The area of the shaded region is 3x^2 + 6x
<h3>How to determine the area of the shaded region?</h3>
The given parameters are:
- Top side of the shaded rectangle = 2x + 7.
- Left side of the shaded rectangle = 2x.
- Top side of the unshaded rectangle = x + 8.
- Left side of the unshaded rectangle = x.
The area of the shaded region is calculated as:
Shaded region area = (Top side of the shaded rectangle * Left side of the shaded rectangle) - (Top side of the unshaded rectangle * Left side of the unshaded rectangle)
Substitute the known values in the above equation
Shaded region area = (2x + 7) * (2x) - (x + 8) * (x)
Evaluate the products
Shaded region area = (4x^2 + 14x) - (x^2 + 8x)
Open the bracket
Shaded region area = 4x^2 + 14x - x^2 - 8x
Collect the like terms
Shaded region area = 4x^2 - x^2 + 14x - 8x
Evaluate the like terms
Shaded region area = 3x^2 + 6x
Hence, the area of the shaded region is 3x^2 + 6x
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ANSWER
The volume at the end of one week will be 22.32 liters.
EXPLANATION
If the balloon with a small leak loses 1% of its volume each day, then by the end of one week, it will lose 7℅ of its volume.
If the balloon originally contains 24 liters of gas, then this corresponds to 100%.
The volume at the end of one week will correspond to (100-7)%=93%
The volume at the end of one week is


Answer:
x = -17
Step-by-step explanation:
15+x = -2
x = -2 -15 (subtracting 15 both sides)
x = -17 Answer
Hope this helps!
Answer:
I think it's 34.12 inches
Step-by-step explanation:
Use the Phythagorean Theorem, because bisecting a rectangle using the diagonal will produce 2 triangles. The diagonal represents the hypotenuse of the triangle so to solve for it you'd use the formula c² = a²+b²