Point F on the coordinate grid is reflected across a line to create point F. Then, points E, F, and F are connected to create a triangle. Kari says point E must be on the perpendicular bisector of the line
FF, regardless of the line across which point F was reflected.

Using the completing-the-square method, find the vertex of the function f(x) = 2x2 − 8x + 6 and indicate whether it is a minimum or a maximum and at what point. maximum at (2, –2) minimum at (2, –2) maximum at (2, 6) minimum at (2, 6)

In trapezoid bath, ah=19.7 and et=16.1. identify be.

Abox contains 1 plain pencil and 4 pens. a second box contains 5 color pencils and 5 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected? write your answer as a fraction in simplest form.