For a unit segment of the coordinate ray, we took a segment with a length of 15 cm.

| May 5, 2021 | education

For a unit segment of the coordinate ray, we took a segment with a length of 15 cm. Find the length of the segment AB if A (1/3) B (4/3)?

First, let’s find how many centimeters the coordinates of the beginning and end of the segment are equal to. To do this, multiply the unit segment (15 cm) by the numerator of the fraction and divide by the denominator of the fraction:

A. 15 * 1: 3 = 5 cm coordinate A.

B. 15 * 4: 3 = 20 cm B.

In order to find the length of a segment, it is necessary to subtract the coordinate of the beginning of the segment (here it is A) from the coordinate of the end of the segment (here it is B):

20 – 5 = 15 cm length of segment AB.

There is a second way, let’s leave the coordinates as fractions and find the length by subtracting the end from the beginning:

4/3 – 1/3 = 3/3 = 1 unit segment – the length of the segment AB.

As we know, a unit segment is 15 cm, therefore 1 such segment is 15 cm.

That is, the length AB = 15 cm.



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