How many equal sections divide a directed line segment if it is to be partitioned with a 5: 7 ratio

 The line segment can be divided into 12 equal sections.

Step-by-step explanation:  We are given to find the number of equal sections that divide a directed line segment if it is to be partitioned with a 5 : 7 ratio.

We know that

if a line directed line segment is partitioned in the ratio a : b, then we can divide the line segment in (a + b) equal sections.

So, the number of equal sections in which the given line segment can be divided is given by

Thus, the line segment can be divided into 12 equal sections.

the image of (6, 9) under a dilation is (4, 6). the scale factor is