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Plug in 2 for x, and -4 for y
2(2)² + 3(2)(-4) - (-4)²
2² = 4(2) = 8
3(2) = 6(-4) = -24
-4² = 16
8 - 24 - 16 = answer
Simplify.
answer = 8 - 40
answer = -32
-32 is your answer
hope this helps
Answer:
51.26 ft
Step-by-step explanation:
First find the area of the triangle:
a=1/2 base times height
a=(1/2)(6)(4)
a=12 ft
Now find the area of the circles:
a= pi times radius squared
a= pi times 2.5 squared
a=19.63 ft
19.63 + 12 = 31.63 ft
Well first find the area of the semi-circle.
If the area of a cricle is equal to pi*radius^2 , then you can just find that and divide by 2.
So, A = pi*2^2. = 4pi
We know that the radius is 2 because the length of the side of the rectangle is 4, meaning that the diameter of the semi-circle is 4, and so the radius is 2 as it is half of the diameter.
We can easily calculate the area of the rectangle, which is
Length * width = 6*4 = 24.
Next we divide 4pi by 2 in order to get the area of the semi-circle, giving us an area of 2pi
We can just subtract 2pi from 24 and get the area of the shaded region.
Area of the shaded region (answer): 17.7
