Question

find the distance between the two points rounding to the nearest tenth (if necessary). (-4,5) and (-9,-7)

Answer 1

d = 13 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 ) = (- 4, 5 ) and (x₂, y₂ ) = (- 9, - 7 )

substitute these values into the formula for d

d =
`√((-9-(-4))^2+(-7-5)^2)`

=
`√((-9+4)^2+(-12)^2)`

=
`√((-5)^2+144)`

=
`√(25+144)`

=
`√(169)`

= 13 units