The coordinates below are the three vertices of a rectangle. Identify the fourth coordinate and the area of the rectangle.
(4 points
O 07.21.45 units squared
O 12.7).45 units squared
O 07.21.28 units squared
O 12.7). 28 units squared

(7,2)

45 units squared

Step-by-step explanation:

In order for the shape to be a rectangle the last vertex (lets call it D) must be the same vertical distance from C as A is from B (DC=AB), and the same horizontal distance from A as B is from C (AD=BC).

AB=DC=5

    -3+5=2

BC=AD=9

     -2+9=7

Therefore D is (7,2)

We already know the side lengths (5 and 9). Area is length by width. Therefore area = 5x9=45

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

the monthly balance will be $75,000