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Finding Geometric mean

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Compute the geometric mean of the following percent increases: 2, 8, 6, 4, 10, 6, 8, and 4.

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Analytical Geometry - Find the locus of a vertex.

The equation of the circle is given as:

x^2+y^2=25

A parallelogram is constructed as follows:
Vertex O is at the origin, vertex A is on the circle, vertex C is on the y-axis and the diagonal AC is parallel to the x-axis.

See attached figure

Question:
1. Find the locus of vertex B.
2. Describe the geometrical shape that is described by the equation you found in part 1, and find its intersection points with the axis.

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