Sam colors each tile in a 4 by 4 grid white or black. A coloring is called rotationally symmetric if the grid can be rotated 90, 180, or 270 degrees to achieve the same pattern. Two colorings are called rotationally distinct if neither can be rotated to match the other. How many rotationally distinct ways are there for Sam to color the grid such that the colorings are not rotationally symmetric?

What is the slope of the line shown below?

Simplify 15(x - 4)(x -1)-3(x + 4)(x - 1) with steps

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24