งานนำเสนอ12
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The document discusses several mathematical concepts including: 1) Solving linear equations in two variables using substitution and elimination methods. 2) Identifying the slope and y-intercept of linear equations in standard and non-standard form. 3) Applying properties of equality, such as reflexive, symmetric, transitive, additive, multiplicative and distributive properties to solve equations.
![ x = x/6 + x/12 + x/7 + 5 + x/2 + 4
...........................x = x/6 + x/12 + x/7 + x/2 + 9
...........................x = (1/6 + 1/12 + 1/7 + 1/2) x + 9
...........................x = [(14 + 7 +12 + 42) /84] x + 9
...........................x = 75/84 x + 9
.....................84 x = 75 x + 756
.......................9 x = 756
...........................x = 84](https://image.slidesharecdn.com/12-120621065004-phpapp01/85/12-57-320.jpg)
งานนำเสนอ12
- 5. ABC
- 7. C
- 8. a
- 9. ABC BC
- 10. ABC AB
- 11.
- 12. ABC C AB AC BC
- 13. a A b B, c C c a,b
- 14. a b
- 15. ABC
- 17.
- 18. ABC a,b c ABC C
- 19. ABC ABC
- 20. ABC
- 21. PQR QR, PM = 24 PQ = 25 MR = 10 PQR
- 24. ABCD ABO
- 27. a b
- 31.
- 32. √ , √ , √ , -√ , - √ , -√ ¶
- 33. a a a - - - x - - - -
- 34. x4 - x -4 x8 - x -8 x35 - x (-35)
- 35. a a a a - a a= ,
- 36. - - -
- 38. a a a a a - - - -
- 39. - - -
- 41. x7x7 = (7)3
- 43. ax + b = 0 a, b a
- 44. 2x+3 = 0 2a+1 = 0 a, b c symmetric property) a=b b=a transitive property) a=b b=c a=c
- 45. distributiveproperty) a(b+c) = ab + ac additiveproperty) a=b a+c=b+c a-c=b-c multiplicative property) a=b axc=bxc a/c=b/c c
- 47. y = mx + c m Y c y = 3x + 2 y = 2x - 5 y=x+7 y=-x-8
- 48. 2.Ax + By + C = 0 x + 2y + 5 = 0 3x - 4y - 12 = 0 8x + 7y - 20 = 0 Ax + By + C = 0 By = - Ax - C Y=-X-( B y = mx + c m=- C=-
- 49. 3. y = c X X C Y=2 X X=2 Y = -5 X X=5
- 50. 4. X = C Y Y C| X=3 Y Y X = -4 Y Y
- 51. X Y X y=0 y X=0 X Y a X b Y X a,0) Y b)
- 52. X y = 2x - 5 y x = 3 , y = 2(3) - 5 = 1 y = 2x – 5 Slope) y = mx + c m Ax + By + C = 0 - y = 2x - 3 x - 2y + 5 = 0
- 53. y = 3x - 5 X x + 4y - 12 = 0 X X Y
- 54. Ax + By + C = 0 A,B C A,B y = mx + c m c m C x
- 56. x x/6 x/12 x/7 x/2
- 57. x = x/6 + x/12 + x/7 + 5 + x/2 + 4 ...........................x = x/6 + x/12 + x/7 + x/2 + 9 ...........................x = (1/6 + 1/12 + 1/7 + 1/2) x + 9 ...........................x = [(14 + 7 +12 + 42) /84] x + 9 ...........................x = 75/84 x + 9 .....................84 x = 75 x + 756 .......................9 x = 756 ...........................x = 84
- 58.
- 59. f i g h MN PQ RS
- 60. MRS = RSQ ( NRS = RSP ( RS MN PQ