If x=6 and y=3 is 9_______________________________________
Answer:

Step-by-step explanation:
We are given that a function

We have to find the average value of function on the given interval [1,e]
Average value of function on interval [a,b] is given by

Using the formula

By Parts integration formula

u=ln x and v=dx
Apply by parts integration
![f_{avg}=\frac{1}{e-1}([xlnx]^{e}_{1}-\int_{1}^{e}(\frac{1}{x}\times xdx))](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7Be-1%7D%28%5Bxlnx%5D%5E%7Be%7D_%7B1%7D-%5Cint_%7B1%7D%5E%7Be%7D%28%5Cfrac%7B1%7D%7Bx%7D%5Ctimes%20xdx%29%29)
![f_{avg}=\frac{1}{e-1}(elne-ln1-[x]^{e}_{1})](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7Be-1%7D%28elne-ln1-%5Bx%5D%5E%7Be%7D_%7B1%7D%29)

By using property lne=1,ln 1=0

Step-by-step explanation:
<em>In the second column, we can see that every value of n is being added by 6. </em>
- Thus, the expression is n + 6.
<em>Now, let's substitute the value of n in each column to verify each column. Then, using the expression, let's find the value of n + 6 where n = 28.</em>
<u>When n is 12:</u>
- n + 6 = 18
- 12 + 6 = 18
- 18 = 18
<u>When n is 15:</u>
- n + 6 = 21
- 15 + 6 = 21
- 21 = 21
<u>When n is 21:</u>
- n + 6 = 27
- 21 + 6 = 27
- 27 = 27
<em>Thus, the expression is proven correct. Now, let's find n + 6 when n is 28.</em>
<u>Finding n + 6 when n is 28:</u>
- n + 6 = x
- 28 + 6 = x
- 34 = x
Thus, the missing value in the table is 34.
I'll explain it simply for you
1st question
Of course you know phythagoras theorm
You even wrote it up there
It states that the sum of the square of the two sides of an equilateral triangle is equal to the square of the hypotenuse

Where C is the hypotenuse
*NOTE* :
HYPOTENUSE is the greatest side in a triangle!!
And that's where your mistake is!
So you should take the greatest side as C
So in Q3. 7, 24 and 26 are the given numbers
You'll make the smaller two numbers a and b and the greatest number C
Using the Formula you'll solve the left side first which is

Then the right side which is

And if both are equal then it is a right triangle otherwise it isn't!
Let
a=7
b=24
c=26
a^2 + b^2
7^2 + 24^2
49 + 576 = 625
GREAT, Now the right side
26^2 = 676
Since they aren't equal it isn't a right angled triangle...
Then let
a=7.5
b=10
c=12.5
7.5^2 + 10^2
= 56.25 + 100
= 156.25
12.5^2 = 156.25
They are EQUAL
Therefore it is a right triangle too
Hopefully I helped
Im guessing he answered 30 correct, let me know if im correct