Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
153001	Find the Distance Between Two Points	(-6,-1) , (-2,6)	$(- 6, - 1) (- 2, 6)$
153002	Find the Distance Between Two Points	(6,2) , (0,-6)	$(6, 2)$ , $(0, - 6)$
153003	Find the Distance Between Two Points	(7,-1) , (3,8)	$(7, - 1) (3, 8)$
153004	Find the Distance Between Two Points	(-6,7) , (2,-8)	$(- 6, 7) (2, - 8)$
153005	Find the Distance Between Two Points	(6,-7) , (3,-5)	$(6, - 7)$ , $(3, - 5)$
153006	Find the Distance Between Two Points	(7,-1) , (9,-9)	$(7, - 1) (9, - 9)$
153007	Find the Distance Between Two Points	(-5,3) , (0,1)	$(- 5, 3) (0, 1)$
153008	Find the Distance Between Two Points	(-5,2) , (4,-8)	$(- 5, 2) (4, - 8)$
153009	Find the Distance Between Two Points	(5,2) , (1,4)	$(5, 2)$ , $(1, 4)$
153010	Find the Distance Between Two Points	(-5,-1) , (0,2)	$(- 5, - 1) (0, 2)$
153011	Find the Distance Between Two Points	(5,0) , (9,-1)	$(5, 0) (9, - 1)$
153012	Find the Distance Between Two Points	(-5,0) , (5,4)	$(- 5, 0)$ , $(5, 4)$
153013	Find the Distance Between Two Points	(5,8) , (10,20)	$(5, 8)$ , $(10, 20)$
153014	Find the Distance Between Two Points	(5,-3) , (3,1)	$(5, - 3) (3, 1)$
153015	Find the Distance Between Two Points	(-5,4) , (3,1)	$(- 5, 4)$ , $(3, 1)$
153016	Find the Distance Between Two Points	(5,-4) , (0,8)	$(5, - 4) (0, 8)$
153017	Find a,b,c	4x^2+5x-2=0	$4 x^{2} + 5 x - 2 = 0$
153018	Find a,b,c	x^2-8x=0	$x^{2} - 8 x = 0$
153019	Find the Expanded Form	(x+9)^2+(y-10)^2=100	${(x + 9)}^{2} + {(y - 10)}^{2} = 100$
153020	Find the Expanded Form	(x-0)^2+(y-0)^2=9^2	${(x - 0)}^{2} + {(y - 0)}^{2} = 9^{2}$
153021	Find a,b,c	2x^2+5x-3=0	$2 x^{2} + 5 x - 3 = 0$
153022	Find the Distance Between Two Points	(-3,-1) , (-2,3)	$C (- 3, - 1)$ , $Q (- 2, 3)$
153023	Find the Distance Between Two Points	(-9,-9) , (-6,0)	$(- 9, - 9) (- 6, 0)$
153024	Find the Distance Between Two Points	(m,0) , (n,0)	$(m, 0) (n, 0)$
153025	Find the Distance Between Two Points	(9,2) , (-3,9)	$(9, 2) (- 3, 9)$
153026	Find the Distance Between Two Points	(8,-3) , (6,-8)	$(8, - 3) (6, - 8)$
153027	Find the Distance Between Two Points	(-7,8) , (-2,2)	$(- 7, 8) (- 2, 2)$
153028	Find the Distance Between Two Points	(-8,0) , (-2,1)	$(- 8, 0) (- 2, 1)$
153029	Split Using Partial Fraction Decomposition	(x^2-2x+5)/(x^4+x^3-2x^2)	$\frac{x^{2} - 2 x + 5}{x^{4} + x^{3} - 2 x^{2}}$
153030	Split Using Partial Fraction Decomposition	x/(x^2+6x-27)	$\frac{x}{x^{2} + 6 x - 27}$
153031	Split Using Partial Fraction Decomposition	x/(x^2+9x+14)	$\frac{x}{x^{2} + 9 x + 14}$
153032	Split Using Partial Fraction Decomposition	x/(x^2+12x+27)	$\frac{x}{x^{2} + 12 x + 27}$
153033	Split Using Partial Fraction Decomposition	x/(x^2+13x+40)	$\frac{x}{x^{2} + 13 x + 40}$
153034	Split Using Partial Fraction Decomposition	(8x-48)/((x+3)(x-5))	$\frac{8 x - 48}{(x + 3) (x - 5)}$
153035	Split Using Partial Fraction Decomposition	(5x-7)/((x-2)^2)	$\frac{5 x - 7}{{(x - 2)}^{2}}$
153036	Split Using Partial Fraction Decomposition	(5x-7)/(x^2-x-20)	$\frac{5 x - 7}{x^{2} - x - 20}$
153037	Split Using Partial Fraction Decomposition	(6x^2+4x+28)/(x^3-8)	$\frac{6 x^{2} + 4 x + 28}{x^{3} - 8}$
153038	Split Using Partial Fraction Decomposition	(6x^2+6x+24)/(x^3-8)	$\frac{6 x^{2} + 6 x + 24}{x^{3} - 8}$
153039	Split Using Partial Fraction Decomposition	(4x-1)/(x(x^2+2))	$\frac{4 x - 1}{x (x^{2} + 2)}$
153040	Split Using Partial Fraction Decomposition	(4x^2+4x+33)/(x^3-27)	$\frac{4 x^{2} + 4 x + 33}{x^{3} - 27}$
153041	Split Using Partial Fraction Decomposition	(4x^2-x+2)/((x+1)(x^2+6))	$\frac{4 x^{2} - x + 2}{(x + 1) (x^{2} + 6)}$
153042	Split Using Partial Fraction Decomposition	(2x)/((x-1)^3)	$\frac{2 x}{{(x - 1)}^{3}}$
153043	Split Using Partial Fraction Decomposition	(3x^2-8x-3)/(x^3-x)	$\frac{3 x^{2} - 8 x - 3}{x^{3} - x}$
153044	Split Using Partial Fraction Decomposition	(2x-5)/(x^2-4x-12)	$\frac{2 x - 5}{x^{2} - 4 x - 12}$
153045	Find Amplitude, Period, and Phase Shift	f(x)=3cos(x+pi/2)	$f (x) = 3 \cos (x + \frac{π}{2})$
153046	Find Amplitude, Period, and Phase Shift	f(x)=3cos(3pix-pi)	$f (x) = 3 \cos (3 π x - π)$
153047	Find Amplitude, Period, and Phase Shift	f(x)=4cos(3x)	$f (x) = 4 \cos (3 x)$
153048	Find Amplitude, Period, and Phase Shift	f(x)=4cot(2x)	$f (x) = 4 \cot (2 x)$
153049	Find Amplitude, Period, and Phase Shift	f(x)=-cos(2x+(3pi)/2)-5	$f (x) = - \cos (2 x + \frac{3 π}{2}) - 5$
153050	Find Amplitude, Period, and Phase Shift	f(x)=5sin(pi/6x)	$f (x) = 5 \sin (\frac{π}{6} x)$
153051	Find Amplitude, Period, and Phase Shift	f(x)=3tan(2x-6pi)	$f (x) = 3 \tan (2 x - 6 π)$
153052	Find Amplitude, Period, and Phase Shift	g(x)=-sin(4pix)	$g (x) = - \sin (4 π x)$
153053	Find Amplitude, Period, and Phase Shift	g(x)=1/4cos(x)	$g (x) = \frac{1}{4} \cos (x)$
153054	Find Amplitude, Period, and Phase Shift	f(x)=2sin(1/3x)+3pi	$f (x) = 2 \sin (\frac{1}{3} x) + 3 π$
153055	Find Amplitude, Period, and Phase Shift	f(x)=1/2sin(3x-9)+2	$f (x) = \frac{1}{2} \sin (3 x - 9) + 2$
153056	Find Amplitude, Period, and Phase Shift	f(t)=2sin(2x)+1	$f (t) = 2 \sin (2 x) + 1$
153057	Find Amplitude, Period, and Phase Shift	f(t)=3sin((5t)/2)	$f (t) = 3 \sin (\frac{5 t}{2})$
153058	Determine the Possible Number of Real Roots	f(x)=2x^14-14x^6+27x^3-13x+12	$f (x) = 2 x^{14} - 14 x^{6} + 27 x^{3} - 13 x + 12$
153059	Multiply the Matrices	[[-5,-18],[2,7]][[7,-18],[-2,-5]]	$[\begin{array}{c} - 5 & - 18 \\ 2 & 7 \end{array}] [\begin{array}{c} 7 & - 18 \\ - 2 & - 5 \end{array}]$
153060	Multiply the Matrices	[[5,7,2],[4,-1,3],[6,8,-5]][[6,11,-4],[2,1,-5],[3,-9,6]]	$[\begin{array}{c} 5 & 7 & 2 \\ 4 & - 1 & 3 \\ 6 & 8 & - 5 \end{array}] [\begin{array}{c} 6 & 11 & - 4 \\ 2 & 1 & - 5 \\ 3 & - 9 & 6 \end{array}]$
153061	Multiply the Matrices	[[7,84],[7,-38]][[-7],[-9],[3]]	$[\begin{array}{c} 7 & 84 \\ 7 & - 38 \end{array}] [\begin{array}{c} - 7 \\ - 9 \\ 3 \end{array}]$
153062	Multiply the Matrices	F=[[-2,0],[0,8],[2,1]]C=[[12,0,3/2],[1,-6,7]]	$F = [\begin{array}{c} - 2 & 0 \\ 0 & 8 \\ 2 & 1 \end{array}] C = [\begin{array}{c} 12 & 0 & \frac{3}{2} \\ 1 & - 6 & 7 \end{array}]$
153063	Multiply the Matrices	[[-2,3],[1,-2]]*[[3,-1],[2,-2]]	$[\begin{array}{c} - 2 & 3 \\ 1 & - 2 \end{array}] \cdot [\begin{array}{c} 3 & - 1 \\ 2 & - 2 \end{array}]$
153064	Multiply the Matrices	[[1,4],[3,2]][[8],[1]]=	$[\begin{array}{c} 1 & 4 \\ 3 & 2 \end{array}] [\begin{array}{c} 8 \\ 1 \end{array}] =$
153065	Multiply the Matrices	[[16],[-15],[15]][[19,2]]	$[\begin{array}{c} 16 \\ - 15 \\ 15 \end{array}] [\begin{array}{c} 19 & 2 \end{array}]$
153066	Multiply the Matrices	[[2,0,-9],[5,7,8]][[2,1,4],[3,-1,2],[5,-4,0]]	$[\begin{array}{c} 2 & 0 & - 9 \\ 5 & 7 & 8 \end{array}] [\begin{array}{c} 2 & 1 & 4 \\ 3 & - 1 & 2 \\ 5 & - 4 & 0 \end{array}]$
153067	Multiply the Matrices	[[2,8,1],[0,5,-2]]*[[5,2,1]]	$[\begin{array}{c} 2 & 8 & 1 \\ 0 & 5 & - 2 \end{array}] \cdot [\begin{array}{c} 5 & 2 & 1 \end{array}]$
153068	Multiply the Matrices	[[2,-4],[1,3]][[3,1]]	$[\begin{array}{c} 2 & - 4 \\ 1 & 3 \end{array}] [\begin{array}{c} 3 & 1 \end{array}]$
153069	Multiply the Matrices	[[4,-5],[-4,2],[-3,-9],[-5,8]][[-1,-9,8,-7],[-9,-1,-1,9]]	$[\begin{array}{c} 4 & - 5 \\ - 4 & 2 \\ - 3 & - 9 \\ - 5 & 8 \end{array}] [\begin{array}{c} - 1 & - 9 & 8 & - 7 \\ - 9 & - 1 & - 1 & 9 \end{array}]$
153070	Multiply the Matrices	[[0.995,0.02],[0.005,0.98]][[20000],[10000]]	$[\begin{array}{c} 0.995 & 0.02 \\ 0.005 & 0.98 \end{array}] [\begin{array}{c} 20000 \\ 10000 \end{array}]$
153071	Multiply the Matrices	[[-1,0,4],[2,0,0]][[-1,1],[-1,3],[2,4]]	$[\begin{array}{c} - 1 & 0 & 4 \\ 2 & 0 & 0 \end{array}] [\begin{array}{c} - 1 & 1 \\ - 1 & 3 \\ 2 & 4 \end{array}]$
153072	Multiply the Matrices	[[1,0,2],[-2,-1,0],[4,0,-3]][[2,1,3],[0,1,2],[5,0,1]]	$[\begin{array}{c} 1 & 0 & 2 \\ - 2 & - 1 & 0 \\ 4 & 0 & - 3 \end{array}] [\begin{array}{c} 2 & 1 & 3 \\ 0 & 1 & 2 \\ 5 & 0 & 1 \end{array}]$
153073	Multiply the Matrices	7/2[[-14,4],[4,0]]	$\frac{7}{2} [\begin{array}{c} - 14 & 4 \\ 4 & 0 \end{array}]$
153074	Multiply the Matrices	[[0,2,-6],[9,-1,0]]*[[1,-6],[0,-9],[-7,8]]	$[\begin{array}{c} 0 & 2 & - 6 \\ 9 & - 1 & 0 \end{array}] \cdot [\begin{array}{c} 1 & - 6 \\ 0 & - 9 \\ - 7 & 8 \end{array}]$
153075	Multiply the Matrices	[[-1,3],[1,6]][[0,-2,4],[1,-3,2]]	$[\begin{array}{c} - 1 & 3 \\ 1 & 6 \end{array}] [\begin{array}{c} 0 & - 2 & 4 \\ 1 & - 3 & 2 \end{array}]$
153076	Multiply the Matrices	[[1,2,-3],[2,-6,1],[4,2,5]][[46,2,-3],[-41,-6,1],[-11,2,5]]	$[\begin{array}{c} 1 & 2 & - 3 \\ 2 & - 6 & 1 \\ 4 & 2 & 5 \end{array}] [\begin{array}{c} 46 & 2 & - 3 \\ - 41 & - 6 & 1 \\ - 11 & 2 & 5 \end{array}]$
153077	Find All Complex Number Solutions	5x^3+x^2-7x+28=0	$5 x^{3} + x^{2} - 7 x + 28 = 0$
153078	Find the Other Trig Values in Quadrant I	csc(0)=3/2	$\csc (0) = \frac{3}{2}$
153079	Find the Other Trig Values in Quadrant I	cos(theta_1)=10/17	$\cos (θ_{1}) = \frac{10}{17}$
153080	Find the Other Trig Values in Quadrant I	sin(x)=4/15	$\sin (x) = \frac{4}{15}$
153081	Find All Complex Number Solutions	z=4+3i	$z = 4 + 3 i$
153082	Find All Complex Number Solutions	z=-5i	$z = - 5 i$
153083	Find All Complex Number Solutions	x^4-10x^2+9=0	$x^{4} - 10 x^{2} + 9 = 0$
153084	Find All Complex Number Solutions	x^4-29x^2+100=0	$x^{4} - 29 x^{2} + 100 = 0$
153085	Find All Complex Number Solutions	x=(5 plus or minus 2 square root of 7)/3	$x = \frac{5 \pm 2 \sqrt{7}}{3}$
153086	Find All Complex Number Solutions	x^2+5x-5=0	$x^{2} + 5 x - 5 = 0$
153087	Find All Complex Number Solutions	x^2-2x-8=0	$x^{2} - 2 x - 8 = 0$
153088	Find All Complex Number Solutions	12x^2-11x=11	$12 x^{2} - 11 x = 11$
153089	Find All Complex Number Solutions	2x^2-3x-5=0	$2 x^{2} - 3 x - 5 = 0$
153090	Find All Complex Number Solutions	3x^2-2x-5=0	$3 x^{2} - 2 x - 5 = 0$
153091	Find All Complex Number Solutions	3x^2-7x+2=0	$3 x^{2} - 7 x + 2 = 0$
153092	Find All Complex Number Solutions	-4x^2-20x-25=0	$- 4 x^{2} - 20 x - 25 = 0$
153093	Find All Complex Number Solutions	-5x+12=Px+Q	$- 5 x + 12 = P x + Q$
153094	Find the Other Trig Values in Quadrant II	cot(x)=-( square root of 5)/2	$\cot (x) = - \frac{\sqrt{5}}{2}$
153095	Find the Other Trig Values in Quadrant III	tan(x)=(5 square root of 11)/11	$\tan (x) = \frac{5 \sqrt{11}}{11}$
153096	Multiply the Matrices	[[1],[-3],[2]]*[[-1],[3],[-2]]	$[\begin{array}{c} 1 \\ - 3 \\ 2 \end{array}] \cdot [\begin{array}{c} - 1 \\ 3 \\ - 2 \end{array}]$
153097	Multiply the Matrices	[[1,4],[7,1]][[2,2],[4,3]]	$[\begin{array}{c} 1 & 4 \\ 7 & 1 \end{array}] [\begin{array}{c} 2 & 2 \\ 4 & 3 \end{array}]$
153098	Multiply the Matrices	[[-1,5,0],[2,-1,3]][[-3,2,2],[5,3,-1],[3,4,-3]]	$[\begin{array}{c} - 1 & 5 & 0 \\ 2 & - 1 & 3 \end{array}] [\begin{array}{c} - 3 & 2 & 2 \\ 5 & 3 & - 1 \\ 3 & 4 & - 3 \end{array}]$
153099	Multiply the Matrices	[[1,-5],[3,-6]][[3,0],[-4,1]]	$[\begin{array}{c} 1 & - 5 \\ 3 & - 6 \end{array}] [\begin{array}{c} 3 & 0 \\ - 4 & 1 \end{array}]$
153100	Multiply the Matrices	[[1,-4,3],[1,5,3],[0,-2,4]][[-11],[16],[-10]]	$[\begin{array}{c} 1 & - 4 & 3 \\ 1 & 5 & 3 \\ 0 & - 2 & 4 \end{array}] [\begin{array}{c} - 11 \\ 16 \\ - 10 \end{array}]$