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Anarel [89]
3 years ago
8

Which one of the following pairs of terms is composed of like terms? A. 4mn, 3my B. 2a, 2b C. –3x, +3y D. abc, cab

Mathematics
1 answer:
Pavel [41]3 years ago
6 0

Answer:

D.abc,cab

Step-by-step explanation:

We are given that some pairs of terms

We have to find the pairs of terms is composed of like terms.

Like terms : In algebra , like terms are those terms in which variables with power are same in the terms.

A.4mn,3my

In given pair ,variables  n and y are not same .Therefore, 4 mn and 3 my are not like terms.

B. 2a , 2b

In given pair variable a in first term and variable b in second term are not same. Therefore, given pair are not like terms.

C.-3x,3y

Variable x and y are not same therefore, it is not the pair of like terms.

D.abc, cab

In given pair  variable a with power is same in both terms, variable b with power is same in both terms and variable c with power is same in both terms.Hence, the pair is a pair of like terms.

Answer: D.abc cab.

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Answer:

d) 330

Step-by-step explanation:

The number of ways can a dance instructor send 4 of her 11 students to summer dance program is  C(11 , 4)

That is 11_{C_{4} } ways

by using formula n_{C_{r} } = \frac{n!}{(n-r)!r!}

now simplification

11_{C_{4} } = \frac{11!}{(11-4)!4!}

      = \frac{11X10X9X8X7!}{(7!)4X3X2X1}

after cancelling 7! and on simplification

   = \frac{11X10X9X8}{4X3X2X1}

after cancellation we get 330 ways

The number of ways can a dance instructor send 4 of her 11 students to summer dance program is 330

   

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Step-by-step explanation:

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