Answered

IDNLearn.com: Your reliable source for finding expert answers. Ask your questions and receive accurate, in-depth answers from our knowledgeable community members.

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 determine the expression for [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 segments [tex]\(PR\)[/tex] and [tex]\(RS\)[/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 the like terms:
[tex]\[ PS = 4x + 3x - 2 - 5 \][/tex]

Simplify the expression:
[tex]\[ PS = (4x + 3x) - (2 + 5) \][/tex]
[tex]\[ PS = 7x - 7 \][/tex]

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

Hence, the correct expression is:
[tex]\[ \boxed{7x - 7} \][/tex]
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Find precise solutions at IDNLearn.com. Thank you for trusting us with your queries, and we hope to see you again.