Sketch a graph of the rectangular equation. [Hint: First convert the equation to polar coordinates.]

(x² + y² + 3y)² = 9(x² + y²)


Mathematics

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Given A = 33°, b = 13, and c = 7, use the Law of Cosines to solve the triangle for the value of a. Round your answer to two decimal places.



What will be an ideal response?

Mathematics

Find two real numbers between -2? and 2? that determine the point on the unit circle.

A.  
B.  
C.  
D.

Mathematics

Find an equation of the ellipse.An ellipse with y-intercepts ±6; foci at  and .

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics

Solve the problem.The medians of a triangle intersect at a point. The distance from the vertex to the point is exactly two-thirds of the distance from the vertex to the midpoint of the opposite side. Find the exact distance of that point from the vertex A(3, 4) of a triangle, given that the other two vertices are at (0, 0) and (8, 0).

A.
B. 2
C.
D.

Mathematics