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Point A is located at negative 6 over 8 and point B is located at negative 1 over 8. What is the distance between points A and B? negative 6 over 8 plus negative 1 over 8 = negative 7 over 8; therefore, the distance from A to B is absolute value of negative 7 over 8 equals negative 7 over 8 units negative 6 over 8 plus negative 1 over 8 = negative 7 over 8; therefore, the distance from A to B is absolute value of negative 7 over 8 equals 7 over 8 units negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals 5 over 8 units

Respuesta :

Given:

Point A is located at [tex]-\dfrac{6}{8}[/tex].

Point B is located at [tex]-\dfrac{1}{8}[/tex].

To find:

The distance between points A and B.

Solution:

We know that,

Distance between points A and B = Location of A - Location of B

Using this given values, we get

Distance between points A and B [tex]=-\dfrac{6}{8}-\left(-\dfrac{1}{8}\right)[/tex]

                                                        [tex]=-\dfrac{6}{8}+\dfrac{1}{8}[/tex]

                                                        [tex]=\dfrac{-6+1}{8}[/tex]

                                                        [tex]=-\dfrac{5}{8}[/tex]

Distance cannot be negative. So, we need to find the absolute value of [tex]-\dfrac{5}{8}[/tex].

[tex]|-\dfrac{5}{8}|=\dfrac{5}{8}[/tex]

The distance between A and B is [tex]\dfrac{5}{8}[/tex].

Therefore, the correct option is D.