Answered

Get clear, concise, and accurate answers to your questions on IDNLearn.com. Our platform offers comprehensive and accurate responses to help you make informed decisions on any topic.

Which expressions are equivalent to [tex]j + j + 2k[/tex]?

Choose all answers that apply:

A. [tex]2jk[/tex]
B. [tex]2(j + j + k)[/tex]
C. None of the above

Sagot :

GinnyAnsweridn
To determine which expressions are equivalent to [tex]\( j + j + 2k \)[/tex], let's analyze each option:

1. Given expression: [tex]\( j + j + 2k \)[/tex]
- Combine like terms: [tex]\( j + j = 2j \)[/tex]
- Therefore, the given expression simplifies to [tex]\( 2j + 2k \)[/tex].

Now, let's consider each option:

Option (A): [tex]\( 2jk \)[/tex]
- This expression involves the product of [tex]\( j \)[/tex] and [tex]\( k \)[/tex] multiplied by 2.
- There is no sum of [tex]\( j \)[/tex] and [tex]\( k \)[/tex] involved, and it is fundamentally different from the linear terms in the original expression.
- Therefore, [tex]\( 2jk \)[/tex] is not equivalent to [tex]\( 2j + 2k \)[/tex].

Option (B): [tex]\( 2(j + j + k) \)[/tex]
- First, simplify inside the parentheses: [tex]\( j + j + k = 2j + k \)[/tex].
- Then distribute the 2: [tex]\( 2 \times (2j + k) = 4j + 2k \)[/tex].
- This results in [tex]\( 4j + 2k \)[/tex], which is not the same as the original expression [tex]\( 2j + 2k \)[/tex].

Option (C): None of the above
- Since neither option (A) nor option (B) is equivalent to the given expression [tex]\( j + j + 2k = 2j + 2k \)[/tex], this option remains valid.

In conclusion, neither [tex]\( 2jk \)[/tex] nor [tex]\( 2(j + j + k) \)[/tex] is equivalent to [tex]\( j + j + 2k \)[/tex].

Therefore, the correct answer is:

(c) None of the above
Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. IDNLearn.com is committed to providing the best answers. Thank you for visiting, and see you next time for more solutions.