For the carpet:
Given:
Area = x^2 + x - 20 ft^2
Length = x+ 5 ft
As a carpet is rectangular, the area is defined as the product of the length and the width. To obtain an expression of the carpet's width, the area is to be divided by the length, which is shown below:
__x_-_4___x + 5|x^2 + x - 20 x^2 + 5x -------- -4x - 20 -4x - 20 -------- 0
Therefore, the expression of width = x - 4.
Applying the value of x = 20 to obtain the measurements of the carpet, we obtain the following:
Width = x - 4 = 20 - 4 = 16ft
Length = x+ 5 = 20 + 5 = 25ft.
Therefore, the carpet is 25ft x 16ft.
For the wall:
The same principles apply to the wall as it is also assumed to be rectangular.
Given:
Area = <span>x^2 + 17x + 30 ft^2
Width = x + 2
To obtain the expression for the wall's length, Area is to be divided by the Width, which is shown below:
__x_+_15______x + 2|x^2 + 17x + 30 x^2 + 2x -------- 15x + 30 15x + 30 --------- 0
Therefore, the expression for the wall's length is x + 15.
Applying the value of x = 20 to obtain the wall's dimensions:
Length = x + 15 = 20 + 15 = 35ft.
Width = x + 2 = 20 + 2 = 22ft.
Therefore the wall has measurements of 35ft x 22ft.</span>
Answer:
34
Step-by-step explanation:
You can break apart 27 into 20 and 7, and add that 7 to the other 7 to make 14, and add 14 to 20, to make 34.
Answer: 53.79
Step-by-step explanation:
Answer:
Her friend is correct
Step-by-step explanation:
40 * 20% = 8
40+8=48
9514 1404 393
Answer:
![\left[\begin{array}{cc}12&1\\-4&1\\-11&28\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D12%261%5C%5C-4%261%5C%5C-11%2628%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The element at row i column j in the product is the dot-product of row i of the first matrix and column j of the second matrix. For example, row 2 column 1 of the product is ...
(row 2) · (column 1)
[3, -2, 4] · [2, 7, 1] = (3)(2) +(-2)(7) +(4)(1) = 6 -14 +4 = -4
The attachment shows the complete product matrix. It is convenient to let a spreadsheet or graphing calculator do the tedious repetitive arithmetic.
