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soldier1979 [14.2K]
3 years ago
9

Find the length of AB

Mathematics
1 answer:
AleksandrR [38]3 years ago
8 0

Answer:

6.4

Step-by-step explanation:

A(3, 9)

B(8, 5)

\sqrt{(3-8)^{2} +(9-5)^{2} }

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Solve 30 = −5(6n + 6), justifying each step with an algebraic property.
Liula [17]
1) property of distribution: 30 = -30n - 30
2) inverse property of addition: 60 = -30n
3) inverse property of multiplication: -2 = n

step 2: subtract 30 from both sides
step 3: divide -30 from both sides
7 0
4 years ago
A country has two political parties, the Reds and the Blues. The 100-member senate has 4444 Reds and 5656 Blues. Each party must
Neporo4naja [7]

Answer:

There are 5,827,360 different outcomes.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In each party:

The order in which the people are selected is important(first is chair, second vice chair), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

Reds:

Two from a set of 44. So

P_{(44,2)} = \frac{44!}{(44-2)!} = 44*43 = 1892

Blues:

Two from a set of 56. So

P_{(56,2)} = \frac{56!}{(56-2)!} = 56*55 = 3080

How many different outcomes are there for the chair and vice chair elections of both parties?

Considering both, by the fundamental counting principle:

1892*3080 = 5827360

There are 5,827,360 different outcomes.

7 0
3 years ago
A snowboarder traveled at a speed of 12 meters per second for 15 seconds. How far did the snowboarder travel?
Vlad1618 [11]
Multiply 12 x 15 = 180 meters
6 0
3 years ago
Read 2 more answers
Find the average rate of change of a function that contains the points (-2,3) and (2,5).
slavikrds [6]
000000000000000000000000
5 0
3 years ago
(4.5+7.6)-8*2.5 I really need help with this problem
natali 33 [55]
4.5 + 7.6= 12.1 - 8 x 2.5= 
12.1 - 20 = -7.9
5 0
4 years ago
Read 2 more answers
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