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anonymous
 one year ago
Tom wants to hang a mirror in his room. The mirror and frame must have an area of 14 square feet. The mirror is 3 feet wide and 4 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?
Square with an inner frame with height of 3ft on the left frame and width of 4ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x.
4x2 + 14x − 2 = 0
3x2 + 10x − 14 = 0
2x2 + 12x − 14 = 0
x2 + 7x − 14 = 0
anonymous
 one year ago
Tom wants to hang a mirror in his room. The mirror and frame must have an area of 14 square feet. The mirror is 3 feet wide and 4 feet long. Which quadratic equation can be used to determine the thickness of the frame, x? Square with an inner frame with height of 3ft on the left frame and width of 4ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x. 4x2 + 14x − 2 = 0 3x2 + 10x − 14 = 0 2x2 + 12x − 14 = 0 x2 + 7x − 14 = 0

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Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2well, let's draw a picture of a 3*4 mirror with a frame that is x inches thick dw:1440372180188:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2now, let's see if we can write an expression, using x, for the width and length of the whole thing (mirror + frame)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So the answer would be C right?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2hm, not C, let's keep going dw:1440372299021:dw any ideas?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2can you tell me what the length and width are in terms of x?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2uh, not quite... let's just look at the length first, ok? do you see how the length of the whole thing is just the length of the mirror + x on each side?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2dw:1440372540133:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2almost but not quite... length of the mirror + width of the frame on each side = ?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2dw:1440372618481:dw maybe just look at it from one dimension?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2the length of the mirror is 4 and the width of the frame is x, so the total length is...?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2nope, not quite... dw:1440372717991:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2pretend that it's a straight line... add together length of mirror + width of frame = ?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2the answer isn't C.... hm, maybe I can break it down another way... let's just go back to our mirror, without the frame for nowdw:1440372900669:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2the length is 4, agreed?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2let's just forget about the frame for a sec and just look at the mirror... the mirror is 4 feet long, agreed?dw:1440372976654:dw

Plasmataco
 one year ago
Best ResponseYou've already chosen the best response.0... Y u so genius @Vocaloid

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2ok, now let's put the frame around it nowdw:1440373034973:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2can you tell me what this length is now? (we don't know what x is yet, but we can write an expression using x)dw:1440373076022:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2just add: width of frame + length of mirror + width of frame = ?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2your answer should involve x somehow

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2no, the answer isn't D, please stop guessing...

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2dw:1440373181795:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2the length is 4 + x + x, agreed?

Plasmataco
 one year ago
Best ResponseYou've already chosen the best response.0U sound like my mom when I do calculus. :3

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2alright, now can you find the width?dw:1440373262344:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2not quite.... just like before, we add width of mirror + width of frame + width of frame = ?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2dw:1440373318819:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2fantastic! so our length is 4 + 2x our width is 3 + 2x our area (stated in the problem is 14) so, do you think you can take it from here?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2area = (width)*(length) 14 = (4 + 2x)(3 + 2x) simplify that and you will get your answer....

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2start by doing FOIL on the right side

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2start by doing FOIL on the right side, please..... (4 + 2x)(3 + 2x) = ??

Plasmataco
 one year ago
Best ResponseYou've already chosen the best response.0@Vocaloid I believe she is correct

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2I already know the answer, I want her/him to learn so she/he can do this in the future without my guidance

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2right, I figured as much, just making sure so, start by doing FOIL on the right side... (4 + 2x)(3 + 2x) = ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Vocaloid Am i correct there is no way it can be D. And i already asked about B and C. So only possible can be is A? Am i correct?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2the point is to get the correct answer by actually doing the math, not by guessing... the answer is either A or B, I'll give you that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You said it wasn't b...

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2do you understand FOIL?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes. I am just in a big hurry

Plasmataco
 one year ago
Best ResponseYou've already chosen the best response.0Lol... U sound real stressed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.02x*2x+2x*3+4*2x+3*412

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2almost... (2x + 3)(2x + 4) = (2x)(2x) + (4)(2x) + (3)(2x) + (3)(4)

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2there's no 12 at the end but other than that, you're on the right track... now start combining like terms

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Vocaloid I am in a bigggg hurrrryyy

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0My school starts tomorrow and i almost finsihed

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2your deadline =/= my problem (2x)(2x) + (4)(2x) + (3)(2x) + (3)(4) 4x^2 + 8x + 6x + 12 = 4x^2 + 8x + 6x + 12 now we set that equal to 14...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I am tring to get this done

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.24x^2 + 8x + 6x + 12 = 14

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there is 40 more questions i have to do
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