Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
To find the expression for [tex]\( PS \)[/tex] given [tex]\( PR = 4x - 2 \)[/tex] and [tex]\( RS = 3x - 5 \)[/tex], follow these steps:
1. Understand that [tex]\( PS \)[/tex] is the sum of [tex]\( PR \)[/tex] and [tex]\( RS \)[/tex].
2. Add the expressions for [tex]\( PR \)[/tex] and [tex]\( RS \)[/tex]:
[tex]\[ PS = PR + RS \][/tex]
[tex]\[ PS = (4x - 2) + (3x - 5) \][/tex]
3. Combine the like terms in the expression:
- Combine the [tex]\( x \)[/tex] terms: [tex]\( 4x + 3x = 7x \)[/tex].
- Combine the constant terms: [tex]\( -2 - 5 = -7 \)[/tex].
So, the expression for [tex]\( PS \)[/tex] will be:
[tex]\[ PS = 7x - 7 \][/tex]
Therefore, the correct expression that represents [tex]\( PS \)[/tex] is:
[tex]\[ 7x - 7 \][/tex]
Among the given options, the correct one is:
[tex]\[ 7x - 7 \][/tex]
1. Understand that [tex]\( PS \)[/tex] is the sum of [tex]\( PR \)[/tex] and [tex]\( RS \)[/tex].
2. Add the expressions for [tex]\( PR \)[/tex] and [tex]\( RS \)[/tex]:
[tex]\[ PS = PR + RS \][/tex]
[tex]\[ PS = (4x - 2) + (3x - 5) \][/tex]
3. Combine the like terms in the expression:
- Combine the [tex]\( x \)[/tex] terms: [tex]\( 4x + 3x = 7x \)[/tex].
- Combine the constant terms: [tex]\( -2 - 5 = -7 \)[/tex].
So, the expression for [tex]\( PS \)[/tex] will be:
[tex]\[ PS = 7x - 7 \][/tex]
Therefore, the correct expression that represents [tex]\( PS \)[/tex] is:
[tex]\[ 7x - 7 \][/tex]
Among the given options, the correct one is:
[tex]\[ 7x - 7 \][/tex]
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.