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//-->ALGEBRAQUADRATIC FORMULASPECIAL PRODUCT FORMULASSPECIAL FACTORING FORMULASIfaax20, the roots ofbx c0 arexb2b2xx4acxxxy xyyyy2233yx2x2x3x3x22xy2xy3x2y3x2yy2y2y23xy23xy2y3y3x2x2x2x3x3y22xy2xyy3y3xy2y2xxy xxxy x2y x2yyy222axyxyy2y2EXPONENTS AND RADICALSBINOMIAL THEOREMINEQUALITIESamanamababamanannnnamamnna1/nam/nam/n2abnn2a2am2annmnnxynxnnn1x y1nn k kx yknn2 2x y2yn,IfaIfaIfaIfabandbb,thenabandcbandcc,thenacbccanbnanbnn0, thenac0, thenacbcbc2a2b2a2b2amnnnnwheream1anabnnkn!k! nk!m2aABSOLUTE VALUEdSEQUENCESEXPONENTIALS AND LOGARITHMSxxdif and only ifd x ddif and only if eitherxdorxdnthterm of an arithmetic sequence with firstterma1and common differencedana1n1dylogaxmeansaylogaylogayxlogaxylogaxylogaxlogaxrlogaxxx1log10xlogexlogaulogabMEANSSumSnof the firstnterms of an arithmeticsequencena1anSn2orSnn2a12n1dlogaxralogxaArithmetic meanAofnnumbersAa1a2nanlogaaxloga1logaalogxlnxlogbuGeometric meanGofnnumbersGa1a2an1/nnthterm of a geometric sequence with firstterma1and common ratiorana1rn1,akSumSnof the firstnterms of a geometricsequenceSna111rnrFORMULAS FROM GEOMETRYareaAperimeterPcircumferenceCvolumeVcurved surface areaSaltitudehradiusrRIGHT TRIANGLETRIANGLEEQUILATERAL TRIANGLEcachbashssbPythagorean Theorem:c2RECTANGLEa2b2A12bhPabch232sA234s2PARALLELOGRAMwTRAPEZOIDahbhblAlwPCIRCLE2l2wAbhA12abhCIRCULAR SECTORCIRCULAR RINGrursRrAr2C2rA122rsrAR2r2RECTANGULAR BOXSPHERERIGHT CIRCULAR CYLINDERhwlrhrVlwhS2hllwhwV43r3S4r2Vr2hS2rhRIGHT CIRCULAR CONEFRUSTUM OF A CONErPRISMhhhrRV13r2hSr2r2h2V13h r2rRR2VBhwithBthe area of the baseANALYTIC GEOMETRYDISTANCE FORMULAEQUATION OF A CIRCLEd P1,P2y2x2x12y2y12yrxh2yk2r2P1(x1,y1)P2(x2,y2)x(h,k)xSLOPEmOF A LINEyl(x1,y1)(x2,y2)xGRAPH OF A QUADRATIC FUNCTIONmy2x2y1x1yax2,ayyax2ycbxc, axb2axPOINT-SLOPE FORM OF A LINEyl(x1,y1)xCONSTANTSyy1mxx1e3.141592.71828CONVERSIONS1 centimeter1 meter0.3937 inchSLOPE-INTERCEPT FORM OF A LINEyl(0,b)x3.2808 feet0.6214 mile1 kilometerymxb1 gram0.0353 ounce2.2046 pounds1 kilogram1 liter0.2642 gallon0.0381 fluid ounce1 milliliter1 joule1 newton1a0,b1 lumen1 acreINTERCEPT FORM OF A LINEy(0,b)(a, 0)x0.7376 foot-pound0.2248 pound0.0015 watt43,560 square feetlxaybCLASSIC TWELFTH EDITIONALGEBRA ANDTRIGONOMETRYWITH ANALYTIC GEOMETRYE A R L W. S W O K O W S K IJEFFERY A. COLEAnoka Ramsey Community CollegeAustralia • Brazil • Japan • Korea • Mexico • Singapore • Spain • United Kingdom • United States [ Pobierz całość w formacie PDF ]