Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
49501	Find the Vertex	x=1/12y^2	$x = \frac{1}{12} y^{2}$
49502	Find the Vertex	y=-x^2+12x-1	$y = - x^{2} + 12 x - 1$
49503	Find the Vertex	y^2+2y=-x-5	$y^{2} + 2 y = - x - 5$
49504	Find the Vertex	y=x^2+4x-3	$y = x^{2} + 4 x - 3$
49505	Solve the Triangle	theta=300 degrees	$θ = 300 °$
49506	Solve the Triangle	theta=-(3pi)/4	$θ = - \frac{3 π}{4}$
49507	Solve the Triangle	theta=225 degrees	$θ = 225 °$
49508	Find the x and y Intercepts	y=(1/4)^x	$y = {(\frac{1}{4})}^{x}$
49509	Find the x and y Intercepts	y=(4x^2-100)/(2x^2+x-15)	$y = \frac{4 x^{2} - 100}{2 x^{2} + x - 15}$
49510	Find the x and y Intercepts	y=(6-3x)/(x^2-5x+6)	$y = \frac{6 - 3 x}{x^{2} - 5 x + 6}$
49511	Find the x and y Intercepts	y=cos(theta)	$y = \cos (θ)$
49512	Find the x and y Intercepts	y=-2x^2-2x+4	$y = - 2 x^{2} - 2 x + 4$
49513	Find the x and y Intercepts	y=2(x+3)^2+10	$y = 2 {(x + 3)}^{2} + 10$
49514	Find the x and y Intercepts	y=csc(x)	$y = \csc (x)$
49515	Find the x and y Intercepts	t=(7pi)/4	$t = \frac{7 π}{4}$
49516	Find the x and y Intercepts	r=8sin(theta)	$r = 8 \sin (θ)$
49517	Find the x and y Intercepts	r=7	$r = 7$
49518	Find the Next Term	3 , 7.5 , 18.75 , 46.875 , 117.1875 , 292.96875 , 732.421875 , 1831.0546875 , 4577.63671875	$3$ , $7.5$ , $18.75$ , $46.875$ , $117.1875$ , $292.96875$ , $732.421875$ , $1831.0546875$ , $4577.63671875$
49519	Find the x and y Intercepts	y=x^2-8x-16	$y = x^{2} - 8 x - 16$
49520	Find the x and y Intercepts	y=5cos(x)	$y = 5 \cos (x)$
49521	Find the x and y Intercepts	y=-x^2+12x-1	$y = - x^{2} + 12 x - 1$
49522	Solve over the Interval	square root of 3csc(theta)-2=0[0,2pi)	$\sqrt{3} \csc (θ) - 2 = 0 [0, 2 π)$
49523	Solve over the Interval	sec(theta)-1=0 , [0,2pi)	$\sec (θ) - 1 = 0$ , $[0, 2 π)$
49524	Find the Center	((x-3)^2)/4+((y+1)^2)/9=1	$\frac{{(x - 3)}^{2}}{4} + \frac{{(y + 1)}^{2}}{9} = 1$
49525	Solve over the Interval	2sin(theta)^2-3sin(theta)+1=0 , [0,2pi)	$2 \sin^{2} (θ) - 3 \sin (θ) + 1 = 0$ , $[0, 2 π)$
49526	Solve over the Interval	cos(2theta)+cos(theta)=0 , 0<=theta<=360	$\cos (2 θ) + \cos (θ) = 0$ , $0 \leq θ \leq 360$
49527	Solve over the Interval	sin(4x)cos(x)-sin(x)cos(4x)=-( square root of 2)/2 , [0,2pi)	$\sin (4 x) \cos (x) - \sin (x) \cos (4 x) = - \frac{\sqrt{2}}{2}$ , $[0, 2 π)$
49528	Convert to Rectangular	x=t^2 , y=2t	$x = t^{2}$ , $y = 2 t$
49529	Find the Roots (Zeros)	32(cos(pi/3)+isin(pi/3))	$32 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))$
49530	Find the Roots (Zeros)	(x^2+x-6)/(x^2-x-6)	$\frac{x^{2} + x - 6}{x^{2} - x - 6}$
49531	Find the Roots (Zeros)	8(cos((4pi)/5)+isin((4pi)/5))	$8 (\cos (\frac{4 π}{5}) + i \sin (\frac{4 π}{5}))$
49532	Solve the Triangle	tri{}{60}{10}{}{9}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 10 \\ a = & 9 \end{matrix} & \begin{matrix} A = & 60 \\ B = \\ C = \end{matrix} \end{matrix}$
49533	Solve the Triangle	tri{}{60}{6}{30}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 6 \\ a = \end{matrix} & \begin{matrix} A = & 60 \\ B = & 30 \\ C = & 90 \end{matrix} \end{matrix}$
49534	Solve the Triangle	tri{10}{}{}{}{10}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 10 \\ c = \\ a = & 10 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49535	Solve the Triangle	tri{1}{}{1}{}{1}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 1 \\ c = & 1 \\ a = & 1 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49536	Solve the Triangle	tri{1020}{}{740}{}{840}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 1020 \\ c = & 740 \\ a = & 840 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49537	Solve the Triangle	tri{12}{}{}{}{16}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = \\ a = & 16 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49538	Solve the Triangle	tri{11}{}{11}{}{9}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 11 \\ c = & 11 \\ a = & 9 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49539	Solve the Triangle	tri{10}{}{14}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 10 \\ c = & 14 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49540	Solve the Triangle	tri{10}{}{}{}{4}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 10 \\ c = \\ a = & 4 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49541	Solve the Triangle	tri{10}{}{}{}{5}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 10 \\ c = \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49542	Solve the Triangle	tri{}{45}{}{45}{8}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 8 \end{matrix} & \begin{matrix} A = & 45 \\ B = & 45 \\ C = & 90 \end{matrix} \end{matrix}$
49543	Solve the Triangle	tri{}{35}{5}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 5 \\ a = \end{matrix} & \begin{matrix} A = & 35 \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49544	Solve the Triangle	tri{}{}{9}{}{6}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 9 \\ a = & 6 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49545	Solve the Triangle	tri()(30)()(60)(3 square root of 3)(90)	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 3 \sqrt{3} \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
49546	Solve the Triangle	tri{}{30}{10}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49547	Solve the Triangle	tri{}{30}{1}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 1 \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
49548	Solve the Triangle	tri{}{30}{12}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 12 \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49549	Solve the Triangle	tri{}{}{8}{}{4}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 8 \\ a = & 4 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49550	Solve the Triangle	tri{}{}{6}{}{3}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 6 \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49551	Solve the Triangle	tri{}{}{6}{}{4}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 6 \\ a = & 4 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49552	Solve the Triangle	tri{}{}{26.4}{35}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 26.4 \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 35 \\ C = & 90 \end{matrix} \end{matrix}$
49553	Solve the Triangle	tri{}{}{26}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 26 \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
49554	Solve the Triangle	tri{}{}{27}{54}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 27 \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 54 \\ C = & 90 \end{matrix} \end{matrix}$
49555	Split Using Partial Fraction Decomposition	(13x+2)/((3x+1)^2)	$\frac{13 x + 2}{{(3 x + 1)}^{2}}$
49556	Split Using Partial Fraction Decomposition	(4x^2-32x+72)÷((x+1)(x-5)^2)	$(4 x^{2} - 32 x + 72) \div ((x + 1) {(x - 5)}^{2})$
49557	Solve by Substitution	3x+y=5x^2-4y=-40	$3 x + y = 5 x^{2} - 4 y = - 40$
49558	Solve by Substitution	x+y=180 ; x=1/4y-24	$x + y = 180$ ; $x = \frac{1}{4} y - 24$
49559	Solve the Triangle	tri{}{}{17}{44}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 17 \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 44 \\ C = & 90 \end{matrix} \end{matrix}$
49560	Solve the Triangle	tri{}{}{13}{}{7}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 13 \\ a = & 7 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49561	Solve the Triangle	tri{}{}{15}{}{9}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 15 \\ a = & 9 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49562	Solve the Triangle	tri()()(16)(67 degrees )()(90 degrees )	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 16 \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 67 \\ C = & 90 \end{matrix} \end{matrix}$
49563	Solve the Triangle	tri{}{}{12}{}{5}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 12 \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49564	Solve the Triangle	tri{}{}{}{40}{8}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 8 \end{matrix} & \begin{matrix} A = \\ B = & 40 \\ C = & 90 \end{matrix} \end{matrix}$
49565	Solve the Triangle	tri{}{}{10}{}{5}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 10 \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49566	Solve the Triangle	tri{}{}{11}{}{6}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 11 \\ a = & 6 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49567	Solve the Triangle	tri{}{}{12}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 12 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49568	Solve the Triangle	tri{5.6}{}{10.6}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5.6 \\ c = & 10.6 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49569	Solve the Triangle	tri{40}{}{41}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 40 \\ c = & 41 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49570	Solve the Triangle	tri{5}{}{12}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = & 12 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49571	Solve the Triangle	tri{5}{}{}{65}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 65 \\ C = & 90 \end{matrix} \end{matrix}$
49572	Solve the Triangle	tri{5}{}{}{}{5}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49573	Solve the Triangle	tri{5}{}{}{}{5}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49574	Solve the Triangle	tri{6}{}{10}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 6 \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49575	Solve the Triangle	tri{7}{}{}{}{6}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 7 \\ c = \\ a = & 6 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49576	Solve the Triangle	tri{8}{}{15}{}{17}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 8 \\ c = & 15 \\ a = & 17 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49577	Solve the Triangle	tri{7}{}{}{45}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 7 \\ c = \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 45 \\ C = & 90 \end{matrix} \end{matrix}$
49578	Solve the Triangle	tri{7}{}{10}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 7 \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49579	Solve the Triangle	tri{7}{}{10}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 7 \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49580	Solve the Triangle	tri{6}{}{8}{}{7}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 6 \\ c = & 8 \\ a = & 7 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49581	Solve the Triangle	tri{6}{}{8}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 6 \\ c = & 8 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49582	Solve the Triangle	tri{20}{}{}{}{21}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 20 \\ c = \\ a = & 21 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49583	Solve the Triangle	tri{2}{30}{}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 2 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
49584	Solve the Triangle	tri{2}{}{}{}{3}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 2 \\ c = \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49585	Solve the Triangle	tri{15}{}{39}{}{36}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 15 \\ c = & 39 \\ a = & 36 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49586	Solve the Triangle	tri{15}{30}{}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 15 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
49587	Solve the Triangle	tri{18}{}{}{}{24}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 18 \\ c = \\ a = & 24 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49588	Solve the Triangle	tri{16}{}{20}{}{12}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 16 \\ c = & 20 \\ a = & 12 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49589	Solve the Triangle	tri{12}{}{20}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = & 20 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49590	Solve the Triangle	tri{12}{}{37}{}{35}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = & 37 \\ a = & 35 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49591	Solve the Triangle	tri{15}{}{}{}{20}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 15 \\ c = \\ a = & 20 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49592	Solve the Triangle	tri{12}{}{}{44}{23}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = \\ a = & 23 \end{matrix} & \begin{matrix} A = \\ B = & 44 \\ C = \end{matrix} \end{matrix}$
49593	Solve the Triangle	tri(12)()()()(5)(90 degrees )	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49594	Solve the Triangle	tri{23}{}{}{105}{14}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 23 \\ c = \\ a = & 14 \end{matrix} & \begin{matrix} A = \\ B = & 105 \\ C = \end{matrix} \end{matrix}$
49595	Solve the Triangle	tri{234}{52}{}{}{178}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 234 \\ c = \\ a = & 178 \end{matrix} & \begin{matrix} A = & 52 \\ B = \\ C = \end{matrix} \end{matrix}$
49596	Solve the Triangle	tri{24}{}{26}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 24 \\ c = & 26 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49597	Solve the Triangle	tri{3}{}{}{}{3}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 3 \\ c = \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49598	Solve the Triangle	tri{28}{}{35}{}{21}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 28 \\ c = & 35 \\ a = & 21 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49599	Solve the Triangle	tri(4 square root of 3)(30)()(60)()(90)	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 4 \sqrt{3} \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
49600	Solve the Triangle	tri{4}{}{4}{}{2}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 4 \\ c = & 4 \\ a = & 2 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$