Rectangle DEFG has coordinates D(-2,-6), E(-2,4), F(4,4), and G ( 4,-6). Graph DEFG and find the coordinates of DEFG after a dilation of scale factor 1/2 , then a translation of 2 unit to the left, three units up.

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.

Thelime contains the point(-3,0) and parallel x-3y=3( show all work)

[15 points]find the least common multiple of the expressions: 1. 3x^2, 6x - 18 2. 5x, 5x(x +2) 3. x^2 - 9, x + 3 4. x^2 - 3x - 10, x + 2 explain if possible