Question

If A(32, -10) and B(40,-1) find AB

Answer 1

Hello !

Answer:

`\boxed{AB=√(145)\approx 12.04}`

Explanation:

The distance between two points A and B is given by the following formula:

`AB=√((x_B-x_A)^2+(y_B-y_A)^2)`

Where
`A(x_A,y_A)` and
`B(x_B,y_B)`.

Given :

• 
  `A(32,-10)`
• 
  `B(40,-1)`

Let's replace the coordinates with their values in the formula :

`AB=√((40-32)^2+(-1-(-10))^2)\\AB=√(8^2+9^2)\\AB=√(64+81)\\\boxed{AB=√(145)\approx 12.04}`

Distance AB is
`\sqrt {145}\approx 12.04`

Have a nice day ;)