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Natasha2012 [34]
3 years ago
7

Find the midpoint of A and B where A has coordinates (-5, 3) and B has coordinates (3,-1)

Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0

Answer:

(-1, 1)

Step-by-step explanation:

Midpoint formula: (x₁ + x₂/2 , y₁ + y₂/2)

Substitute the values into the formula.

(-5 + 3/2 , 3 - 1/2)

(-2/2 , 2/2)

(-1,1)

Therefore, the midpoint is (-1, 1).

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Yes, he would take the same decision.

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3 years ago
A boy has 3 red , 2 yellow and 3 green marbles. In how many ways can the boy arrange the marbles in a line if: a) Marbles of the
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Answer:

The total number of different arrangements is 560.

Step-by-step explanation:

A multiset is a collection of objects, just like a set, but can contain an object more than once.

The multiplicity of a particular type of object is the number of times objects of that type appear in a multiset.

Permutations of Multisets Theorem.

The number of ordered n-tuples (or permutations with repetition) on a collection or multiset of n objects, where there are k kinds of objects and object kind 1 occurs with multiplicity n_1, object kind 2 occurs with multiplicity n_2, ... , and object kind k occurs with multiplicity n_k is:

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