pre-calc

Find equation for parabola: focus at (11,7) and vertex at (6,7)

Pre-calc

Find equation for hyperbola with center at (4,9); a=5; c=13; traverse axis parallel to the x axis

Conics

See attachment with questions for 4 equations please

Area of Parallelogram

1. Find the area of parallelogram ABCD, given that AB = BE = ED = 1, and angle ABE = 90 degrees. See attached file for full problem description.

Prove that the centroid is the balance point of a triangle

Need to prove that the centroid is the balance point of a triangle using only GEOMETRY with no vector addition allowed and I can't use the "equal areas" argument as far as the 6 triangles that are made with the medians. Thanks much