Chapter 8 - XYZ Custom Plus

8.5 Problem Set533B Solve for the indicated variable. [Examples 3–5]41. P = 2l + 2w for ww = ​_P − 2l ​242. P = 2l + 2w for ll = ​_ P − 2w ​243. h = vt + 16t 2 for vv = ​_ h − 16t 2​t44. h = vt − 16t 2 for vv = ​_h + 16t 2​t45. A = πr 2 + 2πrh for hh = ​_ A − πr 2​2πr46. A = 2πr 2 + 2πrh for hh = ​_ A − 2πr 2​2πr47. Solve for y.a. y − 3 = −2(x + 4)y = −2x − 5b. y − 5 = 4(x − 3)y = 4x − 748. Solve for y._a. y + 1 = −​ 2 ​(x − 3)3_y = −​ 2 3 ​x + 149. Solve for y.y = ​_3 4 ​x + ​1 _4 ​3 ​x + 1_b. y − 3 = −​ 2 ​(x + 3)3_y = −​ 2a. y − 1 = ​_3 ​(x − 1)4b. y + 2 = ​_3 ​(x − 4)4y = ​_3a. y + 3 = ​_3 ​(x − 2)2y = ​_3 2 ​x − 6b. y + 4 = ​_4 ​(x − 3)3y = ​_4 3 ​x − 84 ​x − 5 50. Solve for y.51. Solve for y.52. Solve for y.a. ​_y − 1 ​= ​_3x 5 ​ b. ​y _ − 2 ​= ​_1x 2 ​a. ​ _ y + 1xy = ​_3 5 ​x + 1 y = ​ _ 1 2 ​x + 2​= −​ 3 _5​ b. ​y _ + 2x​= −​ 1 _2 ​y = −​ 3 _5 ​x − 1 y = −​1 _2 ​x − 2B Solve each formula for y.53. ​ x _7 ​− ​y _3 ​= 1y = ​_3 7 ​x − 3 y = ​_ 9 4 ​x − 9 y = 2x + 854. ​_x 4 ​− ​y _9 ​= 1_55. −​ 14 ​x + ​1 _8 ​y = 156. −​ 1 _9 ​x + ​1 _3 ​y = 1y = ​ 1 _3 ​x + 3The next two problems are intended to give you practice reading, and paying attention to, the instructions that accompanythe problems you are working. As we have mentioned previously, working these problems is an excellent way to getready for a test or a quiz.57. Work each problem according to the instructions. 58. Work each problem according to the instructions.a. Solve: 4x + 5 = 20 ​_154 ​ = 3.75_a. Solve: −2x + 1 = 4 −​ 3 2 ​ = −1.5b. Find the value of 4x + 5 when x is 3. 17b. Find the value of −2x + 1 when x is 8. −15_c. Solve for y: 4x + 5y = 20 y = −​ 4 5 ​x + 4c. Solve for y: −2x + y = 20 y = 2x + 20_d. Solve for x: 4x + 5y = 20 x = −​ 5 4 ​y + 5 d. Solve for x: −2x + y = 20 x = ​_1 ​y − 102C Find the complement and the supplement of each angle. [Example 6]59. 30°60°; 150°60. 60°30°; 120°61. 45°45°; 135°62. 15°75°; 165°