Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
Answer:
To factor the expression 70x2+73x−35 by grouping, we first need to find two numbers that multiply to 70×(−35)=−2450 and add up to 73.
The two numbers that satisfy these conditions are 98 and -25 because:
\[ 98 \times (-25) = -2450 \]
\[ 98 + (-25) = 73 \]
Now we can rewrite the middle term 73x using these two numbers:
\[ 70x^2 + 98x - 25x - 35 \]
Next, we group the terms in pairs:
\[ (70x^2 + 98x) - (25x + 35) \]
Now factor out the greatest common factor (GCF) from each pair:
\[ 14x(5x + 7) - 5(5x + 7) \]
Notice that (5x+7) is a common factor:
\[ (5x + 7)(14x - 5) \]
Therefore, the factors of the area expression 70x2+73x−35 are (5x+7) and (14x−5).
Thus, the length and width of the park are (5x+7) meters and (14x−5) meters, respectively.
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.
