What is this product?

The answer to your question is the third choice

Step-by-step explanation:

   |  1   3   1  |   x    | 2   -2 |

   | -2  1    0 |         | 3    5 |    =

                             | 4     1 |

       2 x 3                3 x 2  =   2 x 2

Result  Multiply rows by columns and simplify

   |  (1 x 2) + (3 x 3) + (1 x 4)       (1 x -2) + (3 x 5) + (1 x 1) |

   |  (-2 x 2) + (1 x 3) + (0 x 4)     (-2 x -2) + (1 x 5) + (0 x 1)|

Simplification  

 | 2 + 9 + 4          -2 + 15 + 1 |

   | -4 + 3 + 0          4 + 5 + 0 |

Result

 | 15    14 |

 | -1       9|

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.