Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

If [tex]\( PR = 4x - 2 \)[/tex] and [tex]\( RS = 3x - 5 \)[/tex], which expression represents [tex]\( PS \)[/tex]?

A. [tex]\( x - 7 \)[/tex]
B. [tex]\( x - 3 \)[/tex]
C. [tex]\( 7x - 7 \)[/tex]
D. [tex]\( 7x + 3 \)[/tex]

Sagot :

GinnyAnswer
To find the expression that represents [tex]\( PS \)[/tex], we need to sum the given expressions for [tex]\( PR \)[/tex] and [tex]\( RS \)[/tex].

Given:
[tex]\[ PR = 4x - 2 \][/tex]
[tex]\[ RS = 3x - 5 \][/tex]

The segment [tex]\( PS \)[/tex] is the sum of [tex]\( PR \)[/tex] and [tex]\( RS \)[/tex]:
[tex]\[ PS = PR + RS \][/tex]

Let's substitute the given expressions for [tex]\( PR \)[/tex] and [tex]\( RS \)[/tex]:
[tex]\[ PS = (4x - 2) + (3x - 5) \][/tex]

Now, we combine like terms:
[tex]\[ PS = 4x + 3x - 2 - 5 \][/tex]
[tex]\[ PS = 7x - 7 \][/tex]

Thus, the expression that represents [tex]\( PS \)[/tex] is:
[tex]\[ \boxed{7x - 7} \][/tex]

So, the correct answer is [tex]\(7x - 7\)[/tex].
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.