### (PDF) Equations of straight lines

Added on - 24 Apr 2021

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Page|1Name:Course:Professor:Date:
Page|2Q1a)a(5b-2)-5abOpening the brackets,5ab-2a-5abCollecting like terms together,5ab-5ab-2a= -2ab)2a(3b+4)+3b(1-3a)-6b+1Opening the brackets,6ab+8a+3b-9ab-6b+1Collecting like terms together,6ab-9ab+8a+3b-6b+1= -3ab+8a-3b+1Q2a)7e-8=-1207e=-120+87e=-112=e = -112/7 = -16b)5(3-2f)=4f-1= 15-10f = 4f-1= 15+1=4f+10f= 14f =16Therefore f=16/14 = 8/7 = 1 1/7c)2(2c+4) = -{(3c+6)/4}4(4c+8) = -(3c+6)16c+32 = -3c-616c+3c = -6-32
Page|319c =-38C=-2Q3a)M=24LT(D-T)L=6m, D=0.3m, T =5/100 = 0.05mM = 24 x 6 x 0.05x (0.3-0.05)= 24x 6 x 0.05 x 0.25M = 1.8tb)Transpose and make D subjectM =24LT (D-T)M/24LT = D-TD = M/24LT + Tc)Yes, the rigger can safely move the loadThe load outside diameter is less than 1mL=8m, T=0.04m and M=7.5tFinding the maximum outside diameters D for the load which can be lifted,7.5= 24 x 8 x 0.04(D-0.04)D-0.04 = 7.5/(24x8x0.04)D=0.9765625+0.04Maximum outside diameter which can be lifted is 1.164625m. this means that the availablediameter of less than 1m will be safely lifted.Q4a)i. mobile planC= 50 +7/100m, where m is the number of sms sent per monthii.total monthly cost = 67.5067.50 = 50+0.07m67.50-50=0.07m

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