Answered

Find answers to your questions and expand your knowledge with IDNLearn.com. Get accurate and comprehensive answers from our network of experienced 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 :

GinnyAnsweridn
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 using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.