palavraaa2

8/17/2019 palavraaa2

1/16

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O%. 33WXnyzzn33nX Wzzrv33nX ---------------------------------------------------------------------------------- "#

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5/16

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7/16

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9/16

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Thzzss &' & ; & X 3 < &' ; 6&'.

44n th33 ssXMM33 wXy,

35 2= 3 X (3+O) /25 = 3 X 4/ 25 = O225;

65 2= 6 X 7 / 25 = 4225;

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O352

= O3 X O4/25 = O8225;

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(O0X + 5) 2 = X2 . O02 + 2. O0X . 5 + 5 2

= X2 . O02+ X.O02+ 5 2

= (X2+ X ) . O02 +5 2


10/16

8

= X (X + O) . O02 + 25.

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Xnd b = 5. g44v44ng th33 Xnssw33r X (X+O) / 25thXt 44ss, 4 (4+O) / 25 + 4 X 5 / 25 = 2025.

" Xny thr3333 d44g44t nzzMM"33r 44ss VVf th33 fVVrMM X&:" :c fVVr ;O0, X > 0, X, ", c ?W.

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= X2 x4+2Xb.x3+(b 2+ 2cX)x2+2bc . x+ c 2.

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; X &.O0 4 : (&X" : X .O0 3 : (" &: " O0 & :' &

= [ X2.O02 +2Xb.O0 + X.O0 + b2 + b] O02+ 5 2

; (O0X : " ( O0X:":O .O0 & : &'


11/16

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X) D44v44ss44VVn MM33thVVd : VXVzz33 VVf O / O9.

Th33 nzzMM"33rss VVf d33c44MMXV WVXc33ss "33fVVr33 r33W33t44t44VVn 44ss th33 d4Xnd d33nVVMM44nXtVVr, 44.33.,, O9 -O;O8 WVXc33ss.

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Th33 sszztrX 44ss XWWV4433d 44n X d44ff33r33nt cVVnt33 t. VVw th33 MM33thVVd VVf

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sst33W. O 44v44d33 nzzMM33rXtVVr O "y &0.

44.33.,, O / 20 = 0.O / 2 = .O0 ( 0 t44MM33ss, O r33MMX44nd33r)sst33W. 2 : D44v44d33 O0 by 2


12/16

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44.33.,, 0.00 '( ' t44MM33ss, 0 r33MMX44nd33r

sst33W. 3 : D44v44d33 5 by 2

44.33.,, 0.05O2 ( 2 t44MM33ss, O r33MMX44nd33r )

sst33W. 4 : D44v44d33O2

44.33.,, O2 by 2

44.33.,, 0.0526 ( 6 t44MM33ss, NVV r33MMX44nd33r )

sst33W. 5 : D44v44d33 6 by 2

44.33.,, 0.05263 ( 3 t44MM33ss, NVV r33MMX44nd33r )

sst33W. 6 : D44v44d33 3 by 2

44.33.,, 0.05263OO(O t44MM33, O r33MMX44nd33r )

sst33W. 7 : D44v44d33OO 44.33.,, OO by 2

44.33.,, 0.05263OO5 (5 t44MM33ss, O r33MMX44nd33r )

sst33W. 8 : D44v44d33O5 44.33.,, O5 by 2

44.33.,, 0.05263O5O7 ( 7 t44MM33ss, O r33MMX44nd33r )

sst33W. 9 : D44v44d33O7 44.33.,, O7 by 2

44.33.,, 0.05263O57O8 (8 t44MM33ss, O r33MMX44nd33r )

sst33W. O0 : D44v44d33O8 44.33.,, O8 by 2

44.33.,, 0.05263O5789 (9 t44MM33ss, NVV r33MMX44nd33r )

sst33W. OO : D44v44d33 9 by 2

44.33.,, 0.05263O5789O4 (4 t44MM33ss, O r33MMX44nd33r )

sst33W. O2 : D44v44d33O4 44.33.,, O4 by 2

44.33.,, 0.05263O578947 ( 7 t44MM33ss, NVV r33MMX44nd33r )

sst33W. O3 : D44v44d33 7 by 2


13/16

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sst33W. O4 : D44v44d33O3 44.33.,, O3 by 2


sst33W. O5 : D44v44d33O6 44.33.,, O6 by 2

44.33.,, 0.05263O578947368 (8 t44MM33ss, NVV r33MMX44nd33r )

sst33W. O6 : D44v44d33 8 by 2


sst33W. O7 : D44v44d33 4 by 2


sst33W. O8 : D44v44d33 2 by 2

44.33.,, 0.05263O57894736842O ( O t44MM33, NVV r33MMX44nd33r )

NVVw frVVMM sst33W O9, 44.33.,, d44v44d44ng O by 2, sst33W 2 tVV sst33W. O8 r33W33Xtss thzzss g44

0 . . O / O9 =0.05263O57894736842O VVr 0.05263O57894736842O

VVt33 thXt w33 hXv33 cVVMMWV33t33d th33 WrVVc33ssss VVf d44v44ss44VVn VVnVy "yth33 d44v44ss44VVn "y O9 VVcczzrss.

" MMzzVt44WV44cXt44VVn MM33thVVdVXVzz33 VVf O < O9

144rsst w33 r33cVVgn44z33 th33 VXsst d44g44t VVf th33 d33nVVMM44nXtVVr VVf th33 tyVXsst d44g44t 44ss 9.

1VVr X frXct44VVn VVf th33 fVVrMM 44n whVVss33 d33nVVMM44nXtVVr 9 44ss th33 VXsstcXss33 VVf O < O9 Xss fVVVVVVwss

1VVr O < O9, +Wr33v44VVzzss+ VVf O9 44ss O. Xnd VVn33 MMVVr33 thXn VVf 44t 44ss O :

Th33r33fVVr33 & 44ss th33 MMzzVt44WV4433r fVVr th33 cVVnv33rss44VVn. W33 wr44t33nzzMM33rXtVVr Xss O Xnd fVVVVVVw th33 sst33Wss V33ftwXrdss.

sst33W. O : O


14/16

O2

sst33W. 2 : 2O(MMzzVt44WVy O by 2, Wzzt tVV V33ft)

sst33W. 3 : 42O(MMzzVt44WVy 2 by 2, Wzzt tVV V33ft)

sst33W. 4 : 842O(MMzzVt44WVy 4 by 2, Wzzt tVV V33ft)

sst33W. 5 : O6842O(MMzzVt44WVy 8 by 2 =O6, O cXrr4433d VVv33r, 6 Wzzt tVV V33ft)

sst33W. 6 : O36842O( 6 X 2 =O2,+O [cXrry VVv33r]

= O3, O cXrr4433d VVv33r, 3 Wzzt tVV V33ft )

sst33W. 7 : 736842O ( 3 X 2, = 6 +O [CXrryVVv33r]

= 7, Wzzt tVV V33ft)

sst33W. 8 : O4736842O (Xss 44n th33 ssXMM33 WrVVc33ssss)

sst33W. 9 : 94736842O ( DVV – cVVnt44nzz33 tVV sst33W O8)

sst33W. O0 : O894736842O

sst33W. OO : O7894736842O

sst33W. O2 : O57894736842O

sst33W. O3 : OO57894736842O

sst33W. O4 : 3O57894736842O

sst33W. O5 : 63O57894736842O

sst33W. O6 : O263O57894736842O

sst33W. O7 : 5263O57894736842O

sst33W. O8 : O 05263O57894736842O

NVVw frVVMM sst33W O8 VVnwXrdss th33 ssXMM33 nzzMMb33rss Xnd VVrd33r tVVwXrdss V33ft cVV Thzzss O / O9 = 0.05263O57894736842O

44t 44ss 44nt33r33sst44ng tVV nVVt33 thXt w33 hXv33

44) nVVt Xt XVV zzss33d d44v44ss44VVn WrVVc33ssss


15/16

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VVbss33rvXt44VVnss :

X) FVVr Xny frXct44VVn VVf th33 fVVrMM O / X9 44.33.,, 44n whVVss33 d33nVVMM44nXtVVr 9 44ss th33 d44g44t 44

Xnd X 44ss th33 ss33t VVf r33MMX44n44ng d44g44tss, th33 vXVzz33 VVf th33 frXct44VVn 44ss 44n r33czr33W33Xt44ng bVVVcW’ss r44ght MMVVsst d44g44t 44ss O.

b) WhXt33v33r MMXy b33 X9, Xnd th33 nzzMM33rXtVVr, 44t 44ss 33nVVzzgh tVV fVVVVVVw th33 ss3344th33r 44n d44v44ss44VVn VVr 44n MMzzVt44WV44cXt44VVn.

c) sstXrt44ng frVVMM r44ght MMVVsst d44g44t Xnd cVVzznt44ng frVVMM th33 r44ght, w33 ss3333 ( 44O9)

sszzMM VVf Osst

d44g44t + O0th

d44g44t = O + 8 = 9

sszzMM VVf 2nd d44g44t + OOth d44g44t = 2 + 7 = 9

- - - - - - - - -- - - - - - - - - - - - - - - - - - -

sszzMM VVf 9th d44g44t + O8th d44g44t = 9+ 0 = 9

FrVVMM th33 XbVVv33 VVbss33rvXt44VVnss, w33 cVVncVzzd33 thXt 44f w33 f44nd f44rsst 9 d44g

b33 d33r44v33d Xss cVVMMWV33MM33ntss VVf 9.

44) Thzzss Xt th33 sst33W 8 44n d44v44ss44VVn WrVVc33ssss w33 hXv33 0.05263O5O7 Xnd n33xt sst33W. 9 g44v33ss

0.05263O578

NVVw th33 cVVMMWV33MM33ntss VVf th33 nzzMMb33rss

0, 5, 2, 6, 3, O, 5, 7, 8 frVVMM 9

9, 4, 7, 3, 6, 8, 4, 2, O fVVVVVVw th33 r44ght VVrd33r

44.33.,, 0.05263O57894736842O

NVVw tXW44ng th33 MMzzVt44WV44cXt44VVn WrVVc33ssss w33 hXv33

sst33W. 8 : O4736842O


16/16

O4

sst33W. 9 : 94736842O

NVVw th33 cVVMMWV33MM33ntss VVf O, 2, 4, 8, 6, 3, 7, 4, 9 frVVMM 944.33.,, 8, 7, 5, O, 3, 6, 2, 5, 0 Wr33c33d33 44n sszzcc33ssss44v33 sst33Wss, g44v44ng th33

0.0'&63O'@894@3684&O .

d Wh33n w33 g33t ( 33nVVMM44nXtVVr zzMM33rXtVVr Xss th33 WrVVdzzct 44n th33WrVVc33ssss, hXVf th33 wVVrW 44ss dVVn33. W33 sstVVW th33 MMzzVt44WV44cXt44VVnMM33chXn44cXVVy wr44t33 th33 r33MMX44n44ng hXVf VVf th33 Xnssw33r "y MM33r33VycVVMMWV33MM33ntss frVVMM 9.

33 3344th33r d44v44ss44VVn VVr MMzzVt44WV44cXt44VVn WrVVc33ssss VVf g44v44ng thss44ngV33 V44n33 fVVrMM.

XVg33"rX44c WrVVVVf

Xny vzzVgXr frXct44VVn VVf th33 fVVrMM O < X9 cXn "33 wr44tt33n Xss

O < X9 ; O < ( (X : O - O wh33r33 ; O0

O;

( X : O

[O - O

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