Question

Which of the following is the correct formula for distance?

(A.) d= (x2-x1)^2+(y2-y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
(B.) d= sqrt (x2+x1)^2+(y2+y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
(C.) d= sqrt (x2-x1)^2+(y2-y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
(D.) d= sqrt (x2-x1)+(y2-y1), where d is the distance between points (x1,y1) and (x2,y2).

Answer 1

`\Huge \boxed{\mathrm{C }}`

Explanation:

`\sf The \ distance \ formula \ is \ given \ as:`

`d=√((x_2-x_1)^2 +(y_2-y_1)^2 )`

`d \Rightarrow \sf distance`

`(x_1,y_1) \Rightarrow \sf Coordinates \ of \ the \ first \ point`

`(x_2,y_2) \Rightarrow \sf Coordinates \ of \ the \ second \ point`

Answer 2

(C.) d= sqrt (x2-x1)^2+(y2-y1)^2, where d is the distance between points (x1,y1) and (x2,y2).

Explanation: