Given:
The expressions are


To find:
The simplified form of each expression.
Solution:
We have,

![[\because x^{-n}=\dfrac{1}{x^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20x%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Bx%5En%7D%5D)

Therefore, the simplified form of
is
.
We have,

![[\because x^{-n}=\dfrac{1}{x^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20x%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Bx%5En%7D%5D)


Therefore, the simplified form of
is
.
We know that
<span>applying the Pythagorean theorem
c</span>²=a²+b²
c is the <span>length of the diagonal
a=100 yd
b=130 yd
c</span>²=100²+130²-------> c²=26900---------> c=√26900 units----> c=10√269 units
the answer is
the length of the diagonal is 10√269 units or 164.012 units
Answer: Have a nice day!
Step-by-step explanation:
I Think the answer is 31 because 20-5 is 15 so 36-5 is 31
The first consignment shows no association between the t-shirt size and the profit.
In the second consignment, the bigger the t-shirt size, the smaller the profit. There is an inverse relationship between the two variables.
In the third and fourth consignment, the bigger the size, the larger the profit. There is a direct relationship between the two variables.