsin (x))$
140837	Find Trig Functions Using Identities	cos(pi/3)cos(pi/5)+sin(pi/3)sin(pi/5)	$\cos (\frac{π}{3}) \cos (\frac{π}{5}) + \sin (\frac{π}{3}) \sin (\frac{π}{5})$
140838	Find Trig Functions Using Identities	1-2tan(x)^2=-tan(x)^2	$1 - 2 \tan^{2} (x) = - \tan^{2} (x)$
140839	Find Trig Functions Using Identities	13sin(x)^4	$13 \sin^{4} (x)$
140840	Find Trig Functions Using Identities	sin(a+b)+sin(a-b)	$\sin (a + b) + \sin (a - b)$
140841	Find Trig Functions Using Identities	sin(arcsin(x)+arccos(y))	$\sin (\arcsin (x) + \arccos (y))$
140842	Find Trig Functions Using Identities	sin(4x)	$\sin (4 x)$
140843	Find Trig Functions Using Identities	sec(x)=4 , sin(x)>0	$\sec (x) = 4$ , $\sin (x) > 0$
140844	Find Trig Functions Using Identities	sec(x/2)=cos(x/2)	$\sec (\frac{x}{2}) = \cos (\frac{x}{2})$
140845	Find Trig Functions Using Identities	cos(x)=( square root of 3)/2	$\cos (x) = \frac{\sqrt{3}}{2}$
140846	Find Trig Functions Using Identities	cot(x)cos(x)^2=2cot(x)	$\cot (x) \cos^{2} (x) = 2 \cot (x)$
140847	Find Trig Functions Using Identities	sin(x)(tan(x)+cot(x))	$\sin (x (\tan (x) + \cot (x)))$
140848	Find Trig Functions Using Identities	sin(X)=5/13	$\sin (X) = \frac{5}{13}$
140849	Find Trig Functions Using Identities	sin(x-y)	$\sin (x - y)$
140850	Find Trig Functions Using Identities	sin(y)sec(pi/2-y)	$\sin (y) \sec (\frac{π}{2} - y)$
140851	Find Trig Functions Using Identities	sin(x)=8/17	$\sin (x) = \frac{8}{17}$
140852	Reduce	(2x-4)/(2x)	$\frac{2 x - 4}{2 x}$
140853	Reduce	(2y^4-y^2-3y)/( square root of y)	$\frac{2 y^{4} - y^{2} - 3 y}{\sqrt{y}}$
140854	Reduce	(2t-8)/(16-t^2)	$\frac{2 t - 8}{16 - t^{2}}$
140855	Reduce	(-18x^3+17x+6)÷(3x+2)	$(- 18 x^{3} + 17 x + 6) \div (3 x + 2)$
140856	Reduce	(24x^2+28xk+4k^2)/(6x+6k)	$\frac{24 x^{2} + 28 x k + 4 k^{2}}{6 x + 6 k}$
140857	Reduce	( square root of xy^3)/( fourth root of x^3y)	$\frac{\sqrt{x y^{3}}}{\sqrt[4]{x^{3} y}}$
140858	Reduce	((2n-1)!)/((2n+1)!)	$\frac{(2 n - 1)!}{(2 n + 1)!}$
140859	Reduce	((2x)/y+1)/((2y)/x-1)	$\frac{\frac{2 x}{y} + 1}{\frac{2 y}{x} - 1}$
140860	Reduce	(((11-w)/(30w^2))/(w-11))/(5w^6)	$\frac{\frac{\frac{11 - w}{30 w^{2}}}{w - 11}}{5 w^{6}}$
140861	Reduce	(6/w+5/x)/(5/w-6/x)	$\frac{\frac{6}{w} + \frac{5}{x}}{\frac{5}{w} - \frac{6}{x}}$
140862	Reduce	(5^(-4x+7))/(125^x)	$\frac{5^{- 4 x + 7}}{125^{x}}$
140863	Reduce	(3y-9)/(3y)	$\frac{3 y - 9}{3 y}$
140864	Reduce	(3z^11+3z^5)/(z^12+4z^6+3)	$\frac{3 z^{11} + 3 z^{5}}{z^{12} + 4 z^{6} + 3}$
140865	Reduce	(3z^6+21z^4)/(z^4+11z^2+28)	$\frac{3 z^{6} + 21 z^{4}}{z^{4} + 11 z^{2} + 28}$
140866	Reduce	(3x-27)/(4x-36)	$\frac{3 x - 27}{4 x - 36}$
140867	Reduce	(6t-24)/(16-t^2)	$\frac{6 t - 24}{16 - t^{2}}$
140868	Reduce	(6a+12)/(a+2)	$\frac{6 a + 12}{a + 2}$
140869	Reduce	(6-x)/(6x-36)	$\frac{6 - x}{6 x - 36}$
140870	Reduce	(6y^3+2y^2)/(10y^2)	$\frac{6 y^{3} + 2 y^{2}}{10 y^{2}}$
140871	Reduce	(5t-25)/(t^2-25)	$\frac{5 t - 25}{t^{2} - 25}$
140872	Reduce	(5t-5)/(1-t^2)	$\frac{5 t - 5}{1 - t^{2}}$
140873	Reduce	((9x^2-1)/(12x^2-12x))÷((9x^2+12x+3)/(3x^2-6x+3))	$\frac{9 x^{2} - 1}{12 x^{2} - 12 x} \div \frac{9 x^{2} + 12 x + 3}{3 x^{2} - 6 x + 3}$
140874	Reduce	(9x^4+3x^3y-5x^2y^2+xy^3)÷(3x^3+2x^2y-xy^2)	$(9 x^{4} + 3 x^{3} y - 5 x^{2} y^{2} + x y^{3}) \div (3 x^{3} + 2 x^{2} y - x y^{2})$
140875	Reduce	(-8x^2-48xy-72y^2)/(2x^2-18y^2)	$\frac{- 8 x^{2} - 48 x y - 72 y^{2}}{2 x^{2} - 18 y^{2}}$
140876	Reduce	7-2z-4(z^3-(z^3+4z^2+11z+14)/(z+2))	$7 - 2 z - 4 (z^{3} - \frac{z^{3} + 4 z^{2} + 11 z + 14}{z + 2})$
140877	Find Trig Functions Using Identities	(1+sin(x))(1-sin(x))=cos(x)^2	$(1 + \sin (x)) (1 - \sin (x)) = \cos^{2} (x)$
140878	Find Trig Functions Using Identities	1-2sin(3x)^2	$1 - 2 \sin^{2} (3 x)$
140879	Reduce	(r^2-r-6)/((r-2)(r-3))	$\frac{r^{2} - r - 6}{(r - 2) (r - 3)}$
140880	Reduce	x/(x^2-5x)	$\frac{x}{x^{2} - 5 x}$
140881	Reduce	((x^2+5x+6)/(x-6))÷((x^2-9)/(2x-12))	$\frac{x^{2} + 5 x + 6}{x - 6} \div \frac{x^{2} - 9}{2 x - 12}$
140882	Reduce	(x^2-2xy+y^2)/(x-y)	$\frac{x^{2} - 2 x y + y^{2}}{x - y}$
140883	Reduce	(x^2-4)/(x^2-4x+4)	$\frac{x^{2} - 4}{x^{2} - 4 x + 4}$
140884	Reduce	(x^4+8x^2+7)/(3x^5-3x)	$\frac{x^{4} + 8 x^{2} + 7}{3 x^{5} - 3 x}$
140885	Reduce	((x^2-9)/(x+1))÷((x^2-6x+9)/(7x+7))	$\frac{x^{2} - 9}{x + 1} \div \frac{x^{2} - 6 x + 9}{7 x + 7}$
140886	Reduce	(y^2-9)/(4y+12)	$\frac{y^{2} - 9}{4 y + 12}$
140887	Reduce	(y^3+27)/(y^3-3y^2+9y)	$\frac{y^{3} + 27}{y^{3} - 3 y^{2} + 9 y}$
140888	Reduce	(y^2+3y-10)/(y^2+7y-18)	$\frac{y^{2} + 3 y - 10}{y^{2} + 7 y - 18}$
140889	Convert to Rectangular	9(cos(pi/18)+isin(pi/18))	$9 (\cos (\frac{π}{18}) + i \sin (\frac{π}{18}))$
140890	Convert to Rectangular	8(cos((5pi)/4)+isin((5pi)/4))	$8 (\cos (\frac{5 π}{4}) + i \sin (\frac{5 π}{4}))$
140891	Convert to Rectangular	8(cos(225)+isin(225))	$8 (\cos (225) + i \sin (225))$
140892	Convert to Rectangular	8(cos(pi/9)+isin(pi/9))	$8 (\cos (\frac{π}{9}) + i \sin (\frac{π}{9}))$
140893	Convert to Rectangular	64(cos(90)+isin(90))	$64 (\cos (90) + i \sin (90))$
140894	Convert to Rectangular	6(cos(180)+isin(180))	$6 (\cos (180) + i \sin (180))$
140895	Convert to Rectangular	6(cos(225)+isin(225))	$6 (\cos (225) + i \sin (225))$
140896	Convert to Rectangular	5(cos(-60)+isin(-60))	$5 (\cos (- 60) + i \sin (- 60))$
140897	Convert to Rectangular	5(cos((7pi)/4)+isin((7pi)/4))	$5 (\cos (\frac{7 π}{4}) + i \sin (\frac{7 π}{4}))$
140898	Convert to Rectangular	-5(cos(pi/2)+isin(pi/2))	$- 5 (\cos (\frac{π}{2}) + i \sin (\frac{π}{2}))$
140899	Convert to Rectangular	4(cos(45)+isin(45))	$4 (\cos (45) + i \sin (45))$
140900	Convert to Rectangular	6(cos((7pi)/6)+isin((7pi)/6))	$6 (\cos (\frac{7 π}{6}) + i \sin (\frac{7 π}{6}))$