The vertices of a rectangle in the standard (x, y) coordinate place are (0,0), (0,4), (7,0) and (7,4). if a line through (2,2) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line?
a. 0
b. 2/5
c. 4/7
d. 1
e. 7/4

The answer is A

Step-by-step explanation:

The rectangular has a height of 4 unit and has a width of 7 units. Area of the rectangular is:

28 unit square.

The point of (2,2) is on the middle height of rectangular shape. The point has 2 unit distance to base and ceiling of the rectangular.

The line y=2 is passing thought on (2,2) and also divides rectangular into two rectangular which have 14 unit square area.

Therefor, the slope is 0

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12