Question

What is the distance rounded to the nearest 10th between the points (-2, 4) and (6, -4 )

Answer 1

The answer for the distance:

`d \approx 11.3`

Explanation:

You first need the distance formula:

`d = \sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2}`

-Use the two points (-2,4) and (6,-4) for the distance formula:

`d = √((6+2)^2+(-4-4)^2)`

-Then, solve the equation to get the distance:

`d = √((6+2)^2+(-4-4)^2)`

`d = √((8)^2+(-8)^2)`

`d = √(64+64)`

`d = √(128)`

`d = 8√(2) \approx 11.31`

-Round to the nearest tenth:

`d \approx 11.3`

So, therefore, the answer for the distance is
`d \approx 11.3` .