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Which of the following correctly uses absolute value to show the distance between -80 and 15?
Select one:
a. |-80 - 15| = |-95| = -95 units
b. |-80 + 15| = |-65| = 65 units
c. |-80 - 15| = |-95| = 95 units
d. |-80 + 15| = |-65| = -65 units

Respuesta :

gmany

Answer:

[tex]\large\boxed{c.\ |-80-15|=|-95|=95}[/tex]

Step-by-step explanation:

The formula of a distance between A and B:

[tex]d=|B - A|=|A-B|[/tex]

The definition of an absolute value:

[tex]|a|=\left\{\begin{array}{ccc}a&for&a\geq0\\-a&for& a<0\end{array}\right[/tex]

Examples:

|3| = 3, |65| = 65

|-3| = -(-3) = 3, |-65| = -(-65) = 65, |-120| = 120

We have -80 and 15:

[tex]|-80-15|=|-95|=95[/tex]

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