Provide an appropriate response.Explain the differences between an ellipse and a hyperbola. Both definitions emphasize distance, but how is distance used differently in these two definitions?
What will be an ideal response?
Answers will vary. One possibility: An ellipse is the set of all points in a plane the sum of whose distances from two fixed points is constant. A hyperbola is the set of all points in a plane such that the absolute value of the difference of the distances from two fixed points is constant.
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Write the trigonometric expression as an algebraic expression containing u and v.sin(tan-1 u + tan-1 v)
A. 
B. 
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D. 
Solve the equation. First simplify the expression by combining like terms.2(y + 5) = 3(y - 4)
A. -2 B. -22 C. 2 D. 22
Match the graph with the correct equation.
A. y = sin 2x cos (-2) - cos 2x sin (-2) B. y = cos 2x cos (-2) + sin 2x sin (-2) C. y = cos 2x cos (-2) - sin 2x sin (-2) D. y = sin 2x cos (-2) + cos 2x sin (-2)
Factor by any method.x3 - 216
A. (x - 6)(x2 + 36) B. (x + 6)(x2 - 6x + 36) C. (x - 6)(x2 + 6x + 36) D. (x + 216)(x2 - 1)