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8090 [49]
3 years ago
14

Write a polynomial that represents the area of the shaded region

Mathematics
1 answer:
Orlov [11]3 years ago
7 0

Answer:

6x-7

Step-by-step explanation:

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Use the point-slope form linear equation given.
Agata [3.3K]

y-3=3(x+1)

opening the bracket

y-3=3x+3

y=3x+3+3

equation of the line in the form y=mx+c;

y=3x+6

therefore gradient=3

parallel lines have same gradient therefore gradient of the other line is 3

y--3/x-0=3

y+3=3(x-0)

y+3=3x-0

y=3x-3.

8 0
3 years ago
A pitcher of fruit punch holds 2 gallons. If nine people share the entire pitcher equally, how much punch does each person get?
Lesechka [4]
2 gallons divided between 9 people would equal 0.222222222 gallons per person
6 0
3 years ago
If a set has three elements how many subsets does it have
mel-nik [20]
6 subsets are possible, but the number of subsets depends on the problem
6 0
3 years ago
Find the volume of the wedge cut from the first octant by the cylinder z=12-3y^2 and the plane x+y=2.
LuckyWell [14K]

Answer:

The wedge cut from the first octant ⟹ z ≥ 0 and y ≥ 0 ⟹ 12−3y^2 ≥ 0 ⟹ 0 ≤ y ≤ 2  

0 ≤ y ≤ 2 and x = 2-y ⟹ 0 ≤ x ≤ 2  

V = ∫∫∫ dzdydx  

dz has changed from zero to 12−3y^2  

dy has changed from zero to 2-x  

dx has changed from zero to 2  

V = ∫∫∫ dzdydx = ∫∫ (12−3y^2) dydx = ∫ 12(2-x)-(2-x)^3 dx =  

24(2)-6(2)^2+(2-2)^4/4 -(2-0)^4/4 = 20

Step-by-step explanation:

8 0
4 years ago
Please help me now please
Kryger [21]

Answer:

0.4444444

Step-by-step explanation:

2/3 x 2/3 = 0.4444 repeating!

Hope this helps!

7 0
3 years ago
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