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4 years ago

(-2ab-2a-3) - (ab+6) Help

Mathematics

1 answer:

anastassius [24]4 years ago

6 0

(-2ab-2a-3) - (ab+6)

Pretend that there is a -1 in front of the second bracket

-1(ab+6)= -ab-6

-2ab-2a-3-ab-6

-2ab-ab-2a-3-6

-3ab-2a-9

Answer : -3ab-2a-9

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Evaluate each of the following. (a) P(11,5) (b) C(11,5) (a) P(11,5) = (Simplify your answer.) (b) C(11,5) = (Simplify your answe

Hunter-Best [27]

<h2>Answer:</h2>

(a) P(11,5)= 55440

(b) C(11,5)=462

<h2>Step-by-step explanation:</h2>

We know that the permutation is the number of ways of arranging r items out of a total of n items and is given by:

$P(n,r)=\dfrac{n!}{(n-r)!}$

and the combination is the number of ways of choosing r items out of a total of n items and is given by:

$C(n,r)=\dfrac{n!}{r!\times (n-r)!}$

(a)

P(11,5)

$P(11,5)=\dfrac{11!}{(11-5)!}\\\\P(11,5)=\dfrac{11!}{6!}\\\\P(11,5)=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{6!}\\\\P(11,5)=11\times 10\times 9\times 8\times 7\\\\P(11,5)=55440$

(b)

C(11,5)

$C(11,5)=\dfrac{11!}{5!\times (11-5)!}\\\\C(11,5)=\dfrac{11!}{5!\times 6!}\\\\C(11,5)=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{5\times 4\times 3\times 2\times 1\times 6!}\\\\C(11,5)=462$

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So the answer would be, dilation increases the volume while other types of transformations do not.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

5x + 3y = 26

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Answer:

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Step-by-step explanation:

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