Elementary Technical Mathematics
12th Edition
ISBN: 9781337630580
Author: Dale Ewen
Publisher: Cengage Learning
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Textbook Question
Chapter 10.6, Problem 12E
Factor completely:
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Vector u has a magnitude of 23 and vector v has a magnitude of 83. The angle between the two vectors is 126 degrees.a) Draw a fully-labelled vector diagram showing the two vectors and the resultant vector when they are added together.b) Find the magnitude of the resultant vector.c) Find the direction of the resultant vector relative to vector u.
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Chapter 10 Solutions
Elementary Technical Mathematics
Ch. 10.1 - Factor: 4a+4Ch. 10.1 - Factor: 3x6Ch. 10.1 - Factor: bx+byCh. 10.1 - Factor: 918yCh. 10.1 - Factor: 15b20Ch. 10.1 - Factor: 12ab+30acCh. 10.1 - Factor: x27xCh. 10.1 - Factor: 3x26xCh. 10.1 - Factor: a24aCh. 10.1 - Factor: 7xy21y
Ch. 10.1 - Factor: 4n28nCh. 10.1 - Factor: 10x2+5xCh. 10.1 - Factor: 10x2+25xCh. 10.1 - Factor: y28yCh. 10.1 - Factor: 3r26rCh. 10.1 - Factor: x3+13x2+25xCh. 10.1 - Factor: 4x4+8x3+12x2Ch. 10.1 - Factor: 9x415x218xCh. 10.1 - Factor: 9a29ax2Ch. 10.1 - Factor: aa3Ch. 10.1 - Factor: 10x+10y10zCh. 10.1 - Factor: 2x22xCh. 10.1 - Factor: 3y6Ch. 10.1 - Factor: y3y2Ch. 10.1 - Factor: 14xy7x2y2Ch. 10.1 - Factor: 25a225b2Ch. 10.1 - Factor: 12x2m7mCh. 10.1 - Factor: 90r210R2Ch. 10.1 - Factor: 60ax12aCh. 10.1 - Factor: 2x2100x3Ch. 10.1 - Factor: 52m2n213mnCh. 10.1 - Factor: 40x8x3+4x4Ch. 10.1 - Factor: 52m214m+2Ch. 10.1 - Factor: 27x354xCh. 10.1 - Factor: 36y218y3+54y4Ch. 10.1 - Factor: 20y310y2+5yCh. 10.1 - Factor: 6m612m2+3mCh. 10.1 - Factor: 16x332x216xCh. 10.1 - Factor: 4x2y36x2y410x2y5Ch. 10.1 - Factor: 18x3y30x4y+48xyCh. 10.1 - Factor: 3a2b2c2+27a3b3c381abcCh. 10.1 - Factor: 15x2yz420x3y2z2+25x2y3z2Ch. 10.1 - Factor: 4x3z48x2y2z3+12xyz2Ch. 10.1 - Factor: 18a2b2c2+24ab2c230a2c2Ch. 10.2 - Find each product mentally: (x+5)(x+2)Ch. 10.2 - Find each product mentally: (x+3)(2x+7)Ch. 10.2 - Find each product mentally: (2x+3)(3x+4)Ch. 10.2 - Find each product mentally: (x+3)(x+18)Ch. 10.2 - Find each product mentally: (x5)(x6)Ch. 10.2 - Find each product mentally: (x9)(x8)Ch. 10.2 - Find each product mentally: (x12)(x2)Ch. 10.2 - Find each product mentally: (x9)(x4)Ch. 10.2 - Find each product mentally: (x+8)(2x+3)Ch. 10.2 - Find each product mentally: (3x7)(2x5)Ch. 10.2 - Find each product mentally: (x+6)(x2)Ch. 10.2 - Find each product mentally: (x7)(x3)Ch. 10.2 - Find each product mentally: (x9)(x10)Ch. 10.2 - Find each product mentally: (x9)(x+10)Ch. 10.2 - Find each product mentally: (x12)(x+6)Ch. 10.2 - Find each product mentally: (2x+7)(4x5)Ch. 10.2 - Find each product mentally: (2x7)(4x+5)Ch. 10.2 - Prob. 18ECh. 10.2 - Find each product mentally: (2x+5)(4x7)Ch. 10.2 - Find each product mentally: (6x+5)(5x1)Ch. 10.2 - Find each product mentally: (7x+3)(2x+5)Ch. 10.2 - Find each product mentally: (5x7)(2x+1)Ch. 10.2 - Find each product mentally: (x9)(3x+8)Ch. 10.2 - Find each product mentally: (x8)(2x+9)Ch. 10.2 - Find each product mentally: (6x+5)(x+7)Ch. 10.2 - Find each product mentally: (16x+3)(x1)Ch. 10.2 - Find each product mentally: (13x4)(13x4)Ch. 10.2 - Find each product mentally: (12x+1)(12x+5)Ch. 10.2 - Find each product mentally: (10x+7)(12x3)Ch. 10.2 - Find each product mentally: (10x7)(12x+3)Ch. 10.2 - Find each product mentally: (10x7)(10x3)Ch. 10.2 - Find each product mentally: (10x+7)(10x+3)Ch. 10.2 - Find each product mentally: (2x3)(2x5)Ch. 10.2 - Find each product mentally: (2x+3)(2x+5)Ch. 10.2 - Find each product mentally: (2x3)(2x+5)Ch. 10.2 - Find each product mentally: (2x+3)(2x5)Ch. 10.2 - Find each product mentally: (3x8)(2x+7)Ch. 10.2 - Prob. 38ECh. 10.2 - Find each product mentally: (3x+8)(2x+7)Ch. 10.2 - Find each product mentally: (3x8)(2x7)Ch. 10.2 - Find each product mentally: (8x5)(2x+3)Ch. 10.2 - Find each product mentally: (x7)(x+5)Ch. 10.2 - Find each product mentally: (y7)(2y+3)Ch. 10.2 - Find each product mentally: (m9)(m+2)Ch. 10.2 - Find each product mentally: (3n6y)(2n+5y)Ch. 10.2 - Find each product mentally: (6ab)(2a+3b)Ch. 10.2 - Find each product mentally: (4xy)(2x+7y)Ch. 10.2 - Find each product mentally: (8x12)(2x+3)Ch. 10.2 - Find each product mentally: (12x8)(14x6)Ch. 10.2 - Find each product mentally: (23x6)(13x+9)Ch. 10.3 - Factor each trinomial completely: x2+6x+8Ch. 10.3 - Factor each trinomial completely: x2+8x+15Ch. 10.3 - Factor each trinomial completely: y2+9y+20Ch. 10.3 - Factor each trinomial completely: 2w2+20w+32Ch. 10.3 - Factor each trinomial completely: 3r2+30r+75Ch. 10.3 - Factor each trinomial completely: a2+14a+24Ch. 10.3 - Factor each trinomial completely: b2+11b+30Ch. 10.3 - Factor each trinomial completely: c2+21c+54Ch. 10.3 - Factor each trinomial completely: x2+17x+72Ch. 10.3 - Factor each trinomial completely: y2+18y+81Ch. 10.3 - Factor each trinomial completely: 5a2+35a+60Ch. 10.3 - Factor each trinomial completely: r2+12r+27Ch. 10.3 - Factor each trinomial completely: x27x+12Ch. 10.3 - Factor each trinomial completely: y26y+9Ch. 10.3 - Factor each trinomial completely: 2a218a+28Ch. 10.3 - Factor each trinomial completely: c29c+18Ch. 10.3 - Factor each trinomial completely: 3x230x+63Ch. 10.3 - Factor each trinomial completely: r212r+35Ch. 10.3 - Factor each trinomial completely: w213w+42Ch. 10.3 - Factor each trinomial completely: x214x+49Ch. 10.3 - Factor each trinomial completely: x219x+90Ch. 10.3 - Factor each trinomial completely: 4x284x+80Ch. 10.3 - Factor each trinomial completely: t212t+20Ch. 10.3 - Factor each trinomial completely: b215b+54Ch. 10.3 - Factor each trinomial completely: x2+2x8Ch. 10.3 - Factor each trinomial completely: x22x15Ch. 10.3 - Factor each trinomial completely: y2+y20Ch. 10.3 - Prob. 28ECh. 10.3 - Factor each trinomial completely: a2+5a24Ch. 10.3 - Factor each trinomial completely: b2+b30Ch. 10.3 - Factor each trinomial completely: c215c54Ch. 10.3 - Factor each trinomial completely: b26b72Ch. 10.3 - Factor each trinomial completely: 3x23x36Ch. 10.3 - Factor each trinomial completely: a2+5a14Ch. 10.3 - Factor each trinomial completely: c2+3c18Ch. 10.3 - Factor each trinomial completely: x24x21Ch. 10.3 - Factor each trinomial completely: y2+17y+42Ch. 10.3 - Factor each trinomial completely: m218m+72Ch. 10.3 - Factor each trinomial completely: r22r35Ch. 10.3 - Factor each trinomial completely: x2+11x42Ch. 10.3 - Factor each trinomial completely: m222m+40Ch. 10.3 - Factor each trinomial completely: y2+17y+70Ch. 10.3 - Factor each trinomial completely: x29x90Ch. 10.3 - Factor each trinomial completely: x28x+15Ch. 10.3 - Factor each trinomial completely: a2+27a+92Ch. 10.3 - Factor each trinomial completely: x2+17x110Ch. 10.3 - Factor each trinomial completely: 2a212a110Ch. 10.3 - Factor each trinomial completely: y214y+40Ch. 10.3 - Factor each trinomial completely: a2+29a+100Ch. 10.3 - Factor each trinomial completely: y2+14y120Ch. 10.3 - Factor each trinomial completely: y214y95Ch. 10.3 - Factor each trinomial completely: b2+20b+36Ch. 10.3 - Factor each trinomial completely: y218y+32Ch. 10.3 - Factor each trinomial completely: x28x128Ch. 10.3 - Factor each trinomial completely: 7x2+7x14Ch. 10.3 - Factor each trinomial completely: 2x26x36Ch. 10.3 - Factor each trinomial completely: 6x2+12x6Ch. 10.3 - Factor each trinomial completely: 4x2+16x+16Ch. 10.3 - Factor each trinomial completely: y212y+35Ch. 10.3 - Factor each trinomial completely: a2+16a+63Ch. 10.3 - Factor each trinomial completely: a2+2a63Ch. 10.3 - Factor each trinomial completely: y2y42Ch. 10.3 - Factor each trinomial completely: x2+18x+56Ch. 10.3 - Factor each trinomial completely: x2+11x26Ch. 10.3 - Factor each trinomial completely: 2y236y+90Ch. 10.3 - Factor each trinomial completely: ax2+2ax+aCh. 10.3 - Factor each trinomial completely: 3xy218xy+27xCh. 10.3 - Factor each trinomial completely: x3x2156xCh. 10.3 - Factor each trinomial completely: x2+30x+225Ch. 10.3 - Factor each trinomial completely: x22x360Ch. 10.3 - Factor each trinomial completely: x226x+153Ch. 10.3 - Factor each trinomial completely: x2+8x384Ch. 10.3 - Factor each trinomial completely: x2+28x+192Ch. 10.3 - Factor each trinomial completely: x2+3x154Ch. 10.3 - Factor each trinomial completely: x2+14x176Ch. 10.3 - Factor each trinomial completely: x259x+798Ch. 10.3 - Factor each trinomial completely: 2a2b+4ab48bCh. 10.3 - Factor each trinomial completely: ax215ax+44aCh. 10.3 - Factor each trinomial completely: y2y72Ch. 10.3 - Factor each trinomial completely: x2+19x+60Ch. 10.4 - Find each product: (x+3)(x3)Ch. 10.4 - Find each product: (x+3)2Ch. 10.4 - Find each product: (a+5)(a5)Ch. 10.4 - Find each product: (y2+9)(y29)Ch. 10.4 - Find each product: (2b+11)(2b11)Ch. 10.4 - Find each product: (x6)2Ch. 10.4 - Find each product: (100+3)(1003)Ch. 10.4 - Find each product: (90+2)(902)Ch. 10.4 - Find each product: (3y2+14)(3y214)Ch. 10.4 - Find each product: (y+8)2Ch. 10.4 - Find each product: (r12)2Ch. 10.4 - Find each product: (t+10)2Ch. 10.4 - Find each product: (4y+5)(4y5)Ch. 10.4 - Find each product: (200+5)(2005)Ch. 10.4 - Find each product: (xy4)2Ch. 10.4 - Find each product: (x2+y)(x2y)Ch. 10.4 - Find each product: (ab+d)2Ch. 10.4 - Find each product: (ab+c)(abc)Ch. 10.4 - Find each product: (z11)2Ch. 10.4 - Find each product: (x3+8)(x38)Ch. 10.4 - Find each product: (st7)2Ch. 10.4 - Find each product: (w+14)(w14)Ch. 10.4 - Find each product: (x+y2)(xy2)Ch. 10.4 - Find each product: (1x)2Ch. 10.4 - Find each product: (x+5)2Ch. 10.4 - Find each product: (x6)2Ch. 10.4 - Find each product: (x+7)(x7)Ch. 10.4 - Find each product: (y12)(y+12)Ch. 10.4 - Find each product: (x3)2Ch. 10.4 - Find each product: (x+4)2Ch. 10.4 - Find each product: (ab+2)(ab2)Ch. 10.4 - Find each product: (m3)(m+3)Ch. 10.4 - Find each product: (x2+2)(x22)Ch. 10.4 - Find each product: (m+15)(m15)Ch. 10.4 - Find each product: (r15)2Ch. 10.4 - Find each product: (t+7a)2Ch. 10.4 - Find each product: (y35)2Ch. 10.4 - Find each product: (4x2)2Ch. 10.4 - Find each product: (10x)(10+x)Ch. 10.4 - Find each product: (ay23)(ay2+3)Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Prob. 8ECh. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.6 - Factor completely: 5x22812Ch. 10.6 - Factor completely: 4x24x3Ch. 10.6 - Factor completely: 10x229x+21Ch. 10.6 - Factor completely: 4x2+4x+1Ch. 10.6 - Factor completely: 12x228x+15Ch. 10.6 - Factor completely: 9x236x+32Ch. 10.6 - Factor completely: 8x2+26x45Ch. 10.6 - Factor completely: 4x2+15x4Ch. 10.6 - Factor completely: 16x211x5Ch. 10.6 - Factor completely: 6x2+3x3Ch. 10.6 - Factor completely: 12x216x16Ch. 10.6 - Factor completely: 10x235x+15Ch. 10.6 - Factor completely: 15y2y6Ch. 10.6 - Factor completely: 6y2+y2Ch. 10.6 - Factor completely: 8m210m3Ch. 10.6 - Factor completely: 2m27m30Ch. 10.6 - Factor completely: 35a22a1Ch. 10.6 - Factor completely: 12a228a+15Ch. 10.6 - Factor completely: 16y28y+1Ch. 10.6 - Factor completely: 25y2+20y+4Ch. 10.6 - Factor completely: 3x2+20x63Ch. 10.6 - Factor completely: 4x2+7x15Ch. 10.6 - Factor completely: 12b2+5b2Ch. 10.6 - Factor completely: 10b27b12Ch. 10.6 - Factor completely: 15y214y8Ch. 10.6 - Factor completely: 5y2+11y+2Ch. 10.6 - Factor completely: 90+17c3c2Ch. 10.6 - Prob. 28ECh. 10.6 - Factor completely: 6x213x+5Ch. 10.6 - Factor completely: 56229x+3Ch. 10.6 - Factor completely: 2y4+9y235Ch. 10.6 - Factor completely: 2y2+7y99Ch. 10.6 - Factor completely: 4b2+52b+169Ch. 10.6 - Factor completely: 6x219x+15Ch. 10.6 - Factor completely: 14x251x+40Ch. 10.6 - Factor completely: 42x413x240Ch. 10.6 - Factor completely: 28x3+140x2+175xCh. 10.6 - Factor completely: 24x354x221xCh. 10.6 - Factor completely: 10ab215ab175aCh. 10.6 - Factor completely: 40bx272bx70bCh. 10 - Prob. 1RCh. 10 - Find each product mentally: (x6)(x+6)Ch. 10 - Find each product mentally: (y+7)(y4)Ch. 10 - Find each product mentally: (2x+5)(2x9)Ch. 10 - Find each product mentally: (x+8)(x3)Ch. 10 - Find each product mentally: (x4)(x9)Ch. 10 - Find each product mentally: (x3)2Ch. 10 - Find each product mentally: (2x6)2Ch. 10 - Find each product mentally: (15x2)2Ch. 10 - Factor each expression completely: 6a+6Ch. 10 - Factor each expression completely: 5x15Ch. 10 - Factor each expression completely: xy+2xzCh. 10 - Factor each expression completely: y4+17y318y2Ch. 10 - Factor each expression completely: y26y7Ch. 10 - Factor each expression completely: z2+18z+81Ch. 10 - Factor each expression completely: x2+10x+16Ch. 10 - Factor each expression completely: 4a2+4x2Ch. 10 - Factor each expression completely: x217x+72Ch. 10 - Factor each expression completely: x218x+81Ch. 10 - Factor each expression completely: x2+19x+60Ch. 10 - Factor each expression completely: y22y+1Ch. 10 - Factor each expression completely: x23x28Ch. 10 - Factor each expression completely: x24x96Ch. 10 - Factor each expression completely: x2+x110Ch. 10 - Factor each expression completely: x249Ch. 10 - Factor each expression completely: 16y29x2Ch. 10 - Factor each expression completely: x2144Ch. 10 - Factor each expression completely: 25x281y2Ch. 10 - Factor each expression completely: 4x224x364Ch. 10 - Factor each expression completely: 5x25x780Ch. 10 - Factor each expression completely: 2x2+11x+14Ch. 10 - Factor each expression completely: 12x219x+4Ch. 10 - Factor each expression completely: 30x2+7x15Ch. 10 - Factor each expression completely: 12x2+143x12Ch. 10 - Factor each expression completely: 4x26x+2Ch. 10 - Factor each expression completely: 36x249y2Ch. 10 - Factor each expression completely: 28x2+82x+30Ch. 10 - Factor each expression completely: 30x227x21Ch. 10 - Factor each expression completely: 4x34xCh. 10 - Factor each expression completely: 25y2100Ch. 10 - Find each product mentally: (x+8)(x3)Ch. 10 - Find each product mentally: (2x8)(5x6)Ch. 10 - Find each product mentally: (2x8)(2x+8)Ch. 10 - Find each product mentally: (3x5)2Ch. 10 - Find each product mentally: (4x7)(2x+3)Ch. 10 - Find each product mentally: (9x7)(5x+4)Ch. 10 - Factor each expression completely: x2+4x+3Ch. 10 - Factor each expression completely: x212x+35Ch. 10 - Factor each expression completely: 6x27x90Ch. 10 - Factor each expression completely: 9x2+24x+16Ch. 10 - Factor each expression completely: x2+7x18Ch. 10 - Factor each expression completely: 4x225Ch. 10 - Factor each expression completely: 6x2+13x+6Ch. 10 - Factor each expression completely: 3x2y218x2y+27x2Ch. 10 - Factor each expression completely: 3x211x4Ch. 10 - Factor each expression completely: 15x219x10Ch. 10 - Factor each expression completely: 5x2+7x6Ch. 10 - Factor each expression completely: 3x23x6Ch. 10 - Factor each expression completely: 9x2121Ch. 10 - Factor each expression completely: 9x230x+25Ch. 10 - Perform the indicated operations and simplify:...Ch. 10 - Round 746.83 to the a. nearest tenth and b....Ch. 10 - Do as indicated and simplify: 2315+23Ch. 10 - Write 0.000318 in a. scientific notation and b....Ch. 10 - Change 625 g to kg.Ch. 10 - Change 7 m2 to ft2.Ch. 10 - Read the voltmeter scale in Illustration 1....Ch. 10 - Use the rules of measurement to multiply:...Ch. 10 - Combine like terms and simplify: 3(x2)4(23x)Ch. 10 - Combine like terms and simplify: (6a3b+2c)(2a3b+c)Ch. 10 - Solve: x34=2x5Ch. 10 - A rectangle is 5 m longer than it is wide. Its...Ch. 10 - Solve the proportion and round the result to three...Ch. 10 - A pulley is 18 in. in diameter, is rotating at 125...Ch. 10 - Complete the ordered-pair solutions of the...Ch. 10 - Solve for y: 3xy=5Ch. 10 - Draw the graph of 3x+4y=24Ch. 10 - Draw the graphs of 2xy=4 and x+3y=5. Find the...Ch. 10 - Solve each pair of linear equation:...Ch. 10 - Solve each pair of linear equation: y=3x5x+3y=8Ch. 10 - Solve each pair of linear equation: xy=63x+y=2Ch. 10 - Solve each pair of linear equation: xy=63x+y=2Ch. 10 - Solve each pair of linear equation:...Ch. 10 - Two rental automobiles were leased for a total of...Ch. 10 - Find each product mentally: (2x5)(3x+8)Ch. 10 - Find each product mentally: (5x7y)2Ch. 10 - Find each product mentally: (3x5)(5x7)Ch. 10 - Factor each expression completely: 7x363xCh. 10 - Factor each expression completely: 4x3+12x2Ch. 10 - Factor each expression completely: 2x27x4
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