Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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].
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.