Answer:
Length = 17 feet, Width = 5 feet
Step-by-step explanation:
Given:
The area of a rectangular wall of a barn is 85 square feet.
Its length is 12 feet longer than the width.
Question asked:
Find the length and width of the wall of the barn.
Solution:
Let width of a rectangular wall of a barn = 
<u>As length is 12 feet longer than the width.</u>
Length of a rectangular wall of a barn = 
As we know:


Subtracting both sides by 85

As width can never be in negative, hence width of a rectangular wall of a barn =
= 5 feet
Length of a rectangular wall of a barn = 
Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.
The inverse of the function f(x) = 4(x-3)² + 2 is 
The given function is:
f(x) = 4(x - 3)² + 2
To find the inverse of the function:
Make x as the subject of the formula

Replace x by
and replace f(x) by x

Therefore, the inverse of the function is:

Learn more here: brainly.com/question/17285960
Given:
The polynomial is:

To find:
The degrees and determine whether it is a monomial, binomial, or trinomial.
Solution:
We have,

The highest power of the variable <em>x</em> in the given polynomial is 4. So, the degree of the polynomial is 4.
Monomial: Polynomial with one term.
Binomial: Polynomial with two terms.
Trinomial: Polynomial with three terms.
In the given polynomial, we have three terms
. So, the given polynomial is trinomial.
Therefore, the degree of the polynomial is 4 and it is a trinomial.
Answer:
3x - y = -3
Step-by-step explanation:
divide everything by 4, the greatest common factor. That's all you need to do.