Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

If [tex]JM = 5x - 8[/tex] and [tex]LM = 2x - 6[/tex], which expression represents [tex]JL[/tex]?

A. [tex]3x - 2[/tex]
B. [tex]3x - 14[/tex]
C. [tex]7x - 2[/tex]
D. [tex]7x - 14[/tex]

Sagot :

GinnyAnswer
To determine the expression representing [tex]\( JL \)[/tex], let's consider the given information:
- [tex]\( JM = 5x - 8 \)[/tex]
- [tex]\( LM = 2x - 6 \)[/tex]

The length [tex]\( JL \)[/tex] is the sum of [tex]\( JM \)[/tex] and [tex]\( LM \)[/tex]. So, we need to add the two expressions:

[tex]\[ JL = JM + LM \][/tex]

Substitute the given expressions for [tex]\( JM \)[/tex] and [tex]\( LM \)[/tex]:

[tex]\[ JL = (5x - 8) + (2x - 6) \][/tex]

Now, combine like terms:

1. Combine the [tex]\( x \)[/tex]-terms:
[tex]\[ 5x + 2x = 7x \][/tex]

2. Combine the constant terms:
[tex]\[ -8 - 6 = -14 \][/tex]

Putting it all together, we get the expression:
[tex]\[ JL = 7x - 14 \][/tex]

Thus, the correct expression representing [tex]\( JL \)[/tex] is:

[tex]\[ 7x - 14 \][/tex]

Among the given options, the expression [tex]\( 7x - 14 \)[/tex] corresponds to the fourth option. Therefore, the correct answer is:
[tex]\[ \boxed{7x - 14} \][/tex]
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.