Mat hsFor mul aSheetMEM30012A Equat i onofal i ne y=mx+b CASI O FX82 Res etc al c ul at or Conver t i ng. . . Rect angul art oPol ar : 2 2 r=( x+y) Q=at an( y/ x) Pol art oRect angul ar : x=r * si n( Q) y=r * cos( Q) m =gr adi ent b=yaxi si nt er cept b=4 Or derofOper at i ons. m =-2/ 3 Oper at i onswi t ht hesamepr i or i t y ar epr ocessedf r om l ef tt or i ght 1.Br acket s 2.Funct i onswi t hbr acket ssi n( 30) 3 3.Power s72,( a+4) 4.Fr act i ons 2 5.Negat i vesi gn42=16souse( 4) 6.Mul t i pl i cat i on/di vi si on 7.Addi t i on/subt r act i on y= 3 2/ 3x +4 2 Di st ancebet ween2poi nt s: 2 2 di st= ( y2y1) +( x2x1) Rul esf orI ndi ces m m m ( ab) =a xb am xan=am+n am I an=am-n n ( am) =amxn uck! am +an=badl 0 a =1 3 1 a2= 3 a1=a a a-1=1/ a a1/n= n a NumberNot at i ons Sci ent i f i cNot at i on.Onedi gi tbef or edec i mal pl ac eandt henpoweroft en. 4 35500=3. 55x10 =3. 55E4 Engi neer i ngNot at i on.Bet ween1and3di gi t s bef or edec i mal pl ac eandpower soft eni nmul t i pl esof3. 35500=35. 5x103=35. 5E3 Si gni f i cantf i gur es.St ar t i ngf r om t hel ef t , f i ndt hef i r s tnonz er odi gi tandc ountnumberof di gi t s . 0. 0357=3s f ,27. 501=5s f ,0. 00005=1s f Ri ghtAngl eTr i angl es O H A Scal ene( r andom)t r i angl e.Si ne&Cosi ner ul es Ci r cl es Di amet er Ci r c um =2pr C Se hor gm d en t Ra di us Sec t or e r nt e C 2 Ta ea=pr ng Ar en t Poi nt gent Tan 1.Tr i angl esof fac hor d: Angl eatc ent r e=2xangl e atc i r c umf er enc e. 2.Tr i angl esof fac hor d: Al way st hes ameangl eat c i r c umf er enc e( orc ent r e) . a a a 3.Cy c l i cQuadr i l at er al : Oppos i t eangl esaddupt o 180o 4.Angl eof fadi amet eri s 0 al way s90 5.Angl ebet weent angent andr adi usi sal way s900 x1= b+ b2-4 a c 2 a x2= b- b -4 a c 2 a b C a A c 2 B Si mul t aneousEquat i ons Equat i onswi t hmul t i pl eunkowns.Youneed1( di f f er ent )equat i on f orever yunknown. Met hodofSubst i t ut i on:E. g.a&b 1.Tr ansposeanequat i ont ogeta=. . . . 2.I nser tt hi sequat i onever yt i meaappear si nt heot herequat i on. 3.Sol vet hi sequat i ont of i ndb St at i st i cs 3, 8, 9, 7, 5, 7, 2, 6, 4 Mi ni mum =s mal l es tv al ue2 Maxi mum =l ar ges tv al ue9 Range=Max-Mi n7 Count=Numberofv al ues9 Tot al=Sum ofal l v al ues51 Aver age=Tot al /Count5. 667 Medi an=Mi ddl es c or ewhen s or t edi nas c endi ngor der 6, 2, 3, 4, 5, 7, 7, 8, 9 Vol ume,Ar ea Ar eaofr ect angl e=bxh Ar eaofpar al l el ogr am = basexper phei ght Ar eaoft r i angl e= 1/ 2xbasexper phei ght Vol umeofanypr i sm = Ar eaofbasexhei ght Vol umeofanycone= Ar eaofbasexhei ght/3 3 Vol umeofspher e=4/ 3p r