B

9000101904

Level: 
B
Find the angle between the \(x\)-axis and the line \(p\). \[ \begin{aligned}p\colon x& = 2 - t, & \\y & = 3t, \\z & = 1;\ t\in \mathbb{R} \\ \end{aligned} \] Round your answer to the nearest minute.
\(71^{\circ }34'\)
\(0^{\circ }\)
\(69^{\circ }17'\)
\(90^{\circ }\)

9000101702

Level: 
B
Factor the following polynomial. \[ 3x^{3} + 3x^{2}y + 4xy + 4y^{2} \]
\(\left (3x^{2} + 4y\right )\left (x + y\right )\)
\(\left (3x + y\right )\left (x^{2} + y^{2}\right )\)
\(\left (3x^{2} + 4\right )\left (x + y^{2}\right )\)
\(\left (3x + y^{2}\right )\left (x + y\right )\)

9000101103

Level: 
B
Find the distance between two parallel lines \(p\) and \(q\). \[ \begin{aligned}p\colon x& = 2, & \\y & = 3t, \\z & = 1 - t;\ t\in \mathbb{R} \\ \end{aligned}\qquad \qquad \begin{aligned}q\colon x& = 3, & \\y & = 6s, \\z & = 1 - 2s;\ s\in \mathbb{R} \\ \end{aligned} \]
\(1\)
\(2\)
\(3\)
\(4\)