Option B:
The distance between the pair of points are 20 units.
Solution:
Given data:
The point are (5, 9) and (–7, –7).
To find the distance between the points:
Here [tex]x_1=5, y_1=9, x_2=-7, y_2=-7[/tex]
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]=\sqrt{(-7-5)^2+(-7-9)^2}[/tex]
[tex]=\sqrt{(-12)^2+(-16)^2}[/tex]
[tex]=\sqrt{144+256}[/tex]
[tex]=\sqrt{400}[/tex]
= 20
d = 20 units
Option B is the correct answer.
The distance between the pair of points are 20 units.
