Question

Calculate the distance between the points N=(-5, 7) and P=(-1, 3) in the coordinate plane.

Round your answer to the nearest hundredth.
: 0
Distance:

Answer 1

distance ≈ 5.66 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 ) = N (- 5, 7 ) and (x₂, y₂ ) = P (- 1, 3 )

d =
`√((-1-(-5))^2+(3-7)^2)`

=
`√((-1+5)^2+(-4)^2)`

=
`√(4^2+16)`

=
`√(16+16)`

=
`√(32)`

≈ 5.66 units ( to the nearest hundredth )