Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
46001	Find the Expanded Form	((y-3)^2)/9-((x+2)^2)/1=1	$\frac{{(y - 3)}^{2}}{9} - \frac{{(x + 2)}^{2}}{1} = 1$
46002	Find the Distance Between Two Points	(3,1) , (0,4)	$y (3, 1)$ , $z (0, 4)$
46003	Find the Distance Between Two Points	( square root of 125, square root of 20) , (7,2 square root of 5)	$(\sqrt{125}, \sqrt{20})$ , $(7, 2 \sqrt{5})$
46004	Find the Distance Between Two Points	(-2,5) , (1,3)	$(- 2, 5) (1, 3)$
46005	Find the Expanded Form	(x-8)^2+(y+2)^2=1	${(x - 8)}^{2} + {(y + 2)}^{2} = 1$
46006	Find the End Behavior	f(x)=4- log of x	$f (x) = 4 - \log (x)$
46007	Find the Center	x^2+6x+4y+5=0	$x^{2} + 6 x + 4 y + 5 = 0$
46008	Find the Center	81x^2+y^2-324x+243=0	$81 x^{2} + y^{2} - 324 x + 243 = 0$
46009	Find the End Behavior	(x^2-2x-15)/(x^2-x-12)	$\frac{x^{2} - 2 x - 15}{x^{2} - x - 12}$
46010	Find the Center	x^2-6x+16y^2+96y+9=0	$x^{2} - 6 x + 16 y^{2} + 96 y + 9 = 0$
46011	Find the Center	x^2-6x+4y^2+16y+9=0	$x^{2} - 6 x + 4 y^{2} + 16 y + 9 = 0$
46012	Find the Center	16x^2+64x+4y^2-8y+4=0	$16 x^{2} + 64 x + 4 y^{2} - 8 y + 4 = 0$
46013	Find the Center	16x^2-160x+9y^2+54y+337=0	$16 x^{2} - 160 x + 9 y^{2} + 54 y + 337 = 0$
46014	Find the Center	((x-3)^2)/4+((y+2)^2)/49=1	$\frac{{(x - 3)}^{2}}{4} + \frac{{(y + 2)}^{2}}{49} = 1$
46015	Find the Center	(x^2)/28+(y^2)/64=1	$\frac{x^{2}}{28} + \frac{y^{2}}{64} = 1$
46016	Solve the Matrix Equation	2X-[[-4,9,10],[1,16,2]]=[[-22,-7,-1],[-4,-28,-18]]	$2 X - [\begin{array}{c} - 4 & 9 & 10 \\ 1 & 16 & 2 \end{array}] = [\begin{array}{c} - 22 & - 7 & - 1 \\ - 4 & - 28 & - 18 \end{array}]$
46017	Solve the Matrix Equation	[[-1,2,-6]]=[[-6,5,-4]]-X	$[\begin{array}{c} - 1 & 2 & - 6 \end{array}] = [\begin{array}{c} - 6 & 5 & - 4 \end{array}] - X$
46018	Find the Axis of Symmetry	p(x)=(x+4)^2-2	$p (x) = {(x + 4)}^{2} - 2$
46019	Find the Center	((x+4)^2)/16-((y+1)^2)/9=1	$\frac{{(x + 4)}^{2}}{16} - \frac{{(y + 1)}^{2}}{9} = 1$
46020	Find the Center	((x+7)^2)/36+((y-5)^2)/9=1	$\frac{{(x + 7)}^{2}}{36} + \frac{{(y - 5)}^{2}}{9} = 1$
46021	Find the Axis of Symmetry	(x-2)^2-1	${(x - 2)}^{2} - 1$
46022	Find Reduced Row Echelon Form	[[1,-3,1,0],[0,2,-1,0]]	$[\begin{array}{c} 1 & - 3 & 1 & 0 \\ 0 & 2 & - 1 & 0 \end{array}]$
46023	Find Reduced Row Echelon Form	[[1,0,0,31],[0,1,1,45],[0,0,1,87]]	$[\begin{array}{c} 1 & 0 & 0 & 31 \\ 0 & 1 & 1 & 45 \\ 0 & 0 & 1 & 87 \end{array}]$
46024	Find Reduced Row Echelon Form	[[2,2,2,2,2],[5,5,5,5,5]]	$[\begin{array}{c} 2 & 2 & 2 & 2 & 2 \\ 5 & 5 & 5 & 5 & 5 \end{array}]$
46025	Find Reduced Row Echelon Form	[[6,6,6,-2],[8,0,9,4],[3,9,0,2]]	$[\begin{array}{c} 6 & 6 & 6 & - 2 \\ 8 & 0 & 9 & 4 \\ 3 & 9 & 0 & 2 \end{array}]$
46026	Solve over the Interval	cos(x+pi/4)-cos(x-pi/4)=1 , [0,2pi)	$\cos (x + \frac{π}{4}) - \cos (x - \frac{π}{4}) = 1$ , $[0, 2 π)$
46027	Identify the Zeros and Their Multiplicities	x^3-x^2-x+1	$x^{3} - x^{2} - x + 1$
46028	Identify the Zeros and Their Multiplicities	x^4-x^3+2x^2-4x-8	$x^{4} - x^{3} + 2 x^{2} - 4 x - 8$
46029	Solve the Triangle	a=10 , b=9 , A=30 degrees	$a = 10$ , $b = 9$ , $A = 30 °$
46030	Solve the Triangle	a=140 degrees , b=10 , a=3	$a = 140 °$ , $b = 10$ , $a = 3$
46031	Solve the Triangle	a=23.7 , b=12.8 , c=11.3	$a = 23.7$ , $b = 12.8$ , $c = 11.3$
46032	Find the Vertex	(x- square root of 2)^2=4 square root of 2(y+ square root of 3)	${(x - \sqrt{2})}^{2} = 4 \sqrt{2} (y + \sqrt{3})$
46033	Find the Vertex	(x^2)/100+(y^2)/64=1	$\frac{x^{2}}{100} + \frac{y^{2}}{64} = 1$
46034	Find the Vertex	(x+1)^2=-12(y-6)	${(x + 1)}^{2} = - 12 (y - 6)$
46035	Find the Vertex	(x-3)^2=16(y+2)	${(x - 3)}^{2} = 16 (y + 2)$
46036	Find the Vertex	(x-4)^2=-12(y-1)	${(x - 4)}^{2} = - 12 (y - 1)$
46037	Find the Vertex	(x-4)^2=4(y+3)	${(x - 4)}^{2} = 4 (y + 3)$
46038	Find the Vertex	(x-2)^2=8(y+1)	${(x - 2)}^{2} = 8 (y + 1)$
46039	Find the Vertex	(y-1)^2=8(x-2)	${(y - 1)}^{2} = 8 (x - 2)$
46040	Find the Vertex	(y+5)^2=-12(x-2)	${(y + 5)}^{2} = - 12 (x - 2)$
46041	Find the Vertex	(y^2)/6-(x^2)/2=1	$\frac{y^{2}}{6} - \frac{x^{2}}{2} = 1$
46042	Find the Vertex	(y+ square root of 3)^2=4 square root of 2(x- square root of 2)	${(y + \sqrt{3})}^{2} = 4 \sqrt{2} (x - \sqrt{2})$
46043	Find the Vertex	(y+2)^2=12(x-4)	${(y + 2)}^{2} = 12 (x - 4)$
46044	Find the Vertex	x^2+6x-4y+1=0	$x^{2} + 6 x - 4 y + 1 = 0$
46045	Find the Vertex	x^2-36y=0	$x^{2} - 36 y = 0$
46046	Find the Vertex	x^2-4x=2y	$x^{2} - 4 x = 2 y$
46047	Find the Vertex	(y-4)^2=4(x+1)	${(y - 4)}^{2} = 4 (x + 1)$
46048	Find the Vertex	(y-4)^2=4(x+4)	${(y - 4)}^{2} = 4 (x + 4)$
46049	Find the Vertex	(y-3)^2=12(x+3)	${(y - 3)}^{2} = 12 (x + 3)$
46050	Find the Vertex	-12(y-6)^2=(x+5)	$- 12 {(y - 6)}^{2} = (x + 5)$
46051	Find the Vertex	y^2=5(x+2y)	$y^{2} = 5 (x + 2 y)$
46052	Find the Vertex	y^2=5x	$y^{2} = 5 x$
46053	Find the Vertex	y^2-6y=-x+4	$y^{2} - 6 y = - x + 4$
46054	Find the Vertex	y=-(x^2)/8+x/4+23/8	$y = - \frac{x^{2}}{8} + \frac{x}{4} + \frac{23}{8}$
46055	Find the Vertex	y=(x+2)^2-3	$y = {(x + 2)}^{2} - 3$
46056	Find the Vertex	y=-(x-3)(x+1)	$y = - (x - 3) (x + 1)$
46057	Find the Vertex	y=12x^2+48x+151	$y = 12 x^{2} + 48 x + 151$
46058	Find the Vertex	x=-2y^2+24y-68	$x = - 2 y^{2} + 24 y - 68$
46059	Find the Vertex	x^2-6x+y+8=0	$x^{2} - 6 x + y + 8 = 0$
46060	Find the Vertex	y^2=-15x	$y^{2} = - 15 x$
46061	Identify the Zeros and Their Multiplicities	(x+1)^2(x-2)^2	${(x + 1)}^{2} {(x - 2)}^{2}$
46062	Identify the Zeros and Their Multiplicities	3(x-4)(x+7)^2	$3 (x - 4) {(x + 7)}^{2}$
46063	Identify the Zeros and Their Multiplicities	f(x)=5x^4-x^3-15x^2+263x-52	$f (x) = 5 x^{4} - x^{3} - 15 x^{2} + 263 x - 52$
46064	Identify the Zeros and Their Multiplicities	f(x)=e^(8x-7)-5^(x-5)	$f (x) = e^{8 x - 7} - 5^{x - 5}$
46065	Identify the Zeros and Their Multiplicities	f(x)=2(x-1)(x+7)^2	$f (x) = 2 (x - 1) {(x + 7)}^{2}$
46066	Identify the Zeros and Their Multiplicities	f(x)=-2(x-2)^2(x+2)	$f (x) = - 2 {(x - 2)}^{2} (x + 2)$
46067	Identify the Zeros and Their Multiplicities	f(x)=3x^3-12x^2-15x	$f (x) = 3 x^{3} - 12 x^{2} - 15 x$
46068	Identify the Zeros and Their Multiplicities	f(x)=x^3+4x	$f (x) = x^{3} + 4 x$
46069	Identify the Zeros and Their Multiplicities	f(x)=x^2e^x-81e^x	$f (x) = x^{2} e^{x} - 81 e^{x}$
46070	Identify the Zeros and Their Multiplicities	f(x)=x^4-3x^3-2x^2+3x-5	$f (x) = x^{4} - 3 x^{3} - 2 x^{2} + 3 x - 5$
46071	Identify the Zeros and Their Multiplicities	f(x)=x^3-x^2-37x-35	$f (x) = x^{3} - x^{2} - 37 x - 35$
46072	Identify the Zeros and Their Multiplicities	f(x)=x^3-2x^2+2x	$f (x) = x^{3} - 2 x^{2} + 2 x$
46073	Identify the Zeros and Their Multiplicities	f(x)=x^3-3x^2-10x	$f (x) = x^{3} - 3 x^{2} - 10 x$
46074	Find the Vertex	y=x^2-8x+17	$y = x^{2} - 8 x + 17$
46075	Find the Vertex	y=-x^2-2x+1	$y = - x^{2} - 2 x + 1$
46076	Find the Vertex	y=x^2-10x+24	$y = x^{2} - 10 x + 24$
46077	Find the Vertex	y=x^2-2x-1	$y = x^{2} - 2 x - 1$
46078	Find the Vertex	y=x^2-2x-2	$y = x^{2} - 2 x - 2$
46079	Find the Vertex	y=x^2-6x	$y = x^{2} - 6 x$
46080	Find the Vertex	y=-x^2+2x+15	$y = - x^{2} + 2 x + 15$
46081	Find the Vertex	y=3x^2-12x+1	$y = 3 x^{2} - 12 x + 1$
46082	Find the Vertex	y=x^2+10x+23	$y = x^{2} + 10 x + 23$
46083	Find the Vertex	y=3x^2+18x+30	$y = 3 x^{2} + 18 x + 30$
46084	Find the Vertex	y^2=-9x	$y^{2} = - 9 x$
46085	Find the Vertex	y^2-2y=-x+1	$y^{2} - 2 y = - x + 1$
46086	Find the Vertex	y=-2x^2+8x-11	$y = - 2 x^{2} + 8 x - 11$
46087	Find the Vertex	y=-x^2+4x-2	$y = - x^{2} + 4 x - 2$
46088	Find the Vertex	y=x^2+5x+6	$y = x^{2} + 5 x + 6$
46089	Find the Vertex	y=-x^2+6x+1	$y = - x^{2} + 6 x + 1$
46090	Find the Vertex	y=x^2+8x+13	$y = x^{2} + 8 x + 13$
46091	Find the x and y Intercepts	f(x)=x^3+2x^2-9x-18	$f (x) = x^{3} + 2 x^{2} - 9 x - 18$
46092	Find the x and y Intercepts	f(x)=x^3-2x^2-4x+8	$f (x) = x^{3} - 2 x^{2} - 4 x + 8$
46093	Find the x and y Intercepts	f(x)=x^3-4x	$f (x) = x^{3} - 4 x$
46094	Find the x and y Intercepts	f(x)=x^2-6x+3	$f (x) = x^{2} - 6 x + 3$
46095	Find the x and y Intercepts	f(x)=x^2-4x-21	$f (x) = x^{2} - 4 x - 21$
46096	Find the x and y Intercepts	f(x)=x^2+2x+2	$f (x) = x^{2} + 2 x + 2$
46097	Find the x and y Intercepts	f(x)=-x^2+13x-36	$f (x) = - x^{2} + 13 x - 36$
46098	Find the x and y Intercepts	f(x)=x^2+2x-63	$f (x) = x^{2} + 2 x - 63$
46099	Find the x and y Intercepts	f(x)=-x^2+2x+5	$f (x) = - x^{2} + 2 x + 5$
46100	Find the x and y Intercepts	f(x)=x^2+3x-18	$f (x) = x^{2} + 3 x - 18$