Solution :
We have to prove that 
(De-Morgan's law)
Let 
then 
and 
and so 
and 
.
Thus, 
and so 
Hence, 
.........(1)
Now we will show that 
Let ⇒
Thus x is present neither in the set A nor in the set B, so by definition of the union of the sets, by definition of the complement.
and 
Therefore, 
and we have .............(2)
From (1) and (2),
Hence proved.
Answer:
(x,y)=(-1,-4)
Step-by-step explanation:
y=–3x–7
y=x–3
(y=)-3x-7=x-3
-3x-x=-3+7
-4x=4
x=4/(-4)
x=-1
y=x-3
y=-1-3
y=-4
(x,y)=(-1,-4)
Answer:
60 dogs
Step-by-step explanation:
40/8 = 5 dogs per hour
12 x 5 = 60 dogs in 12 hours
Answer:
it will take 7 nights
Step-by-step explanation:
Answer:
Scale is 1/6
Step-by-step explanation:
Since all sides and angles are identical these are congruent triangles
3 ways to solve:
Scale Factor = DE / AB = 12/72 = 1/6
Scale Factor = DF/AC = 7/42 = 1/6
Scale Factor = EF/CB = 11/66 = 1/6
