Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Get immediate and reliable solutions to your questions from a community of experienced professionals 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 representing [tex]\( PS \)[/tex], we need to add the expressions for [tex]\( PR \)[/tex] and [tex]\( RS \)[/tex]:

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

To find [tex]\( PS \)[/tex]:
[tex]\[ PS = PR + RS \][/tex]

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

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

First, add the [tex]\( x \)[/tex]-terms:
[tex]\[ PS = 7x - 2 - 5 \][/tex]

Then, combine the constants:
[tex]\[ PS = 7x - 7 \][/tex]

So, the expression that represents [tex]\( PS \)[/tex] is:
[tex]\[ 7x - 7 \][/tex]

Therefore, the correct answer is:
[tex]\[ 7x - 7 \][/tex]
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.