Question

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

Answer 1

The answer is Answer D

Answer 2

Option D is correct

`√((5-9)^2+(1+6)^2)`

Explanation:

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

`D=√((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=√((5-9)^2+(1-(-6))^2)`

⇒
`D=√((5-9)^2+(1+6)^2)`

Therefore, the expression gives the distance between the points (5, 1) and (9,-6) is,
`√((5-9)^2+(1+6)^2)`