Question

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Answer 1

d ≈ 11.4 units

Explanation:

calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (- 5, 1 ) and (x₂, y₂ ) = (6, - 2 )

d =
`√((6-(-5))^2+(-2-1)^2)`

=
`√((6+5)^2+(-3)^2)`

=
`√(11^2+9)`

=
`√(121+9)`

=
`√(130)`

≈ 11.4 units ( to the nearest tenth )