For the cuboid below: a. write down the coordinates of point B. b. write down the coordinates of point A. c. find the coordinates of the midpoint, M, of the diagonal [AO] of the cuboid.

find an equation of the form $y=a{x}^2+bx+c$, whose graph passess through the points (2, 3), (-2, 7) and (1, -2). You must use a system of linear equations in three variables for this problem.

The row echelon form of a system of linear equations is given.

(a)Write the system of equations corresponding to the given matrix. Use x, y; or x, y, z; or $x_1,x_2,x_3,x_4$ as variables.

(b)Determine whether the system is consistent or inconsistent. If it is consistent, give the solution.

$\left[\begin{array}{cccc}0& -3& |& -4\\ 0& 1& |& 0\end{array}\right]$

a−15=4a−3

The reduced row echelon form of a system of linear equations is given.Write the system of equations corresponding to the given matrix. Use x, y; or x, y, z; or $x_1,x_2,x_3,x_4$ as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. $\left[\begin{array}{cccc}1& 0& 4& 4\\ 0& 1& 3& 2\\ 0& 0& 0& 0\end{array}\right]$