Respuesta :
Answer:
The correct option is C.
Step-by-step explanation:
Given information:
Location of point A = [tex]-\frac{7}{10}[/tex]
Location of point B = [tex]-\frac{2}{10}[/tex]
We need to find the distance between points A and B.
Distance between points A and B = Location of point A - Location of point B
[tex]AB=-\frac{7}{10}-(-\frac{2}{10})[/tex]
[tex]AB=-\frac{7}{10}+\frac{2}{10}[/tex]
[tex]AB=\frac{-7+2}{10}[/tex]
[tex]AB=-\frac{5}{10}[/tex]
Distance can not be negative. So,
[tex]|AB|=|-\frac{5}{10}|[/tex]
[tex]|AB|=\frac{5}{10}[/tex]
Negative 7 over 10 minus negative 2 over 10 = negative 5 over 10; therefore, the distance from A to B is absolute value of negative 5 over 10 equals 5 over 10 units.
Therefore, the correct option is C.