Question

The endpoints of u are 0 (-2,9) and A(6,-3). What is the length of segment ?

A 14.5
B 14.4
C 14
D 13.9​

Answer 1

The answer to this question is b

Answer 2

`B.\ 14.4\ units`

Explanation:

`We\ are\ given\ that,\\Coordinates\ of\ Endpoint\ O=x_1,y_1=(-2,9)\\Coordinates\ of\ Endpoint\ A=x_2,y_2=(6,-3)\\As\ we\ know\ that,\\The\ length\ of\ line\ segment\ OA\ or\ u\ is\ the\ distance\ between\ its\ endpoints\\ O\ and\ A.\\Hence,\\The\ linear\ distance(d)\ between\ any\ two\ points\ on\ a\ cartesian\ plane,\\ is\ given\ by\ the\ Formula:\\d=√((x_2-x_1)^2+(y_2-y_1)^2) \\Hence\ here,\\`

`In\ order\ to\ find\ the\ distance\ between\ O\ and\ A,\ we\ just\ need\ to\ plug\ in\\ its\ respective\ coordinates\ in\ the\ Formula\ above.\\Hence,\\Distance\ between\ O\ and\ A= √((6-(-2))^2+(-3-(9))^2) \\Distance\ between\ O\ and\ A= √((6+2)^2+(-3-9)^2)\\Distance\ between\ O\ and\ A= √((8)^2+(-12)^2)\\Distance\ between\ O\ and\ A= √(64+144)\\Distance\ between\ O\ and\ A= √(208)\\Distance\ between\ O\ and\ A \approx 14.42\ or\ 14.4\ units`