Page 56 - Hybrid PBD 2021 Form 2 - Matematik
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Matematik   Tingkatan 2  Bab 3
                  5.  Ungkapkan pemboleh ubah dalam kurungan sebagai perkara rumus.   SP 3.1.2     TP3
                     Express the variable in the brackets as the subject of the formula.


                      (i)  x y = 36     [x]               (ii)   = h         [m]
                          2
                                                                m
                                                               4
                                                                                                   Tip Penting
                             x y = 36                           4m = h                              Kuasa dua
                              2
                               1       1                            2                                  Square
                                                                 m
                         x y ×   = 36 ×                       1 2  = h 2
                                                                4
                          2
                               y       y                                                            x      x   2
                                   36                            4m = h 2
                               2
                              x  =                                 1       1
                                   y                           4m ×   = h  ×                       Punca kuasa dua
                                                                        2
                                          Songsangan bagi kuasa    4       4                          Square root
                                        dua bagi nilai itu.      m =  h                             Kuasa tiga
                              x
                              =   36    dua ialah punca kuasa         2
                               2
                                     y
                                          The inverse of square is the
                                        square root of the value.     4   Songsangan bagi             Cube
                                    36
                                                                            punca kuasa dua ialah
                               x =                                                                  x      x   3
                                   y                                      kuasa dua bagi nilai itu.
                                                                            The inverse of a square root
                                    6                                       is the square of the value.  Punca kuasa tiga
                               x =                                                                    Cube root
                                   y
                      (a)  p = rq  + 2sq 2        [q]           k                              1
                              2
                                                      (b)  x = 5  y              [y] (c)  V =  s²h                [s]
                                                                                               3
                                 rq  + 2sq  = p
                                        2
                                  2
                                 q (r + 2s) = p              1  y 2 2  2                     1 s²h = V
                                  2
                                                                 k
                                                                                               3
                                      1          1              5    = x
                          q (r + 2s) ×     = p ×                                           1      3      3
                           2
                                    r + 2s     r + 2s            25k                         s²h ×   = V ×
                                              p                      = x 2                 3      h      h
                                       q  =                       y
                                        2
                                            r + 2s                                                     3V
                                                                                                  ²
                                                                                                  s
                                                          25k    1          1                     =
                                                                       2
                                               p               ×     = x  ×                             h
                                        2
                                       =                 y    25k        25k
                                       q
                                             r + 2s                                                    3V
                                                                   1    x 2                       s =
                                               p                   y  =  25k                            h
                                        q =
                                             r + 2s                    25k
                                                                   y =
                                                                        x 2
                                                                                            2
                                                                                                2
                             4                                 1                       (f)  p  = h  – 9             [h]
                      (d)  V =   pr  3             [r] (e)  e =                  [f ]
                             3                                 f
                                                                                              h  – 9 = p 2
                                                                                               2
                               4  pr   = V                    1                            h  – 9 + 9 = p  + 9
                                   3
                                                                                            2
                                                                                                      2
                               3                                = e
                                                              f
                                                                                                  2
                                                                                                      2
                          4  pr   ×   3   = V ×   3            2                                 h  = p  + 9
                              3
                                                           
                                                             1
                                                                                                 h
                                                                                                       p
                                                                                                         + 9
                                                                                                        2
                          3      4p       4p              1 2    = e 2                           = 
                                                                                                  2
                                      3V                     f                                          2
                                                                                                         + 9
                                                                                                       p
                                  r   =                        1                                  h = 
                                   3
                                      4p                       f   = e 2
                                                             f =  e 1 2
                                 3  3   3V

                                  r
                                  = 3
                                        4p
                                        3V
                                      
                                   r = 3  4p
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         Bab 3.indd   29                                                                                            9/3/21   5:13 PM
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