A community for students.
Here's the question you clicked on:
 0 viewing
iwillrektyou
 one year ago
1. The area of a rectangle is (49x2  36y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (2 points)
2. The volume of a rectangular box is (x3 + 2x2  9x  18) cubic units. Determine the dimensions of the rectangular box by factoring the volume expression completely. Show your work.
iwillrektyou
 one year ago
1. The area of a rectangle is (49x2  36y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (2 points) 2. The volume of a rectangular box is (x3 + 2x2  9x  18) cubic units. Determine the dimensions of the rectangular box by factoring the volume expression completely. Show your work.

This Question is Closed

TheSmartOne
 one year ago
Best ResponseYou've already chosen the best response.2For #1, use the formula: \(\sf a^2b^2 = (ab)(a+b)\)

iwillrektyou
 one year ago
Best ResponseYou've already chosen the best response.0I did number 1, but I am highly doubtful of my answer. Number 2 is confusing me a little.

TheSmartOne
 one year ago
Best ResponseYou've already chosen the best response.2What answer did you get?

iwillrektyou
 one year ago
Best ResponseYou've already chosen the best response.0I factored out the GCF and couldn't factor it out further, so I got: 9[9x^2  4y^2]

TheSmartOne
 one year ago
Best ResponseYou've already chosen the best response.2How did you even get 9?? Use the formula I gave you (:

iwillrektyou
 one year ago
Best ResponseYou've already chosen the best response.0I have no idea. I just used 9 because it was a common factor between 49 and 36. I will use your formula, thank you. :)

TheSmartOne
 one year ago
Best ResponseYou've already chosen the best response.249 is a perfect square. Its only factors are: 1, 7, 49

iwillrektyou
 one year ago
Best ResponseYou've already chosen the best response.0Oh shoot careless mistake.

iwillrektyou
 one year ago
Best ResponseYou've already chosen the best response.0Thanks for pointing it out.

TheSmartOne
 one year ago
Best ResponseYou've already chosen the best response.2\(\sf a^2b^2 = (ab)(a+b)\) \(\sf 49x^2  36y^2 = (7x)^2  (6y)^2\) Thus, implying that: \(\sf a \to 7x\) \(\sf b \to 6y\) Plug it into the formula :)

iwillrektyou
 one year ago
Best ResponseYou've already chosen the best response.0I think I understand the next problem now, I just factor it out (hopefully no careless mistakes this time!)

TheSmartOne
 one year ago
Best ResponseYou've already chosen the best response.2we're not done with #1 yet :p

iwillrektyou
 one year ago
Best ResponseYou've already chosen the best response.0(7x  6y) (7x + 6y)?

iwillrektyou
 one year ago
Best ResponseYou've already chosen the best response.0Thanks for the help! This is the answer for #1?

TheSmartOne
 one year ago
Best ResponseYou've already chosen the best response.2For your second question, do you know how to group factor?

TheSmartOne
 one year ago
Best ResponseYou've already chosen the best response.2Let me show you an example of group factoring \(\sf ax + bx + ay + by = x(a+b) + y(a+b) = (x+y)(a+b)\)

iwillrektyou
 one year ago
Best ResponseYou've already chosen the best response.0Oh yes, I do know how. Can you check my work/answers after I'm done?

TheSmartOne
 one year ago
Best ResponseYou've already chosen the best response.2sure :) I'd love to (:

iwillrektyou
 one year ago
Best ResponseYou've already chosen the best response.0x^3 + 2x^2  9x  18 x^2(x + 2) 9(x + 2) (x + 2) (x^2  9) (x + 2) (x  3) (x + 3)

iwillrektyou
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much for helping me and spending time to read this!!:D
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.