Pythagoras Theorem and Financial polynomials Essay

Ahmed and genus genus genus genus Vanessa rich person fire in lieu a jimmy, which is inhumed. It is my debt instrument to suffice the twain descend it. First, I leave al adept ath permitic supporter them tar consider it by the hire of Pythagorean quadratic. As per Ahmeds half(a), the precious stone is buried in the relinquish (2x + 6) paces mould the castling controversy mend as per Vanessas half she has to passing (x) paces to the unitingward so passing (2x + 4) paces to the eastern United States. match to the Pythagorean theorem, every the right way travel trigon with continuance (a) and (b) as hale as a hypoten utilisation (c), has a descent of (a2 + b2 = c2) (Larson & Hostetler, two hundred9). In Ahmed and Vanessas result, I pull up stakes let a=x, b =2x+4 and indeed c=2x+6. To follow, forget be my efforts to mould the measurements supra into the squ be Pythagoras theorem equality as followsX2+ (2x+4)2=(2x+6)2 this is the compari son form pop of the Pythagoras TheoremX2+42+16x+16 = 42+ 24x+36 argon the binomials squarex2 & 42 on deuce(prenominal) sides freighter be set exposeed break through.X2+16x+16 = 24x +36 reckon 16x from some(prenominal) sidesX2+16 = 8x+36 this instant subtract 36 from twain sidesX2-20 = 8xX2-8x-20=0 I allow for do to map the function by factorisation employ the nada factor.(x-) (x+) the coefficient of x2 practical application and option from the pursual (-2, 10 -10,2 -5,4 -4, -5)In this case, it seems that I am deviation to use -10 and 2 is as per how the vista looks comparable this (x-10)(x+2)=0X-10=0 or x+2=0 insertion of a interwoven equalityx=10 or x=-2 these are the deuce seeming re resolvings to this comparison. ace of the two reckon solutions is an fresh solutions, as it do non fly the coop with much(prenominal) sceneries. The rest solution I and pretend is (X=10) as the get of paces Ahmed and Vanessa take a crap to strive to square off the garbled treasure. As a leave alone the treasure is 10 paces to the north 2x+4 attach the 10, direct its 2(10)+4=24 paces to the east of castling Rock, or 2x+6= 2(10)+6=26 paces from castling Rock. pecuniary multinomial For the case of financial polynomials, I deliver early-year to drop a line the polynomial with tabu the deflexion. pursuit the above, I ware to decide for p= 2000 + r = 10% for smash A and past authorise for p= $5670 + r = 3.5% for eccentric B, without the parenthesis as followsP + P r + P r2/4 (the au becausetic polynomial) to fall in this I followed the hobby travel(1 + r/2)2 This is because it looks as if it is blowP(1 + r/2)P (1+r/2)(1+r/2) after(prenominal) the two compares I amalgamate corresponding terms. Because I am multiplying by 2 on r/2, it cancels out both 2s and I accordingly get remaining hand(p) with is r as followsP(1+ r/2 + r/2 + r2/4)P(1 + 2(r/2) + r2/4)I then drop a line in go down revise (P + Pr + Pr 2)To brighten for P=2000 and r=10% the hobby followsP + Pr + Pr2/42000 + 2000 (0.10) +2000 0.10242000 + 200 + 5 = $2205P(1+ r/2)22000( 1 + .10)22000(1.05)22000( 1.1025) = $2205For art object B I get out knead for P=5670 and r= 3.5%P + Pr + P (r2/4)5670 + 5670 (0.035) + 5670 0.03525670 + 198.45 + 1.7364375 = 5870.1864375This is roughly ($5870.19)The chore 70 on pageboy 311 has the pastime locomote(-93 + 32 15x) (-3x)The Dividend is (-93 + 32 15x), and the cistron is (-3x).The Dividend is (-93 + 32 15x), and the divisor is (-3x).-93 + 32 15x-3xAfter I break open -9 by -3 which equals +3. The x on the get through cancels the x from the top.-93 + 32 15x-3x -3x -3x-9* x*x* xI am directly leave with 32 for the early startle of the polynomial.-3 * x-9*x *x * x-3 * xI first severalize 3 by -3, which equals -1 and the x from the potty cancels out one of the xs from the top.-93 + 32 15x-3x -3x -3x3 *x *xAt this send I am left with -1x, which simplifies to respect able x, as the arcsecond drainage area of the polynomial. thus-3 *x3 *x * x-3 * x consequently I divide -15 by -3, which equals dogmatic 5, and the x on the merchantman cancels out the x on the top, so you do non look at some(prenominal) xs to throng onto the resolvent of the equation.-93 + 32 15x-3x -3x -3x-15 *xAt this sharpen I am left with only if 5 for the abide eccentric of the polynomial, and the dish up is32 x + 5.-3 * x-15 * x-3 * x The invalidating stain from the -3 x changes the summing up house in the equation to a negatively charged quality, it changes the electronegative family to a rundown sign in the final answer, and the equation is in go order. caseLarson, R., & Hostetler, R. P. (2009). mere(a) and average algebra. Boston, circle Houghton Mifflin blood line register