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Solve the system by the addition method.
{(1, 11), (1, –11), (–1, 11), (–1, –11)}
The equation of a parabola is given. Determine if the parabola is horizontal or vertical, the way the parabola opens, and
the vertex.
horizontal; opens to left; (6, –2)
vertical; opens downward; (–2, 6)
vertical; opens downward; (2, 6)
horizontal; opens to left; (6, 2)
Find the midpoint of the line segment with the given end points.
Solve the system by the substitution method.
Use vertices and asymptotes to graph the hyperbola.
A
A satellite following the hyperbolic path shown in the picture turns rapidly at (0, 6) and then
moves closer and closer to the line y =9
2x as it gets farther from the tracking station at the origin.
Find the equation that describes the path of the satellite if the center of the hyperbola is at (0, 0).
(0, 6)
y =9
2x
Solve the system by the substitution method.
{(5, 10), (5, –10), (–5, 0)}
The area of a garden is 768 square feet, and the length of its diagonal is 40 feet. Find the dimensions
of the garden.
Find the distance between the pair of points. Give an exact answer.
(–4 2, –3) and (–2 2, –2)
Sketch the ellipse for the equation.