Question

If A= (4,-5) and b=(7,9) what is the length of ab?

Answer 1

14.3178210633

Explanation:

distance formula, d= sq root of ((x2-x1)^2+(y2-y1)^2)

Answer 2

ab =
`√(42)`.

Explanation:

Given : A= (4,-5) and b=(7,9).

To find : what is the length of ab.

Solution : We have given that A= (4,-5) and b=(7,9).

Distance formula :
`\sqrt{(x_(2)-x_(1)(y_(2) -y_(1))}`.

Here,
`x_(1) =4`

`x_(2) =7`

`y_(1) =-5`

`y_(2) =9`.

Then
`√((7-4)(9-(-5)))`.

ab =
`√((3)(14))`.

ab =
`√(42)`.

Therefore, ab =
`√(42)`.