Question

Find the distance from (7, 4) and (-1,-4)
A. 11.31
B. 8
C. 10.42
D. 9.76

Answer 1

A

Explanation:

Calculate the distance using the distance formula

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

with (x₁, y₁ ) = (7, 4 ) and (x₂, y₂ ) = (- 1, - 4 )

d =
`√((-4-4)^2+(-1-7)^2)`

=
`√((-8)^2+(-8)^2)`

=
`√(64+64)`

=
`√(128)`

≈ 11.31 ( to 2 dec. places )