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Given the parabola \( y^2=-16x \), choose the correct focus and directrix from the choices below.  You do not have to show work for this problem.

Given the ellipse: \( 16x^2+9y^2=144 \) Choose the correct foci from the choices below.   Show work for this problem.

Given the hyperbola:  \( -36x^2+y^2-144=0 \), find the vertices & equations for the asymptotes.  Choose the correct answer for each question. Show work for this problem.

Determine the standard equation of the ellipse with  vertices:  (4, 5) and (4, -21) Foci: (4, -3) and (4, -13) Choose the correct equation below.  Show work for this problem.

For u = and v = find u • v. Show work for this problem.

What quadrant is the complex number (-3-4i) located in?  [[1]] What is the absolute value of the complex number (-3-4i)? [[2]] Use the drag and drop feature to answer each question. Show work for this problem.

Find the angle between u = and v = to the nearest tenth of a degree.  Do not type the degree symbol.  Make sure Desmos is in degree mode. Show work for this problem.

Find the unit vector orthogonal to v = 3i – 4j. The unit vector orthogonal to v = 3i – 4j is . Use the drag and drop feature to fill in the components. Show work for this problem.

Given \( tan \theta= \frac{2}{ \sqrt[]{5} } \), \( cos \theta \)

Laws that impose criminal punishment without a trial are called ______.