Question

What is the distance between

(
4
,
7
)
(4,7)left parenthesis, 4, comma, 7, right parenthesis and
(
2
,
2
)
(2,2)left parenthesis, 2, comma, 2, right parenthesis?

Answer 1

d ≈ 5.4

Explanation:

calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (2, 2 ) and (x₂, y₂ ) = (4, 7 )

d =
`√((4-2)^2+(7-2)^2)`

=
`√(2^2+5^2)`

=
`√(4+25)`

=
`√(29)`

≈ 5.4 ( to the nearest tenth )