Question

Find the distance between the two points rounding to the nearest tenth (if

necessary).
(1, 2) and (-1, -7)

Answer 1

9.2

Explanation:

In a two-dimensional plane, the distance between any two points (x₁, y₁) and (x₂, y₂) is given by the formula::

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

For:

(x₁, y₁) = (1, 2)
(x₂, y₂) = (-1, -7)

`d = \sqrt {(-1 - 1)^2 + (-7 - 2)^2}`

==>
`d = \sqrt {(-2)^2 + (-9)^2}`

==>
`d = \sqrt {{4} + {81}}`


`d = \sqrt {85}`

`d = 9.2195`

`d = 9.2\;\; \textrm{rounded to the nearest thenth(one decimal place)}`

Answer 2

Explanation:

The distance between the two points (1, 2) and (-1, -7) is the square root of ((1 + 1)^2 + (2 + 7)^2), which is approximately 11.8. Rounding to the nearest tenth, the distance is 11.8.