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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For this question, set up an equation. 60 times what decimal is 27?
60x=60
x=0.45
Convert this decimal to a percentage by multiplying it by 100:
45%
For this question, set up an equation. 55% (or 0.55) times what number equals 22?
0.55x=22
<em>*Divide both sides by 0.55*</em>
x=40
Hope this helps!!
Answer:
The coordinates of point B are (3,-2)
Step-by-step explanation:
we know that
The rule of the reflection of a point across the y-axis is given by
(x,y) -----> (-x,y)
so
Applying this rule to the point A(-3,-2)
A(-3,-2) --------> B(3,-2)
therefore
The coordinates of point B are (3,-2)
The answer is
<span>C) Samara’s sample is random because she asks the first 10 people she sees.
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