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:
24
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let
x----> the number of bugs that the spider ate this month
y----> the number of bugs that the spider ate last month
we know that
so
we have
The linear equation that represent this situation is
substitute the value of y
Answer:
See answer below
Step-by-step explanation:
Finding the measure of each angle.
The sum of the angles in a triangle = 180°
(9x - 8) + (x + 10) + (3x + 2) = 180°
13x + 4 = 180
13x = 180 - 4
13x = 176
x = 176/13
Angle 1 = 9x - 8 Angle 2 = x + 10 Angle 3 = 3x +2
= 9(176/13) - 8 = 176/13 + 10 = 3(176/13) + 2
≈ 113.8° ≈ 23.5° ≈ 42.6°
Answer:
The answer is below
Step-by-step explanation:
