The answer you are lookong for is b
Step-by-step explanation:
If X is a finite Hausdorff space then every two points of X can be separated by open neighborhoods. Say the points of X are 
. So there are disjoint open neighborhoods 
and 
, of 
and 
respectively (that's the definition of Hausdorff space). There are also open disjoint neighborhoods 
and 
of and 
respectively, and disjoint open neighborhoods 
and 
of and 
, and so on, all the way to disjoint open neighborhoods 
, and 
of and 
respectively. So 
has every element of 
in it, except for . Since 
is union of open sets, it is open, and so 
, which is the singleton 
, is closed. Therefore every singleton is closed.
Now, remember finite union of closed sets is closed, so 
is closed, and so its complemented, which is is open. Therefore every singleton is also open.
That means any two points of belong to different connected components (since we can express X as the union of the open sets 
, so that is in a different connected component than 
, and same could be done with any 
), and so each point is in its own connected component. And so the space is totally disconnected.
Answer: x= 132
Step-by-step explanation:
Answer:
(x + 2)² = 7
Step-by-step explanation:
We have to complete the square in the given equation
3x² + 12x = 9
3x² + 12x - 9 = 0
3[x² + 4x -3] = 0
3[x² + 2(2x) + 4 - 4 - 3] = 0
3[x² + 2(2x) + 4] - 3 × 7 = 0
3[x² + 2]² - 21 = 0
(x + 2)² = = 7
Therefore, the square form of the equation is (x + 2)² = 7
Hope this helps (:
c is the answer i know this because im smart and because c is the answer
