A community for students.
Here's the question you clicked on:
 0 viewing
help_people
 one year ago
Tabitha wants to hang a painting in a gallery. The painting and frame must have an area of 58 square feet. The painting is 7 feet wide by 8 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?
Image of a frame 7 feet wide by 8 feet long, with an of x on the bottom and right sides
x2 + 15x − 2 = 0
x2 + 15x + 58 = 0
4x2 + 30x − 2 = 0
4x2 + 30x + 58 = 0
help_people
 one year ago
Tabitha wants to hang a painting in a gallery. The painting and frame must have an area of 58 square feet. The painting is 7 feet wide by 8 feet long. Which quadratic equation can be used to determine the thickness of the frame, x? Image of a frame 7 feet wide by 8 feet long, with an of x on the bottom and right sides x2 + 15x − 2 = 0 x2 + 15x + 58 = 0 4x2 + 30x − 2 = 0 4x2 + 30x + 58 = 0

This Question is Closed

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442710030323:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442710064925:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1can you tell me what this length is? dw:1442710140915:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1no the 7 is the vertical dimension I'm asking for the total horizontal dimension

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1hint: dw:1442710233263:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1idk how you're getting that

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1do you see the stuff I circled?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1add them up to get ???

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1x + 8 + x = ???

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1think of it like this `apple + apple = 2 apples` so `x + x = 2x` right?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so if x+x = 2x, then x+x+8 turns into what?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442710945434:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so hopefully you see how that total length marked in the drawing is 2x+8 feet?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what is this marked length here? dw:1442711082155:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442711337192:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1now if the length was 2x+8 and the width was 2x+7, then what is the area of the rectangle?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you have to multiply (2x+8) with (2x+7) FOIL it out

help_people
 one year ago
Best ResponseYou've already chosen the best response.1could you show me ?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1have you learned the box method? that's actually better than FOIL

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1good, you used the box method to get that? or some other method?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so the entire area of the rectangle (larger rectangle) is `4x^2+30x+56` they tell us that "The painting and frame must have an area of 58 square feet." so equate the two areas 4x^2+30x+56 = 58

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1now get everything to one side

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1subtract 58 from both sides

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442712284053:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442712322065:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442712342649:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.10 be left on the other side (since 5858 = 0) so we have this answer `4x^2 + 30x  2 = 0`

help_people
 one year ago
Best ResponseYou've already chosen the best response.1tahnks alot for everything :)
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.