Think of the different ways in which the quadratic equation \( x^{2}+18 x+81=0 \) can be solved. Select the correct options in the sentence below. The square root property [Select ] be used to solve the quadratic equation, because \( x^{2}+18 x+81 \) [Select] a binomial.

\[ -\quad-x_{1}+2 x_{2}-7 x_{3}=4 \] 3. (30 points) Solve the system of linear equations using Gauss-Jordan method. Find the rank of the matrix of this system. Indicate dependent and independent variables. Find the fundamental solution set (write the answer as a linear combination of particular vectors) \[ \begin{array}{l}x_{1}+3 x_{2}+2 x_{3}-3 x_{4}=0 \\ 2 x_{1}+6 x_{2}+3 x_{3}-4 x_{4}=0 \\ 3 x_{1}+9 x_{2}+4 x_{3}-5 x_{4}=0\end{array} \]

Simplify using factors: \( \frac{2 a-2 b}{-a+b} \)

uah klaim asurānsi seseorang mengikuti sebaran Pareto dengan nilai parameter \( \alpha=\frac{8}{3} \mathrm{~d} \) \( =8000 \). Gunakan Teorema Limit Pusat untuk menghitung peluang dari total 100 klaim ya ing bebas melebihi 600000 .

In un triangolo rettangolo l'altezza relativa all'ipotenusa misura 6 cm e la proiezione di un cateto sull'ipotenusa è \( 4,8 \mathrm{~cm} \). Calcola perimetro e area del triangolo.

Jess and Silvia have 420 marbles between them. If Jess has five times as many marbles as Silvia, how many do they each have?