A triangle has sides 2x – 5, 3x + 1, and 4x + 2.  Find the polynomial that represents its perimeter.?
827564
just add the sides -- that is the definition of a perimeter\n\n2x - 5 + 3x + 1 + 4x +2 \n= 9x - 2\n\nhope this helps !!!
878828
here's a non-rigorous fiddle for\nthis one-the full proof is too\nlong-winded\n\nlet s=(a+b+c)/2 ie s=half the perimeter of\na triangle\na,b and c, are the sides of triangle ABC\n\nstandard formulae:\n\nsin(A/2)=sqrt{(s-b)(s-c)/bc}\ncos(A/2)=sqrt{s(s-a)/bc}\n\nthe area of ABC\n=1/2bcsinA  (sine rule)\n=1/2bc*2sin(A/2)*cos(A/2)\n(standard trig identity)\n=bc*sqrt{(s-b)(s-c)/bc}\n      *sqrt{s(s-a)/bc}\n=bc*sqrt{s(s-a)(s-b)(s-c)}\n             /sqrt{(bc)^2}\n=(bc/bc)sqrt{s(s-a)(s-b)(s-c)}\n=sqrt{s(s-a)(s-b)(s-c)}  as required\n\nmany a good tune has been\nplayed on an old maths fiddle \n\ni hope that this helps
35250
Perimeter = a+b+c\n\nThis is the answer your maths teacher will be looking for.
505748
If the perimeter is 36 and 1 side is 4, then you know by the rules of a rectangle that 2 of the sides are equal.  So if 2 sides are 4 each, that is a total of 8.  to find the length of the other two sides, you subtract 8 from the total perimeter 36 which gives you 28.  So the sum of the remaining two sides is 28 and by definition of a rectangle, they are equal.  So 28/2 is 14.  So 2 sides are 14 in length and 2 sides are 4 in length.  \n\nto find square footage, which is also the AREA of the rectangle, multiply LxW which is 14x4 which gives you 56.
853619
There is a theorem related to polynomial divisions called the remainder theorem. Let p(x) be a polynomial of any degree. When it is divided by a linear polynomial of the form x - a, the remainder is p(a).\nAnswer 1:\nLet p(x) = x^5 - 3x^3 + x^2 - 3\nDivisor = x - 2\nHere, a = 2\np(2) = 2^5 - 3(2)^3 + 2^2 - 3\n= 32 - 24 + 4 - 3\n= 32 - 24 + 1\n= 8 + 1   \n= 9\n\nAnswer 2:\np(x) = x^5 - 3x^3 + x^2 - 3\nDivisor = x + 1\na = -1\np(-1) = (-1)^5 -3(-1)^3 + (-1)^2 - 3\n= -1 + 3 + 1 - 3\n= 0\n\nYou can check with actual division if you like. Looks like some of us have it wrong.
996625
Let the width be x ft and the length be y ft.\nSo perimeter is 2x + 2y = 74\nor x+y=37........(1)\n\nCalculating cost of lengths....\n2y*1 = 2y\n\nCalculating cost of widths....\n2x*4.5 = 9x\n\nTotal cost = 2y +9x = 159........(2)\n\nSolving (1) and (2) simultaneously you get x(width) = 12.14 ft and y(length) = 24.86 ft
25290
If you're looking for a simple polynomial expansion, you follow this simple rule: (A+B)(C+D)=AC+AD+BC+BD. In your case, 8x*3x+8x*(-1)+5*3x+5*-1. Solving, this becomes: 24x^2-8x+15x-5\nGrouping like terms: 24x^2 + 7x - 5 .\n\nIf you're solving for x, set each term = 0. In other words: 8x+5=0 and 3x-1 = 0. Solving, x=-5/8 and x=1/3.
774792
Let the length of side "b" be x ft.\nTherefore side a=2x and side c=2x+3\nAccording to the problem,\nx+2x+2x+3=93\n=>5x+3=93\n=>5x=93-3=90\n=>x=90/5=18\nTherefore.side a=2X18=36 and side c=36+3=39\nAnswer a=36ft. b=18 ft and c=39 ft
312049
For any polygon, you take the number of sides, subtract 2, and then multiply by 180.\n\nEx.  Triangle  (3-2)180 = 180\n     Quadrilateral (4-2)180 = 360\n     Pentagon (5-2)180 = 540\n\nAny polygon with n sides  (n-2)*180\n\n\nthen, if it is a regular polygon, (all sides and angles congruent), then divide that number by the number of sides.\n\n( (n-2)*180 ) /n
565133
We start by factoring the polynomial.  A little trial and error (testing the factors of 2, which is the constant term) reveals that 2 is a root.  So, we know that (x-2) is a factor.\n\nDividing the polynomial by (x-2) using synthetic division, we find the other factor is 6x^2+x-1.  This can be factored as (3x-1) (2x+1).\n\nSo, the equation, in factored form, is\n(x-2)(3x-1)(2x+1)=0\n\nSo, the roots are x=2, x=1/3, and x=-1/2.
598751
L=length w=width\n\nSo L=3w\n\nThe formula for perimeter is 2L+2W=P\nNow, you just plug in the variables and solve\n\n2(3W)+2W=64 --multiply 2 time 3W\n6W+2W=64    --add 6W and 2W\n8W=64    --Divide 8 on each side\nW=8\n\nWidth is 8 units\n\n--hope that helped
609947
Perimeter is the sum of the sides.  For example, if you have a 4 cm x 6 cm rectangle, you would add the 2 sides of 4 cm with the 2 sides of 6 cm to get 20 cm.  So the perimeter is 20 cm.\n\nFor area, it depends on the object you have.  If you have a kind of rectangle, you'd multiply the length times the width to get the area.  For a triangle, you'd multiply the base and the  height, then divide it by 2.\n\nTo see a drawing of a pentagon, go here:\n\nhttp://en.wikipedia.org/wiki/Pentagon
10440
It would be a trinomial because \n\nTrinomial is a polynomial with three terms which are not like terms. The following are all trinomials: x2 + 2x - 3, 3x5 - 8x4 + x3, and a2b + 13x + c.\n\nhttp://www.mathwords.com/t/trinomial.htm\nhttp://mathworld.wolfram.com/Trinomial.html
730817
Define the lengths of the smallest triangle:\nAP = ½ AC\nAQ = ½ AB\n\nSquare the equations:\nAP^2 = ¼ AC^2\nAQ^2 = ¼ AB^2\n\nPythagorean theorem for smallest triangle:\nAP^2 + AQ^2 = PQ^2\n\nSubstitute:\n ¼ AC^2 + ¼ AB^2= PQ^2\n\nMultiply by 4:\nAB^2 + AC^2 = 4PQ^2\n\nPythagorean theorem for triangles ABP and ACQ:\nAP^2 + AB^2 = BP^2\nAQ^2 + AC^2 = CQ^2\n\nAdd the two equations:\nBP^2 + CQ^2 = AP^2 + AQ^2 + AC^2 + AB^2 \n\nSubstitute:\nBP^2 + CQ^2 = PQ^2 + AC^2 + AB^2\n\nSubstitute:\nBP^2 + CQ^2 = PQ^2 + 4PQ^2\n\nTherefore:\nBP^2 + CQ^2 = 5PQ^2\n\n\nIf you get stumped with this type problem, sometimes it helps to start at the end and work backwards...
813209
perimeter= 4(L+W+H)\narea= length times the width times the height
972476
........._______________\nx - 5 ) x³ - 3x² - 13x + 15 ( x²\n......... x³ - 5x²\n......... -------- ....↓\n............... 2x² - 13x ....... ( 2x\n............... 2x² - 10x\n............... ----------- ....↓ \n............... ....... -3x + 15. (-3\n............... ....... -3x + 15\n............... ....... -----------\n............... ....... -----------\n\nSo P(x) = x³ - 3x² - 13x + 15\n= (x - 5)(x² + 2x - 3)
1029855
D\n\nSeriously, what class are you in? Algebra? Geometry? You chould know this!! It's the pythagorean theorm- [a2 +b2 =c2] (2's = squared).  You have a and b, the two adjacent sides of the triangle.  Therefore, it is the square root of 50, or approx. 7.07.  Thats SUPER important, make sure you remember it!