Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
133801	Find the Eccentricity	x^2+4y^2=16	$x^{2} + 4 y^{2} = 16$
133802	Find Any Equation Perpendicular to the Line	y=1/4x-1	$y = \frac{1}{4} x - 1$
133803	Find Any Equation Perpendicular to the Line	17x+2y=0	$17 x + 2 y = 0$
133804	Find Any Equation Perpendicular to the Line	y=9x-7	$y = 9 x - 7$
133805	Find Any Equation Perpendicular to the Line	y=x-2	$y = x - 2$
133806	Find the Local Maxima and Minima	f(x)=x(50-x)	$f (x) = x (50 - x)$
133807	Reduce	x/(x^2+4x-5)-x/(x^2-4x+3)-7/(x^2+2x-15)	$\frac{x}{x^{2} + 4 x - 5} - \frac{x}{x^{2} - 4 x + 3} - \frac{7}{x^{2} + 2 x - 15}$
133808	Find Trig Functions Using Identities	1+cos(x)^2	$1 + \cos^{2} (x)$
133809	Reduce	2-(x^2+10xy+7y^2)/(x^2+4xy+4y^2)	$2 - \frac{x^{2} + 10 x y + 7 y^{2}}{x^{2} + 4 x y + 4 y^{2}}$
133810	Reduce	(3t-9)/(t^2-9)	$\frac{3 t - 9}{t^{2} - 9}$
133811	Reduce	(3x^2y^2-6xz)/(6x^2yz)	$\frac{3 x^{2} y^{2} - 6 x z}{6 x^{2} y z}$
133812	Reduce	(9 1/2r5/2t)/(rt1/2)	$\frac{9 \frac{1}{2} r \frac{5}{2} t}{r t \frac{1}{2}}$
133813	Reduce	(5x)/(35x^2-5x)	$\frac{5 x}{35 x^{2} - 5 x}$
133814	Reduce	(2t-2)/(t^2-1)	$\frac{2 t - 2}{t^{2} - 1}$
133815	Reduce	(187+6z-z^2)/(z^2-21z+68)	$\frac{187 + 6 z - z^{2}}{z^{2} - 21 z + 68}$
133816	Find Trig Functions Using Identities	tan(x)csc(x)=1/(f(x))	$\tan (x) \csc (x) = \frac{1}{f (x)}$
133817	Find the Trig Value	(-7,24)	$(- 7, 24)$
133818	Find the Variables	[[0.9,1],[1,82]][[x],[y]]=[[5],[95]]	$[\begin{array}{c} 0.9 & 1 \\ 1 & 82 \end{array}] [\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} 5 \\ 95 \end{array}]$
133819	Find the Variables	[[x+9,-2,-9y],[8,-2x,-7],[1,y-5,6]]=[[10x+0,-2,-36],[8,-2,-7],[1,-1,6]]	$[\begin{array}{c} x + 9 & - 2 & - 9 y \\ 8 & - 2 x & - 7 \\ 1 & y - 5 & 6 \end{array}] = [\begin{array}{c} 10 x + 0 & - 2 & - 36 \\ 8 & - 2 & - 7 \\ 1 & - 1 & 6 \end{array}]$
133820	Find the Trig Value	tan(x)=1/2	$\tan (x) = \frac{1}{2}$
133821	Find the Trig Value	sin(pi/6)	$\sin (\frac{π}{6})$
133822	Find the Slope and y-intercept	(-6,-6) , (4,-2)	$(- 6, - 6)$ , $(4, - 2)$
133823	Find the Slope and y-intercept	(8,9) , (16,y)	$(8, 9)$ , $(16, y)$
133824	Find the Slope and y-intercept	(0,1) , (-2,-5)	$(0, 1) (- 2, - 5)$
133825	Find the Slope and y-intercept	(0,1) , (1,0)	$(0, 1)$ , $(1, 0)$
133826	Find the Slope and y-intercept	(-1,4) , (3,8)	$(- 1, 4)$ , $(3, 8)$
133827	Find the LCD	(9y)/(4y+5)+(8y^2)/(6y+5)	$\frac{9 y}{4 y + 5} + \frac{8 y^{2}}{6 y + 5}$
133828	Find the LCD	(9y^2)/(y^2+2y+1)(36y)/(y^2-1)	$\frac{9 y^{2}}{y^{2} + 2 y + 1} \frac{36 y}{y^{2} - 1}$
133829	Find the LCD	5/(9m^2n)	$\frac{5}{9 m^{2} n}$
133830	Find the LCD	(3x^2-5x+4)/(4x)-(3x^2-9x+4)/(4x)	$\frac{3 x^{2} - 5 x + 4}{4 x} - \frac{3 x^{2} - 9 x + 4}{4 x}$
133831	Find the LCD	-1/(x^2-5x-14)7/(x^2-16)	$\frac{- 1}{x^{2} - 5 x - 14} \frac{7}{x^{2} - 16}$
133832	Find the Equation of the Parabola	(0,11) , (3,2) , (-1,18)	$(0, 11)$ , $(3, 2)$ , $(- 1, 18)$
133833	Find the Domain	(fg)(x)	$(f g) (x)$
133834	Find the Equation of the Parabola	(-10,-28) , (-6,-21) , (-2,-14)	$(- 10, - 28)$ , $(- 6, - 21)$ , $(- 2, - 14)$
133835	Find the Equation of the Parabola	(7,11) , (10,-16) , (0,4)	$(7, 11)$ , $(10, - 16)$ , $(0, 4)$
133836	Solve the Triangle	[[8,x],[2,5]]=32	$[\begin{array}{c} 8 & x \\ 2 & 5 \end{array}] = 32$
133837	Solve the Matrix Equation	[[2,5],[3,8]]x=[[3,-1],[4,3]]	$[\begin{array}{c} 2 & 5 \\ 3 & 8 \end{array}] x = [\begin{array}{c} 3 & - 1 \\ 4 & 3 \end{array}]$
133838	Solve the Matrix Equation	1/3x-[[16,4,2],[8,1,6],[9,-2,1]]=[[-4,-8,3],[-2,12,10],[-9,3,1]]	$\frac{1}{3} x - [\begin{array}{c} 16 & 4 & 2 \\ 8 & 1 & 6 \\ 9 & - 2 & 1 \end{array}] = [\begin{array}{c} - 4 & - 8 & 3 \\ - 2 & 12 & 10 \\ - 9 & 3 & 1 \end{array}]$
133839	Find the Function Rule	table[[x,y],[1,15],[2,45],[3,135]]	$\begin{array}{c} x & y \\ 1 & 15 \\ 2 & 45 \\ 3 & 135 \end{array}$
133840	Find the Function Rule	table[[x,y],[0,-3],[1,-6],[2,-12]]	$\begin{array}{c} x & y \\ 0 & - 3 \\ 1 & - 6 \\ 2 & - 12 \end{array}$
133841	Find the Function Rule	table[[x,y],[0,4],[1,8],[2,16]]	$\begin{array}{c} x & y \\ 0 & 4 \\ 1 & 8 \\ 2 & 16 \end{array}$
133842	Solve the Matrix Equation	[[4,-21],[13,6],[8,-9]]+x=[[7,-16],[12,19],[1,0]]	$[\begin{array}{c} 4 & - 21 \\ 13 & 6 \\ 8 & - 9 \end{array}] + x = [\begin{array}{c} 7 & - 16 \\ 12 & 19 \\ 1 & 0 \end{array}]$
133843	Solve the Matrix Equation	[[6,8],[-11,15]]-[[c+2,3],[-5,d-4]]=[[22,5],[-6,17]]	$[\begin{array}{c} 6 & 8 \\ - 11 & 15 \end{array}] - [\begin{array}{c} c + 2 & 3 \\ - 5 & d - 4 \end{array}] = [\begin{array}{c} 22 & 5 \\ - 6 & 17 \end{array}]$
133844	Solve the Matrix Equation	-5X+[[5,5],[2,-1],[-8,16]]=[[10,-25],[17,-31],[-23,11]]	$- 5 X + [\begin{array}{c} 5 & 5 \\ 2 & - 1 \\ - 8 & 16 \end{array}] = [\begin{array}{c} 10 & - 25 \\ 17 & - 31 \\ - 23 & 11 \end{array}]$
133845	Solve the Matrix Equation	6x+[[-20,-9,6],[-4,-22,-4],[9,-30,10]]=[[10,27,12],[20,20,14],[-9,6,-32]]	$6 x + [\begin{array}{c} - 20 & - 9 & 6 \\ - 4 & - 22 & - 4 \\ 9 & - 30 & 10 \end{array}] = [\begin{array}{c} 10 & 27 & 12 \\ 20 & 20 & 14 \\ - 9 & 6 & - 32 \end{array}]$
133846	Solve the Matrix Equation	x-[[1,-1],[4,-3],[3,12]]=[[8,-2],[1,6],[-5,15]]	$x - [\begin{array}{c} 1 & - 1 \\ 4 & - 3 \\ 3 & 12 \end{array}] = [\begin{array}{c} 8 & - 2 \\ 1 & 6 \\ - 5 & 15 \end{array}]$
133847	Solve the Matrix Equation	-2x+[[14,12,9],[7,8,2]]=[[-8,32,-13],[19,-14,-6]]	$- 2 x + [\begin{array}{c} 14 & 12 & 9 \\ 7 & 8 & 2 \end{array}] = [\begin{array}{c} - 8 & 32 & - 13 \\ 19 & - 14 & - 6 \end{array}]$
133848	Solve the Matrix Equation	x-[[1,-19,3],[16,-4,8]]=[[1,-14,3],[12,-19,1]]	$x - [\begin{array}{c} 1 & - 19 & 3 \\ 16 & - 4 & 8 \end{array}] = [\begin{array}{c} 1 & - 14 & 3 \\ 12 & - 19 & 1 \end{array}]$
133849	Find the LCM	7a^2 , 9ab^3 , 21abc^4	$7 a^{2}$ , $9 a b^{3}$ , $21 a b c^{4}$
133850	Find the LCM	2 , 10 , 6	$2$ , $10$ , $6$
133851	Find the LCM	15 , 10 , 25	$15$ , $10$ , $25$
133852	Find the LCM	15 , 10 , 3	$15$ , $10$ , $3$
133853	Find the LCM	12 , 9 , 2	$12$ , $9$ , $2$
133854	Find the LCM	3x(x+2) , 6x(2x-3)	$3 x (x + 2)$ , $6 x (2 x - 3)$
133855	Find the Prime Factorization	183	$183$
133856	Find the Perpendicular Line	y=-0.3x+6 (3,-8)	$y = - 0.3 x + 6$ $(3, - 8)$
133857	Simplify the Matrix	-2[[-3,2],[6,-9]]+[[1],[-5]]*[[-4,7]]	$- 2 [\begin{array}{c} - 3 & 2 \\ 6 & - 9 \end{array}] + [\begin{array}{c} 1 \\ - 5 \end{array}] \cdot [\begin{array}{c} - 4 & 7 \end{array}]$
133858	Find the Slope and y-intercept	f(x)=1/2x-4	$f (x) = \frac{1}{2} x - 4$
133859	Find the Slope and y-intercept	f(x)=2/3x-6	$f (x) = \frac{2}{3} x - 6$
133860	Find the Slope and y-intercept	f(x)=-2.5x+50	$f (x) = - 2.5 x + 50$
133861	Find the Equation that Relates x and y	x=6 , y=-5	$x = 6$ , $y = - 5$
133862	Find the Slope and y-intercept	f(x)=9x-5	$f (x) = 9 x - 5$
133863	Find the Slope and y-intercept	f(x)=3x+7	$f (x) = 3 x + 7$
133864	Convert to Rectangular	3(cos(270)+isin(270))	$3 (\cos (270) + i \sin (270))$
133865	Convert to Rectangular	3(cos(120)+isin(120))	$3 (\cos (120) + i \sin (120))$
133866	Convert to Rectangular	(7(cos(30)+isin(30)))^3	${(7 (\cos (30) + i \sin (30)))}^{3}$
133867	Convert to Rectangular	10(cos(pi/2)+isin(pi/2))	$10 (\cos (\frac{π}{2}) + i \sin (\frac{π}{2}))$
133868	Convert to Rectangular	(- square root of 3-i)^6	${(- \sqrt{3} - i)}^{6}$
133869	Convert to Rectangular	rcsc(theta)=8	$r \csc (θ) = 8$
133870	Convert to Rectangular	z=2(cos((7pi)/6)+isin((7pi)/6))	$z = 2 (\cos (\frac{7 π}{6}) + i \sin (\frac{7 π}{6}))$
133871	Convert to Rectangular	rsin(theta)=8	$r \sin (θ) = 8$
133872	Convert to Rectangular	6(cos(135)+isin(135))	$6 (\cos (135) + i \sin (135))$
133873	Convert to Rectangular	9(cos(pi)+isin(pi))	$9 (\cos (π) + i \sin (π))$
133874	Find the 5th Term	1 , 4 , 9 , 16	$1$ , $4$ , $9$ , $16$
133875	Find the 5th Term	7 , 21 , 63 , 189	$7$ , $21$ , $63$ , $189$
133876	Find the 6th Term	1/3 , 1 , 3 , 9	$\frac{1}{3}$ , $1$ , $3$ , $9$
133877	Find the 6th Term	4 , 13 , 22 , 31	$4$ , $13$ , $22$ , $31$
133878	Find the 5th Term	5 , 13/3 , 11/3	$5$ , $\frac{13}{3}$ , $\frac{11}{3}$
133879	Find the 5th Term	-4 , 8 , -16 , 32	$- 4$ , $8$ , $- 16$ , $32$
133880	Find the 5th Term	4 , 9 , 14 , 19	$4$ , $9$ , $14$ , $19$
133881	Find the 5th Term	3 , 9 , 15 , 21	$3$ , $9$ , $15$ , $21$
133882	Find the 5th Term	4 , 4/5 , 4/25	$4$ , $\frac{4}{5}$ , $\frac{4}{25}$
133883	Find the 7th Term	1 , 1/8 , 1/27 , 1/64 , 1/(n^3)	$1$ , $\frac{1}{8}$ , $\frac{1}{27}$ , $\frac{1}{64}$ , $\frac{1}{n^{3}}$
133884	Find the 6th Term	8 , 4 , 2 , 1	$8$ , $4$ , $2$ , $1$
133885	Find the 7th Term	0.2 , 1 , 5 , 25 , 125	$0.2$ , $1$ , $5$ , $25$ , $125$
133886	Find the Second Term	a(n)=-6+(n-1)(1/5)	$a (n) = - 6 + (n - 1) (\frac{1}{5})$
133887	Find the Fourth Term	-7 , 14 , -28	$- 7$ , $14$ , $- 28$
133888	Find the Second Term	a_n=6n-2	$a_{n} = 6 n - 2$
133889	Find the Second Term	a_n=5n-8	$a_{n} = 5 n - 8$
133890	Find the Second Term	a_n=7^n	$a_{n} = 7^{n}$
133891	Find the Second Term	a_n=7n-3	$a_{n} = 7 n - 3$
133892	Find the Third Term	a_n=5*2^(n-1)	$a_{n} = 5 \cdot 2^{(n - 1)}$
133893	Find the Degree	f(x)=6x+x^3	$f (x) = 6 x + x^{3}$
133894	Find the Degree	F(x)=x^5-9x^3+2x^2-4x+10	$F (x) = x^{5} - 9 x^{3} + 2 x^{2} - 4 x + 10$
133895	Determine if a Polynomial	3x+6	$3 x + 6$
133896	Determine if a Polynomial	27m^3+216n^3	$27 m^{3} + 216 n^{3}$
133897	Determine if a Polynomial	-10x	$- 10 x$
133898	Determine if a Polynomial	(x-7+11i)	$(x - 7 + 11 i)$
133899	Determine if a Polynomial	x^2+2 square root of x+1	$x^{2} + 2 \sqrt{x} + 1$
133900	Determine if a Polynomial	9x^3	$9 x^{3}$