Answer:
Option D is correct
[tex]\sqrt{(5-9)^2+(1+6)^2}[/tex]
Step-by-step explanation:
Formula for Distance(D) between two points is given by:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
As per the statement:
Given the points (5, 1) and (9,-6)
Apply the distance formula we have;
⇒[tex]D=\sqrt{(5-9)^2+(1-(-6))^2}[/tex]
⇒[tex]D=\sqrt{(5-9)^2+(1+6)^2}[/tex]
Therefore, the expression gives the distance between the points (5, 1) and (9,-6) is, [tex]\sqrt{(5-9)^2+(1+6)^2}[/tex]
