Question

(-1,8) and (8,5). this is a coordinate distance wuestion that i rly need help on

Answer 1

3
`√(10)` ≈ 9.45

Explanation:

calculate the distance d between the points using the distance formula

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

with (x₁, y₁ ) = (- 1, 8 ) and (x₂, y₂ ) = (8, 5 )

d =
`√((8-(-1))^2+(5-8)^2)`

=
`√((8+1)^2+(-3)^2)`

=
`√(9^2+9)`

=
`√(81+9)`

=
`√(90)`

=
`√(9(10))`

=
`√(9)` ×
`√(10)`

= 3
`√(10)` ← exact value

≈ 9.49 ( to 2 dec. places )