Write a rule for the function that shifts every point in the plane 10 units down and 4 units to the right

Substitute y with y+10 and x with x-4.

Step-by-step explanation:

To shift every point in the plane 10 down you have to substitute y with y+10 and to shift every point in the plane 4 units right you have to substitute x with x-4.

Suppose the origin of function on the plane is (0,0) now we have to make the origin (4,-10).

first (x,y)=(0,0)

When we substitute x and y

(x-4,y+10)=(0,0)

x-4=0    

x=4

y+10 = 0

y= -10

Now the origin is (4,-10).

Hence the function is shifted 10 units down and 4 units right.

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

the answer would be 0.54