Question

If a =(10,4) and b=(2,19) what is the length of ab

Answer 1

Answer: B. 17 units!

Answer 2

Length of ab

= 17

Explanation:

`a =(10,4)\\b=(2,19) \\\\length\:ab = ?\\Distance\: between\:point\:a\:and\:point\:b =?\\\\d =√(\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2)\\\\x _1 =10\\y_1 =4\\x_2=2\\y_2 = 19\\\\d = √(\left(2-10\right)^2+\left(19-4\right)^2)\\\\d = √((-8)^2+(15)^2)\\ \\d = √(64+225) \\\\d = √(289) \\\\d = 17`