Chapter 6.2 Formulas Pg: 298 - 299 numbers 7, 11, 16, 21, 41, 46, and 52 5. P = 21 + 2w; determine P when / = 15 and w = 8 Warm Up Exercises (geometry). In Exercises ] and 2, fill in the blank with an appropriate word, phrase, or symbol(s). 6. F = ma; determine m when F = 40 and a = 5 (physics). 1. Numbers or letters that are placed below and to the right of variables are called 7. K = = mv2; determine m when K = 4500 and v = 30 2. An equation that typically has a real-life application is (physics). called a(n) 8. p = 12r; determine r when p = 62,500 and i = 5 Practice the Skills (electronics). In Exercises 3-30, use the formula to determine the value 9. S = mr(r + h); determine S when r = 8 and h = 2 of the indicated variable for the values given. Use a calculator (geometry). when one is needed. When necessary, use the T key on your 10. A = T(R2 - 2); determine A when R = 5 and r = 4 calculator and round answers to the nearest hundredth. (geometry). 3. P = 4s; determine P when s = 10. (geometry) 11. z = =M "; determine u when z = 1.62, x = 36.7, and 4. A = /w; determine A when I = 9 and w = 4. (geometry) o = 3 (statistics). 12. S = 4/w + 2wh; determine I when S = 336, w = 8, and 29. S = 1 , determine S,, when a] = 10, r = : h = 9 (geometry). 1 - r and n = 4 (mathematics). 13. T = ; d 7 determine P when T = 80, V = 20, and k = 0.5 (physics). 30. A = P( 1 + =) ; determine A when P = 100, r = 6% 14. m = - atb + c. -; determine a when m = 85, b = 77, and (or 0.06) n = 1, and 1 = 3 (banking). 3 c = 92 (statistics). In Exercises 31-36, solve the equation for y. 15. V = --ar; determine a when V = 2304 and t = 12 31. 6x + 3y = 9 32. 4x - 2y = 10 (physics). 33. &x + 7y = 21 34. -9x + 4y = 11 35. 2x - 3y + 6 = 0 36. 10x - 3y = 0 16. A = -h(b) + bz); determine h when A = 36, b, = 4, and b2 = 8 (geometry). In Exercises 37-52, solve for the variable indicated. 17. V = mr2h; determine h when V = 942 and r = 5 37. d = n for r (geometry). 38. V = lwh for w 18. V = = Trah; determine h when V = 47.10 and r = 3 39. p = a + b + c for a (geometry). 40. p = a + b + s1 + s2 fors, 19. F = 3 C + 32; determine F when C = 7 (temperature conversion). 41. A = -bh for b 42. C = 2ur for r 20. C = ;(F - 32); determine C when F = 77 (temperature conversion). 43. V = Trah for h 44. V = -orh forh *2 - X 1 21. m = 2 ; determine m when y2 = 8, y1 = -4, 45. y = mx + b for b 46. y = mx + b for x *2 = -3, and x1 = -5 (mathematics). 47. P = 21 + 2w for w 48. L = C + 2d for d 22. 2 = *; determine z when x = 66, u = 60, 0 = 15, Vn 49. F = $ C+ 32 for C 50. C = 8(F - 32) for F and n = 25 (statistics). 51. S = Tr2 + mrs fors 23. E = ajp1 + a2p2 + a3p3; determine E when a1 = 5, p1 = 0.2, a2 = 7, P2 = 0.6, a3 = 10, and 52. A = P(1 + ri) for ! P3 = 0.2 (probability)