Find the area of the shaded region
2 answers:
Answer:
<h2>107 mm²</h2>Step-by-step explanation:
The formula of an area of a rectangle:
<em>l</em><em> - length</em>
<em>w</em><em> - width</em>
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The area of a given shaded region is equal to the area of the whole rectangle, minus the area of the small rectangle.
Area of the whole rectangle:
<em>l = 15mm, w = 9mm</em>
<em>A₁ = (15)(9) = 135 mm²</em>
Area of the small rectangle:
<em>l = 7mm, w = 4mm</em>
<em>A₂ = (7)(4) = 28 mm²</em>
<em></em>
Area of the shaded region:
<em>A = A₁ - A₂</em>
<em>A = 135 - 28 = 107 mm²</em>
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Answer:
The functions given are:
f(x) = x²
g(x) = f(-4x-3) + 1
First, find f(-4x-3):
f(x) = x²
f(-4x-3) = (-4x-3)²
Find g(x):
g(x) = f(-4x-3) + 1
g(x) = (-4x-3)² + 1
g(x) = (-1)² (4x+3)² + 1
g(x) = (4x+3)² + 1
First take
y = (x)²
Compress the graph along x axis by multiplying x with 4
y = (4x)²
Shift the graph left by 0.75 units, by adding 3 to x term.
y = (4x+3)²
Shift the graph up by 1 unit by adding 1 to the total terms.
y = (4x+3)² +1
Answer:
Workup in photo below.
Step-by-step explanation:
Good luck.
