Question

What is the distance in the standard (x,y) coordinate plane between the points (1,0) and (0,5)?

Answer 1

5.38

Explanation:

`d^2=(x_2−x_1)^2+(y_2−y_1)^2`

`x_1=1` `y_1=0`
`x_2=0` `y_2=5`

`d^2=(0-2)^2+(5-0)^2`

`(0-2)^2+(5-0)^2=(-2)^2+(5)^2=29=d^2`

`sqrtd^2=sqrt29=d~~5.38`