Exam 14: Conic Sections

Solve the problem. -The arch beneath a bridge is semi-elliptical, a one-way roadway passes under the arch. The width of the roadway is 34 feet and the height of the arch over the center of the roadway is 9 feet. Two trucks plan to use this Road. They are both 12 feet wide. Truck 1 has an overall height of 8 feet and Truck 2 has an overall height of 7 feet. Draw a rough sketch of the situation and determine which of the trucks can pass under the bridge.

Determine the distance between the pair of points. -(6, 1) and (3, -5)

Find the equation of the ellipse satisfying the given conditions. -(6, 0), (-6, 0), (0, 5), (0, -5) are the endpoints of the major and minor axes.

Graph the equation. -

Graph the equation. -

Solve the problem. -For the given cost and revenue equations, find the break-even point(s)

Determine the distance between the pair of points. -(0, 0) and (-10, -2)

Solve the problem. -A bridge is built in the shape of a semi-elliptical arch. It has a span of 96 feet. The height of the arch 29 feet from the center is to be 6 feet. Find the height of the arch at its center rounded to the nearest hundredth of a foot.

Determine whether the graph of the quadratic function opens up or down. -

Write the equation of the circle with the given center and radius. -Center (0, 0),radius 9

Indicate whether the equation represents an ellipse, hyperbola, circle, or parabola. In equations that contain both and terms, divide both sides of the equation by the constant term to put the equation in a more recognizable form. -

Determine the equations of the asymptotes for the equation. -y

Indicate whether the equation represents an ellipse, hyperbola, circle, or parabola. In equations that contain both and terms, divide both sides of the equation by the constant term to put the equation in a more recognizable form. -

Graph the equation. -

Solve the problem. -The arch beneath a bridge is semi-elliptical, a one-way roadway passes under the arch. The width of the roadway is 32 feet and the height of the arch over the center of the roadway is 13 feet. Two trucks plan to use This road. They are both 8 feet wide. Truck 1 has an overall height of 12 feet and Truck 2 has an overall height of 13 feet. Draw a rough sketch of the situation and determine which of the trucks can pass under the bridge.

Graph the equation. -

Find all real solutions to the system of equations using the addition method. -

Find all real solutions to the system of equations using the addition method. -

Solve the problem. -A right triangle has an area of 12 square inches. The square of the hypotenuse is 52. Find the lengths of the legs of the triangle. Round your answer to the nearest inch.

Write the equation of the circle with the given center and radius. -Center (-10, 10), radius