Answer:
Please check the explanation.
Step-by-step explanation:
<u>Calculating the area of the outer rectangle:</u>
Given
- The length outer rectangle = l = 3x - 1
- The width of outer rectangle = w = 5x + 2
Thus,
The area of the outer rectangle:





<u>Calculating the area of the inner rectangle:</u>
Given
- The length inner rectangle = l = x + 7
- The width of inner rectangle = w = x
Thus,
The area of the outer rectangle:
A = wl
= x(x+7)
= x² + 7
<u>Calculating the area of the shaded region:</u>
As
The area of the outer rectangle = 15x² + x - 2
The area of the inner rectangle = x² + 7
- The area of the shaded region can be determined by subtracting the area of the inner rectangle from the area of the outer rectangle.
Thus,
shaded region Area = Outer Rectangle Area - Inner Rectangle Area
= 15x² + x - 2 - (x² + 7)
= 15x² + x - 2 - x² - 7
= 14x² + x - 9
Therefore, the Area of the shaded region is: 14x² + x - 9
The simplified expression is 
Explanation:
The given expression is 
Let us simplify the expression.
Multiplying the numbers in the numerator, we have,

Dividing the term 144 by 3, which results in 48.
Thus, we have,

Applying the fraction rule
, we get,

Applying the exponent rule
, we have,

Thus, the simplified expression is 
Answer:
G
Step-by-step explanation:
It is the same equation but backward
The domain of y = tan x is All x≠π/2 + n<span>π</span>