Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A 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 determine the expression representing [tex]\( PS \)[/tex], we'll start with the given expressions for [tex]\( PR \)[/tex] and [tex]\( RS \)[/tex]:

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

The total distance [tex]\( PS \)[/tex] is the sum of [tex]\( PR \)[/tex] and [tex]\( RS \)[/tex]:

[tex]\[ PS = PR + RS \][/tex]

Substituting the given expressions for [tex]\( PR \)[/tex] and [tex]\( RS \)[/tex]:

[tex]\[ PS = (4x - 2) + (3x - 5) \][/tex]

Now we need to combine the like terms (terms with [tex]\( x \)[/tex] and the constant terms):

[tex]\[ PS = 4x + 3x - 2 - 5 \][/tex]

Combine the [tex]\( x \)[/tex] terms:

[tex]\[ 4x + 3x = 7x \][/tex]

Combine the constant terms:

[tex]\[ -2 - 5 = -7 \][/tex]

Therefore, combining both results:

[tex]\[ PS = 7x - 7 \][/tex]

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

[tex]\[ 7x - 7 \][/tex]

Hence, the correct answer is:

[tex]\[ \boxed{7x - 7} \][/tex]
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.