Hello there! :)
Answer:

<h2><u><em>
*****The answer should have a GREATER THAN SIGN AND POSITIVE TOO!*****</em></u></h2>
Step-by-step explanation:
Distributive property: a(b+c)=ab+ac
PEMDAS
Order of operations
Parenthesis
Exponent
Multiply
Divide
Add
Subtract
Left/Right
First, you add by 4 from both sides of an equation.

Then, you add numbers from left/right.
4+4=8
, which is our final answer.
Hope this helps you!
Have a nice day! :)
:D
-Charlie
Thank you so much! :)
Let's start from what we know.

Note that:

(sign of last term will be + when n is even and - when n is odd).
Sum is finite so we can split it into two sums, first

with only positive trems (squares of even numbers) and second

with negative (squares of odd numbers). So:

And now the proof.
1) n is even.
In this case, both

and

have

terms. For example if n=8 then:

Generally, there will be:

Now, calculate our sum:



So in this case we prove, that:

2) n is odd.
Here,

has more terms than

. For example if n=7 then:

So there is

terms in

,

terms in

and:

Now, we can calculate our sum:




We consider all possible n so we prove that:
Answer:
.
Step-by-step explanation:
The linear approximation is given by the equation

Linear approximation is a good way to approximate values of
as long as you stay close to the point
, but the farther you get from
, the worse your approximation.
We know that,

Next, we need to plug in the known values and calculate the value of
:

Then
.
Answer:
The length of the largest table that can be brought in the house on a diagonal is 
Step-by-step explanation:
we know that
Applying the Pythagoras Theorem
Find the length of the diagonal of the frame
