How does d 1 equal 1 2 ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 ?

Question

How does       d    1   equal       1    2                      (                  x          2                −                  x          1                )            2        +                  (                  y          2                −                  y          1                )            2       ?

Mollie Roberts · Accepted Answer

Step 1You forgot that the       1    2   had to be squared when you were factoring it out:      d    1    =                    (                                            x              1                        +                          x              2                                2                −                  x          1                )            2        +                  (                                            y              1                        +                          y              2                                2                −                  y          1                )            2        =                    (                                            x              1                        +                          x              2                                2                −                              2                          x              1                                2                )            2        +                  (                                            y              1                        +                          y              2                                2                −                              2                          y              1                                2                )            2        =                      (                                            x              1                        +                          x              2                        −            2                          x              1                                2                )            2        +                  (                                            y              1                        +                          y              2                        −            2                          y              1                                2                )            2        =                                (                      x            2                    −                      x            1                    )                2                    2        2              +                            (                      y            2                    −                      y            1                    )                2                    2        2              =            1      4                      (                  x          2                −                  x          1                )            2        +          1      4                      (                  y          2                −                  y          1                )            2        =              1      4                          (                  x          2                −                  x          1                )            2        +                  (                  y          2                −                  y          1                )            2        =      1    2                      (                  x          2                −                  x          1                )            2        +                  (                  y          2                −                  y          1                )            2

velinariojepvg · Accepted Answer

Step 1      d    1    =                    (                                            x              1                        +                          x              2                                2                −                  x          1                )            2        +                  (                                            y              1                        +                          y              2                                2                −                  y          1                )            2        =            1              4                            (                  x          1                −                  x          2                )            2        +          1              4                            (                  y          1                −                  y          2                )            2          =      1    2                      (                  x          1                −                  x          2                )            2        +                  (                  y          1                −                  y          2                )            2        .

How does d 1 </msub> equal 1 2 </mfrac> <msqrt>

Answered question

Answer & Explanation

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