Find the distance between each pair of points if they were graphed on a number
line. Represent your work using absolute value symbols.
a.
-27.1 and 53.2
b. 71.54 and -28.3
c. -38.9 and -7.3​

Respuesta :

Answer:

Part a) [tex]d=80.3\ units[/tex]

Part b) [tex]d=99.84\ units[/tex]

Part c) [tex]d=31.6\ units[/tex]

Step-by-step explanation:

we know that

The absolute value of the difference of two numbers is equal to the distance between those numbers. The absolute value of a number is never negative.

Part a) we have

-27.1 and 53.2

[tex]d=\left|-27.1-53.2\right|[/tex]

[tex]d=\left|-80.3\right|[/tex]

[tex]d=80.3\ units[/tex]

Part b) we have

71.54 and -28.3

[tex]d=\left|71.54-(-28.3)\right|[/tex]

[tex]d=\left|71.54+28.3\right|[/tex]

[tex]d=\left|99.84\right|[/tex]

[tex]d=99.84\ units[/tex]

Part c) we have

-38.9 and -7.3

[tex]d=\left|-38.9-(-7.3)\right|[/tex]

[tex]d=\left|-38.9+7.3\right|[/tex]

[tex]d=\left|-31.6\right|[/tex]

[tex]d=31.6\ units[/tex]