Matura (sierpień 2018, poziom podstawowy, poprawka, (nowa formuła))

$20\ 180\ \text{zł}$20\ 180\ \text{zł}

$18\ 162\ \text{zł}$18\ 162\ \text{zł}

$2\ 108\ \text{zł}$2\ 108\ \text{zł}

$2\ 028\ \text{zł}$2\ 028\ \text{zł}

$\displaystyle 2^{ \frac{1}{6} }$\displaystyle 2^{ \frac{1}{6} }

$\displaystyle 2^{ \frac{1}{5} }$\displaystyle 2^{ \frac{1}{5} }

$\displaystyle 2^{ \frac{1}{3} }$\displaystyle 2^{ \frac{1}{3} }

$\displaystyle 2^{ \frac{2}{3} }$\displaystyle 2^{ \frac{2}{3} }

$3 \cdot 10^{-10}$3 \cdot 10^{-10}

$3 \cdot 10^{-6}$3 \cdot 10^{-6}

$6{,}75 \cdot 10^{-10}$6{,}75 \cdot 10^{-10}

$6{,}75 \cdot 10^{-6}$6{,}75 \cdot 10^{-6}

$\log_490$\log_490

$\log_696$\log_696

$4$4

$2$2

$a=\sqrt{13}$a=\sqrt{13}

$a=1$a=1

$a=0$a=0

$a=\sqrt{13}+1$a=\sqrt{13}+1

$\displaystyle \begin{cases} y=-2x+8\\ y=- \frac{3}{2}x+ \frac{13}{2} \end{cases}$\displaystyle \begin{cases} y=-2x+8\\ y=- \frac{3}{2}x+ \frac{13}{2} \end{cases}

$\displaystyle \begin{cases} y=2x-4\\ y=- \frac{1}{2}x+ \frac{7}{2} \end{cases}$\displaystyle \begin{cases} y=2x-4\\ y=- \frac{1}{2}x+ \frac{7}{2} \end{cases}

$\displaystyle \begin{cases} y=x-1\\ y= \frac{1}{2}x+ \frac{1}{2} \end{cases}$\displaystyle \begin{cases} y=x-1\\ y= \frac{1}{2}x+ \frac{1}{2} \end{cases}

$\displaystyle \begin{cases} y=3x-7\\ y=- \frac{2}{3}x+4 \end{cases}$\displaystyle \begin{cases} y=3x-7\\ y=- \frac{2}{3}x+4 \end{cases}

$-2$-2

$2$2

$4$4

$-4$-4

nie istnieje.

ma współrzędne $\left(1,0\right)$\left(1,0\right).

ma współrzędne $\left(0,1\right)$\left(0,1\right).

ma współrzędne $\left(0,0\right)$\left(0,0\right).

$7$7

$3\sqrt{3}$3\sqrt{3}

$-5$-5

$-\sqrt{3}$-\sqrt{3}

$\left(-2,-3\right)$\left(-2,-3\right)

$\left(-2,-12\right)$\left(-2,-12\right)

$\left(1,-8\right)$\left(1,-8\right)

$\left(1,-12\right)$\left(1,-12\right)

$x_1+x_2=11$x_1+x_2=11

$x_1+x_2=-11$x_1+x_2=-11

$x_1+x_2=33$x_1+x_2=33

$x_1+x_2=-33$x_1+x_2=-33

$0$0

$5$5

$4$4

$3$3

$a_4=5$a_4=5

$a_4=6$a_4=6

$a_4=3$a_4=3

$a_4=4$a_4=4

$8$8

$4$4

$2$2

$0$0

$\alpha=60^\circ$\alpha=60^\circ

$\alpha\in\left(40^\circ ,60^\circ \right)$\alpha\in\left(40^\circ ,60^\circ \right)

$\alpha\in\left(30^\circ ,40^\circ \right)$\alpha\in\left(30^\circ ,40^\circ \right)

$\alpha=30^\circ$\alpha=30^\circ

$\displaystyle \sin\alpha \cdot \tg\alpha= \frac{16}{15}$\displaystyle \sin\alpha \cdot \tg\alpha= \frac{16}{15}

$\displaystyle \sin\alpha \cdot \tg\alpha= \frac{15}{16}$\displaystyle \sin\alpha \cdot \tg\alpha= \frac{15}{16}

$\displaystyle \sin\alpha \cdot \tg\alpha= \frac{8}{15}$\displaystyle \sin\alpha \cdot \tg\alpha= \frac{8}{15}

$\displaystyle \sin\alpha \cdot \tg\alpha= \frac{6}{20}$\displaystyle \sin\alpha \cdot \tg\alpha= \frac{6}{20}

$\beta=19^\circ$\beta=19^\circ

$\beta=38^\circ$\beta=38^\circ

$\beta=57^\circ$\beta=57^\circ

$\beta=76^\circ$\beta=76^\circ

$120^\circ$120^\circ

$125^\circ$125^\circ

$130^\circ$130^\circ

$135^\circ$135^\circ

$18$18

$9$9

$18\sqrt{3}$18\sqrt{3}

$9\sqrt{3}$9\sqrt{3}

$m=4$m=4

$m=3$m=3

$m=-4$m=-4

$m=-3$m=-3

$2\sqrt{5}$2\sqrt{5}

$4\sqrt{5}$4\sqrt{5}

$5\sqrt{2}$5\sqrt{2}

$10\sqrt{2}$10\sqrt{2}

$\displaystyle \sin\alpha= \frac{\sqrt{6}}{3}$\displaystyle \sin\alpha= \frac{\sqrt{6}}{3}

$\displaystyle \sin\alpha= \frac{\sqrt{2}}{2}$\displaystyle \sin\alpha= \frac{\sqrt{2}}{2}

$\displaystyle \sin\alpha= \frac{\sqrt{3}}{2}$\displaystyle \sin\alpha= \frac{\sqrt{3}}{2}

$\displaystyle \sin\alpha= \frac{\sqrt{3}}{3}$\displaystyle \sin\alpha= \frac{\sqrt{3}}{3}

$50\pi$50\pi

$100\pi$100\pi

$200\pi$200\pi

$250\pi$250\pi

$3$3

$3{,}5$3{,}5

$4$4

$4{,}5$4{,}5

$\displaystyle \frac{14}{15}$\displaystyle \frac{14}{15}

$\displaystyle \frac{1}{14}$\displaystyle \frac{1}{14}

$\displaystyle \frac{14}{29}$\displaystyle \frac{14}{29}

$\displaystyle \frac{15}{29}$\displaystyle \frac{15}{29}