the easiest way I find a midpoint of two points is the midpoint theorem, here it is:
For x and y plug in the two coordinates given, (4,-4) & (0,8)
so once you plug the numbers into the equation you would get:
(2,2)
A numeric form using exponents.
Answer:
- 4.9t + 22t= 1.5 is the answer
Answer:
The correct answer would be <u><em>6000.</em></u>
Step-by-step explanation:
To round decimal numbers to the nearest thousand, consider the last four digits that should be modified to the nearest thousandth number.
Answer:
Step-by-step explanation:
define the function:
As both 
and x are continuous functions, 
will also be continuous.
Now, what can we say about 
?
we know that 
, thus:
thus 
is non-negative.
What about 
? Again we have:
That means that is not positive.
Now, we can imagine two cases, either one of 
or is equal to zero, or none of them is. If either of them is equal to zero, we have found a fixed point! In fact, any point 
for which 
is a fixed point, because:
Now, if 
and 
, then we have that
and 
. And by Bolzano's theorem we can assert that there must exist a point c between a and b for which . And as we have shown before that point would be a fixed point. This completes the proof.
