What is the condition for two central coincides in a triangle to be collinear?

Consider the function y-2+3x² -x³ a) Find the intervals on which this Punction is increasing or decreasing. b) Find the intervals on which this function is Con cave Up or concave down. C) Deter mine the points at which this function has a local maximum, a local minimum, or a point Of reflection. d) Sketch a graph of this Punctron making sure to label the oints fou nd in part C.

2. Suppose I draw 20 circles in the plane, all passing through the origin, but no two tan- gent at the origin. Also, except for the origin, no three circles pass through a common point. How many regions are created in the plane?

Write a two-column proof showing that triangle ABC is congruent to triangle ADE. Then, describe either a single or series of transformations that would map triangle ADE onto triangle ABC. Given: Triangles ABC and ADE on the coordinate plane with point A = (0, 0) point B = (0, 10) point C = (6, 0) point D = (0, negative-10) point E = (negative-6, 0) Prove: △ABC ≅ △ADE