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USPshnik [31]
3 years ago
11

What is the equation of the line that passes through the point (-2,0) and has a slople of -2 ​

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0

Answer:

y= -2x-4

Step-by-step explanation:

(-2,0) = (x_1,y_1) \\ m =  - 2

Substitute values into point slope form

y - y_1 = m(x - x_1) \\ y - 0 =  - 2(x - ( - 2)) \\ y - 0 =  - 2(x + 2) \\ y - 0 =  - 2x - 4

y =  - 2x - 4 + 0 \\ y=  - 2x - 4

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How many elements are in the union of five sets if the sets contain 10,000 elements each, each pair of sets has 1000 common elem
masya89 [10]

Answer:

40951

Step-by-step explanation:

Using the principles of inclusion - Exclusion

Where C(n,r)=n!/(n-r)!r!

Total elements in the five sets including number repetition is given as (10000)×C(5, 1) =10000× 5!/(5-1)!1!=10000×5=50000

Total Number of elements in each pair including number repetition of sets is given as

=(1000) × C(5, 2) =10000

Number of elements in each triple of sets is given as

=(100) × C(5, 3) =1000

Number of elements in every four sets

=(10) × C(5, 4)=50

Number of elements in every one set

(1) × C(5, 5)=1

Therefore total number of unique elements=50000-10000+1000-50+1

=40951

5 0
3 years ago
Write a translation rule that maps point D(7,-3) onto point D'(2,5).
Sergio039 [100]
We are given D (7, -3) and D'(2, 5).

SAppy the transformation
D'(x,y) → D(x-5, y+8).
Then 
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y=-3 → y=-3+8 = 5

Answer: D (x-5, y+8) → D'
6 0
3 years ago
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What is the value of x in x2-3x=28
charle [14.2K]

Answer:

x=-28

Step-by-step explanation:

2x-3x=-1x so if -1x=28 divide both sides by -1 so x= -28

5 0
2 years ago
What is the answer to 9.2 x 0.3​
zlopas [31]

Answer:

2.76

Step-by-step explanation:

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3 years ago
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The students plan to eat lunch at a park. Each table can only seat 6 students.
AVprozaik [17]
8.

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3 years ago
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