Answer:
6:55 A. M. is the latest time he can leave his house
The suffix 'ment' belongs to nouns that denote an action. the word 'announce' means to declare or make something known. So the word 'announcement' is the action of declaring.
Answer:
B.
Step-by-step explanation:
To simplify something that looks like
you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:
.
If you had
, then you would multiply top and bottom the conjugate of
which is
.
The conjugate of a+b is a-b.
These have a term for it because when you multiply them something special happens. The middle terms cancel so you only have to really multiply the first terms and the last terms.
Let's see:
(a+b)(a-b)
I'm going to use foil:
First: a(a)=a^2
Outer: a(-b)=-ab
Inner: b(a)=ab
Last: b(-b)=-b^2
--------------------------Adding.
a^2-b^2
See -ab+ab canceled so all you had to do was the "first" and "last" of foil.
This would get rid of square roots if a and b had them because they are being squared.
Anyways the conjugate of
is
.
This is the thing we are multiplying and top and bottom.
In case you're not already aware, the expression
is called the "difference quotient" and represents the average rate of change of a function
over an interval
.
For the function
, by substituting
we get

Then the difference quotient is


where the last equality holds as long as
.