Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
28301	Find the Intersection of the Inequalities	x+2y=8 , 3x-y=0 , x-y=0	$x + 2 y = 8$ , $3 x - y = 0$ , $x - y = 0$
28302	Find the Union of the Inequalities	a=0 , b=0 , k=0	$a = 0$ , $b = 0$ , $k = 0$
28303	Find the Union of the Inequalities	ab<3 , bc<6 , cd<5 , da<4	$a b < 3$ , $b c < 6$ , $c d < 5$ , $d a < 4$
28304	Find the Union of the Inequalities	y=-2x-2 , y=x+9	$y = - 2 x - 2$ , $y = x + 9$
28305	Find the Union of the Inequalities	y-2x=3 , 4x+3y=-1 , 3x+y=8	$y - 2 x = 3$ , $4 x + 3 y = - 1$ , $3 x + y = 8$
28306	Find the Equation with Real Coefficients	0.7t-0.4t^2=16 , 0.4t+0.7t^2=64	$0.7 t - 0.4 t^{2} = 16$ , $0.4 t + 0.7 t^{2} = 64$
28307	Find the Equation with Real Coefficients	(x^2)/(a^2)-(y^2)/(b^2)=1 , b^2=c^2-a^2	$\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$ , $b^{2} = c^{2} - a^{2}$
28308	Find the Equation with Real Coefficients	\|u\|=5 , \|w\|=5 , x=45	$\| u \| = 5$ , $\| w \| = 5$ , $x = 45$
28309	Find the Equation with Real Coefficients	\|v\|=28.0 , x=129	$\| v \| = 28$ , $x = 129$
28310	Find the Equation with Real Coefficients	\|x\|=38 , x=45	$\| x \| = 38$ , $x = 45$
28311	Find the Equation with Real Coefficients	1/93tan(0.229)+1/93tan((pix)/118)+1/93tan(0.346)+1/(93sin((2(pix))/118)+14tan((piy)/101)-1/(1/14sin((2(piy))/101)+1/93tan((pix)/118)))=-0.037 , 1/93tan(0.35)+1/93tan((pix)/77)+1/93tan(0.53)+1/(93sin((2(pix))/77)+14tan((piy)/66)-1/(1/14sin((2(piy))/66)+1/93tan((pix)/77)))=89.77	$\frac{1}{93} \cdot \tan (0.229) + \frac{1}{93} \cdot \tan (\frac{π x}{118}) + \frac{1}{93} \cdot \tan (0.346) + \frac{1}{93 \sin (\frac{2 (π x)}{118}) + 14 \tan (\frac{π y}{101}) - \frac{1}{\frac{1}{14} \cdot \sin (\frac{2 (π y)}{101}) + \frac{1}{93} \cdot \tan (\frac{π x}{118})}} = - 0.037$ , $\frac{1}{93} \cdot \tan (0.35) + \frac{1}{93} \cdot \tan (\frac{π x}{77}) + \frac{1}{93} \cdot \tan (0.53) + \frac{1}{93 \sin (\frac{2 (π x)}{77}) + 14 \tan (\frac{π y}{66}) - \frac{1}{\frac{1}{14} \cdot \sin (\frac{2 (π y)}{66}) + \frac{1}{93} \cdot \tan (\frac{π x}{77})}} = 89.77$
28312	Find the Equation with Real Coefficients	1/x+3/y-1/z=5 , 2/x+4/y+6/z=4 , 2/x+3/y+1/z=3	$\frac{1}{x} + \frac{3}{y} - \frac{1}{z} = 5$ , $\frac{2}{x} + \frac{4}{y} + \frac{6}{z} = 4$ , $\frac{2}{x} + \frac{3}{y} + \frac{1}{z} = 3$
28313	Find the Equation with Real Coefficients	2/x+2/y-2/z=-1 , 2/x-10/y+5/z=4 , 5/x+2/y-1/z=1	$\frac{2}{x} + \frac{2}{y} - \frac{2}{z} = - 1$ , $\frac{2}{x} - \frac{10}{y} + \frac{5}{z} = 4$ , $\frac{5}{x} + \frac{2}{y} - \frac{1}{z} = 1$
28314	Find the Equation with Real Coefficients	m^2-3n^2=14 , m-n=2	$m^{2} - 3 n^{2} = 14$ , $m - n = 2$
28315	Find the Equation with Real Coefficients	m^2+3mn+n^2+1=2 , 3m^2-mn+3n^2=27	$m^{2} + 3 m n + n^{2} + 1 = 2$ , $3 m^{2} - m n + 3 n^{2} = 27$
28316	Find the Equation with Real Coefficients	n^3=-75 , n^6=-9375	$n^{3} = - 75$ , $n^{6} = - 9375$
28317	Find the Equation with Real Coefficients	x^2-y^2=36 , 2x^2-y^2-x=78	$x^{2} - y^{2} = 36$ , $2 x^{2} - y^{2} - x = 78$
28318	Find the Equation with Real Coefficients	x^2-y^2=36 , 2x+y=13	$x^{2} - y^{2} = 36$ , $2 x + y = 13$
28319	Find the Union of the Inequalities	csc(x)>0 , cot(x)>0	$\csc (x) > 0$ , $\cot (x) > 0$
28320	Find the Union of the Inequalities	csc(x)>0 , sec(x)>0	$\csc (x) > 0$ , $\sec (x) > 0$
28321	Find the Union of the Inequalities	m-2<-8 or, m/8>1	$m - 2 < - 8$ or, $\frac{m}{8} > 1$
28322	Find the Union of the Inequalities	sec(x)<0 , tan(x)<0	$\sec (x) < 0$ , $\tan (x) < 0$
28323	Find the Union of the Inequalities	sin(x)<0 , cot(x)<0	$\sin (x) < 0$ , $\cot (x) < 0$
28324	Find the Union of the Inequalities	sin(x)>0 , cos(x)>0	$\sin (x) > 0$ , $\cos (x) > 0$
28325	Find the Union of the Inequalities	sin(x)>0 , sec(x)<0	$\sin (x) > 0$ , $\sec (x) < 0$
28326	Find the Union of the Inequalities	sin(theta)<0 , tan(theta)<0	$\sin (θ) < 0$ , $\tan (θ) < 0$
28327	Find the Union of the Inequalities	tan(0)<(0) , sec(0)>(0)	$\tan (0) < (0)$ , $\sec (0) > (0)$
28328	Find the Union of the Inequalities	tan(0)>0 , cos(0)<0	$\tan (0) > 0$ , $\cos (0) < 0$
28329	Find the Union of the Inequalities	tan(Q)<0 , sin(Q)<0	$\tan (Q) < 0$ , $\sin (Q) < 0$
28330	Find the Union of the Inequalities	w<2 , w=8	$w < 2$ , $w = 8$
28331	Find the Union of the Inequalities	x(3x+1)>0 , x-2<100	$x (3 x + 1) > 0$ , $x - 2 < 100$
28332	Find the Union of the Inequalities	x+2y=32 , 3x+4y=84	$x + 2 y = 32$ , $3 x + 4 y = 84$
28333	Find the Union of the Inequalities	x+y<7 , y<1/2x-6 , 3x+y<6	$x + y < 7$ , $y < \frac{1}{2} x - 6$ , $3 x + y < 6$
28334	Find the Union of the Inequalities	x+y=4 , x-y=-3 , x=0 , y=0	$x + y = 4$ , $x - y = - 3$ , $x = 0$ , $y = 0$
28335	Find the Union of the Inequalities	x+y=8 , 2x+y=16 , x-y=-4	$x + y = 8$ , $2 x + y = 16$ , $x - y = - 4$
28336	Find the Union of the Inequalities	x=0 , y=0 , 3x+3y=9 , 3x+y=5	$x = 0$ , $y = 0$ , $3 x + 3 y = 9$ , $3 x + y = 5$
28337	Find the Union of the Inequalities	x=0 , y=0 , 2x+5y=50 , 4x+y=28	$x = 0$ , $y = 0$ , $2 x + 5 y = 50$ , $4 x + y = 28$
28338	Find the Union of the Inequalities	x=0 , y=0 , 2x+y<4 , 2x-3y=6	$x = 0$ , $y = 0$ , $2 x + y < 4$ , $2 x - 3 y = 6$
28339	Find the Union of the Inequalities	x=0 , y=0 , 3x+4y=20 , x-y=2	$x = 0$ , $y = 0$ , $3 x + 4 y = 20$ , $x - y = 2$
28340	Find the Union of the Inequalities	x^2+y^2=16 , y=x^2-4	$x^{2} + y^{2} = 16$ , $y = x^{2} - 4$
28341	Find the Union of the Inequalities	x^2+y^2=81 , y<x	$x^{2} + y^{2} = 81$ , $y < x$
28342	Find the Union of the Inequalities	10x+y=36 , 2x+5y=36 , x=0 , y=0	$10 x + y = 36$ , $2 x + 5 y = 36$ , $x = 0$ , $y = 0$
28343	Find the Union of the Inequalities	2x+15=9 , 2x-20=-18	$2 x + 15 = 9$ , $2 x - 20 = - 18$
28344	Find the Union of the Inequalities	2x+3y=18 , 2x+y=10	$2 x + 3 y = 18$ , $2 x + y = 10$
28345	Find the Union of the Inequalities	2x+3y=6 , x-y=3 , x=1	$2 x + 3 y = 6$ , $x - y = 3$ , $x = 1$
28346	Find the Union of the Inequalities	2x+3y>3 , 3x-y<25	$2 x + 3 y > 3$ , $3 x - y < 25$
28347	Find the Union of the Inequalities	2x+y+z=1300 , x+2y+z=1250 , 2x+2y+2z=1050	$2 x + y + z = 1300$ , $x + 2 y + z = 1250$ , $2 x + 2 y + 2 z = 1050$
28348	Find the Union of the Inequalities	2x-3y=6 , x+5y=5	$2 x - 3 y = 6$ , $x + 5 y = 5$
28349	Find the Union of the Inequalities	-2x-4<-8 , -2x-4>8	$- 2 x - 4 < - 8$ , $- 2 x - 4 > 8$
28350	Find the Union of the Inequalities	2x-8=-7 , x-5=2	$2 x - 8 = - 7$ , $x - 5 = 2$
28351	Find the Union of the Inequalities	3u-6=12 , -2u>12	$3 u - 6 = 12$ , $- 2 u > 12$
28352	Find the Union of the Inequalities	3x+2.5y=132 , x+1.5y=60	$3 x + 2.5 y = 132$ , $x + 1.5 y = 60$
28353	Find the Union of the Inequalities	3x+5y=15 , 4x+4y=16	$3 x + 5 y = 15$ , $4 x + 4 y = 16$
28354	Find the Union of the Inequalities	3x+6y=6 , 2x+y=8	$3 x + 6 y = 6$ , $2 x + y = 8$
28355	Find the Union of the Inequalities	4u-3>17 , 3u+5>-4	$4 u - 3 > 17$ , $3 u + 5 > - 4$
28356	Find the Union of the Inequalities	4x+2=14 , -21x+1<22	$4 x + 2 = 14$ , $- 21 x + 1 < 22$
28357	Find the Union of the Inequalities	-4x-6<-18 , -4x-6>18	$- 4 x - 6 < - 18$ , $- 4 x - 6 > 18$
28358	Find the Union of the Inequalities	5x+8y=120 , 7x+16y=192 , x=0 , y=0	$5 x + 8 y = 120$ , $7 x + 16 y = 192$ , $x = 0$ , $y = 0$
28359	Find the Union of the Inequalities	5x-2y<10 , y=x	$5 x - 2 y < 10$ , $y = x$
28360	Find the Union of the Inequalities	6x+4y=120 , x+2y=40	$6 x + 4 y = 120$ , $x + 2 y = 40$
28361	Find the Union of the Inequalities	8.5hh<40 , 340+(h-40)*(12.75h)=40	$8.5 h h < 40$ , $340 + (h - 40) \cdot (12.75 h) = 40$
28362	Find the Union of the Inequalities	8x+5y=40 , 4x+0y=40 , x=0 , y=0	$8 x + 5 y = 40$ , $4 x + 0 y = 40$ , $x = 0$ , $y = 0$
28363	Find the Quadrant	(-1,-6)	$(- 1, - 6)$
28364	Find the Quadrant	(1,-7)	$(1, - 7)$
28365	Find the Quadrant	(1,9)	$(1, 9)$
28366	Find the Quadrant	(1.5,2)	$(1.5, 2)$
28367	Find the Quadrant	(-1.8,0.4)	$(- 1.8, 0.4)$
28368	Find the Quadrant	(-12,20)	$(- 12, 20)$
28369	Find the Quadrant	(12,5)	$(12, 5)$
28370	Find the Quadrant	(12,-8)	$(12, - 8)$
28371	Find the Quadrant	(-12,9)	$(- 12, 9)$
28372	Find the Quadrant	(-14,2)	$(- 14, 2)$
28373	Find the Quadrant	(15,8)	$(15, 8)$
28374	Find the Quadrant	(-18,-2)	$(- 18, - 2)$
28375	Find the Quadrant	(2,(2pi)/3)	$(2, \frac{2 π}{3})$
28376	Find the Quadrant	(-2,(-2pi)/3)	$(- 2, \frac{- 2 π}{3})$
28377	Find the Quadrant	(-2,(5pi)/6)	$(- 2, \frac{5 π}{6})$
28378	Find the Quadrant	(-2,(7pi)/4)	$(- 2, \frac{7 π}{4})$
28379	Find the Quadrant	(2,pi/2)	$(2, \frac{π}{2})$
28380	Find the Quadrant	(2,-pi/4)	$(2, - \frac{π}{4})$
28381	Find the Quadrant	(-2,8)	$(- 2, 8)$
28382	Find the Quadrant	(3,-13)	$q (3, - 13)$
28383	Find the Quadrant	(-5,-12)	$(- 5, - 12)$
28384	Find the Quadrant	((- square root of 5)/3,-2/3)	$(\frac{- \sqrt{5}}{3}, \frac{- 2}{3})$
28385	Find the Quadrant	(-( square root of 77)/9,2/9)	$(- \frac{\sqrt{77}}{9}, \frac{2}{9})$
28386	Find the Quadrant	(-1/( square root of 10),-3/( square root of 10))	$(- \frac{1}{\sqrt{10}}, - \frac{3}{\sqrt{10}})$
28387	Find the Quadrant	(1/( square root of 2),-1/( square root of 2))	$(\frac{1}{\sqrt{2}}, - \frac{1}{\sqrt{2}})$
28388	Find the Quadrant	(-1/2,2)	$(\frac{- 1}{2}, 2)$
28389	Find the Quadrant	(-1/5,(2 square root of 6)/5)	$(- \frac{1}{5}, \frac{2 \sqrt{6}}{5})$
28390	Find the Quadrant	(-15/17,8/17)	$(- \frac{15}{17}, \frac{8}{17})$
28391	Find the Quadrant	(17/2,7)	$(\frac{17}{2}, 7)$
28392	Find the Quadrant	((2 square root of 2)/3,1/3)	$(\frac{2 \sqrt{2}}{3}, \frac{1}{3})$
28393	Find the Quadrant	(24/25,-7/25)	$(\frac{24}{25}, - \frac{7}{25})$
28394	Find the Quadrant	(8/17,15/17)	$(\frac{8}{17}, \frac{15}{17})$
28395	Find the Quadrant	(-pi/2,pi/2)	$(- \frac{π}{2}, \frac{π}{2})$
28396	Find the Quadrant	(- square root of 5,1)	$(- \sqrt{5}, 1)$
28397	Find the Quadrant	(-6,4)	$(- 6, 4)$
28398	Find the Quadrant	(-6,-6)	$(- 6, - 6)$
28399	Find the Quadrant	(-7,2)	$(- 7, 2)$
28400	Find the Quadrant	(7,24)	$(7, 24)$