Question

Find the distance between K(9, 2) and L(-3, 9) to the nearest tenth

Answer 1

Answer:

d=√(193)

Explanation:

d=√((x_2-x_1)²+(y_2-y_1)²)

Points: (9, 2) & (-3, 9)

d=√((-3 - 9)²+(9 - 2)²)

d=√((-12)²+(7)²)

d=√(144)+(49)

d=√(193)

Answer 2

≈ 13.9

Explanation:

Calculate the distance d using the distance formula

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

with (x₁, y₁ ) = K(9, 2) and (x₂, y₂ ) = L(- 3, 9)

d =
`√((-3-9)^2+(9-2)^2)`

=
`√((-12)^2+7^2)`

=
`√(144+49)`

=
`√(193)`

≈ 13.9 ( to the nearest tenth )