From the given functions, it can be seen that the graph of g(x) represents a shift of 6 units to the left of the graph of f(x).
Given a function, f(x), a shift of k units to the left of f(x) is given by g(x + k).
Therefore, if g(x) = f(x + k), then k = 6.
The area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6
<h3>Calculating area </h3>
From the question, we are to determine the area of the shaded region
The area of the shaded region = Area of the semicircle - Area of the triangle
First, we will determine the diameter, d, of the semicircle
d² = 3² + 4² (<em>Pythagorean theorem</em>)
d² = 9 + 16
d² = 25
d = √25
d = 5
∴ Diameter of the semicircle is 5
Thus,
Radius, r = 5/2 = 2.5
Now,
Area of the shaded region = 1/2(π×2.5²) - 1/2(3×4)
Area of the shaded region = 1/2(π×6.25) - 1/2(12)
Area of the shaded region = 3.125π - 6
Hence, the area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6
Learn more on Calculating area here: brainly.com/question/14989383
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Answer:
$4,425.7
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
2÷5 = 0.5
11÷2 = 5.5
5.5÷0.5 = 11
<span>6(2x-4y)=3(2x+4)
(2x-4y)=3/6(2x+4)
2x-4y=1/2(2x+4)
2(x-2y)=1/2x2(x+2)
x-2y=1/2(x+2)
x-2y=1/2x+1
x-1/2x=1+2y
x/2-1=2y
y-y1=m(x-x1) that is slope point intercept form
now plugin some points and get according y values so u can graph</span><span />
