Question

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

Answer 1

Answer:  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

$N_s=5+7=12.$

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

Answer 2

Well you see partition means to separate or divide. A line segment with end points a and b can be partioneded by another point by a given ratio, and a ratio is a comparison of two numbers. For other ratios besides 1:1 , it is necessary to determine the total number of parts that the line segment must be divided into. So in your case the point is 5:7 so you to determine the point that divides your line segment you just simply add the figure 5 a and the figure 7 together and you should end up with the sum of 12.