Question

The distance between the points (0,0) and (10,2).

Answer 1

Hello !

Answer:

`\boxed{d=√(104)\approx10.2}`

Step-by-step explanation:

Let
`\sf A(x_A,y_A)` and
`\sf B(x_B,y_B)`.

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

`\sf AB=√((x_B-x_A)^2+(y_B-y_A)^2)`

In this question, we can consider
`\sf A(0,0)` and
`\sf B(10,2)`

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

`\sf AB=√((10-0)^2+(2-0)^2)\\AB=√(10^2+2^2)\\AB=√(100+4)\\\boxed{AB=√(104)\approx10.2}`

Have a nice day ;)