Find the area of the parallelogram with the vertices A(-1,2,4), B(0,4,8), C(1,1,6), and D(2,3,10).

A(0,1), B(1,4), C(4,3) and D(3,0) are vertices of a quadrilateral ABCD. (a)Find the equations of the diagonals AC and BD. (b) show that the diagonals AC and BD bisect each other at right angles( by calculation. (c) find the length of AC and BD. (d) what type of equadrilateral is ABCD. 3. Triangle KLM with vertices K(3,-1), L(2,-4), M(6,-1) undergoes a translation T1= (-2/6). The image of K'L'M' under this translation. Under another translation T2= (-5/-3), the image of K'L'M' is K''L''M''. (a) represent the three triangles on the same axes. (b) find the column vector of a single translation T which is equivalent to T1 followed by T2. (c) find the coordinates of P' the image of a point p(2,2) under T

In a rectangular grid with corner points (0, 0), (0, m), (n, m) and n, 0), determine the number of paths from (0, 0) to (n, m) if each step in the path is due north or due east.

The points (0,3),(-2,-7),(-6,-27),(6,33),(4,23),(-1,-2) were plotted on the coordinate plane. What type of association do these data points have?