Exam 8: Conics and Systems of Nonlinear Equations and Inequalities

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

Two loran stations are located 270 miles apart along a coast. If a ship records a time difference of 0.00047 second and continues on the hyperbolic path corresponding to that difference, where will it reach shore? Round to the nearest mile. (Assume the speed of the radio signal is 186,000 miles per second.)

Find the standard form of the equation of an ellipse with foci (0, -1) and and vertices and

Find the standard form of the equation of an ellipse with foci (5, 0) and (-5, 0), and vertices (7, 0) and (-7, 0).

Graph the hyperbola.

Match the ellipse to the equation.

Graph the system of inequalities.

Graph the hyperbola.

Graph the nonlinear inequality.- 6 x + + 2 x + 10 ≤ 4

Find the standard form of the equation of an ellipse with foci (0, -9) and and vertices and

Solve the system of equations by applying the elimination method.

Find the equation of the hyperbola from the given graph.

Graph the nonlinear inequality.

Match the ellipse to the equation.

Find the standard form of the equation of a hyperbola with foci (8, 0) and and vertices and

Find an equation for the parabola with vertex (7, 1) and focus (7, -5).

Match the equation to the parabola.

Graph the parabola and label the coordinates of the vertex.

Find the focus of the parabola with equation - 14y + 32x + 209 = 0.

Find the standard form of the equation of a hyperbola with center (0, 0), transverse y-axis, and asymptotes and