Question

Which expression gives the distance between the points (5, 1) and (9,-6)?

Answer 1

The answer is Answer D

Answer 2

Answer:

Option D is correct

$\sqrt{(5-9)^2+(1+6)^2}$

Step-by-step explanation:

Formula for Distance(D) between two points is given by:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

As per the statement:

Given the points (5, 1) and (9,-6)

Apply the distance formula we have;

⇒$D=\sqrt{(5-9)^2+(1-(-6))^2}$

⇒$D=\sqrt{(5-9)^2+(1+6)^2}$

Therefore, the expression gives the distance between the points (5, 1) and (9,-6) is, $\sqrt{(5-9)^2+(1+6)^2}$