Question

Help me pls will mark brainltisy

Answer 1

A

Explanation:

Calculate the lengths of JK and JL using the distance formula

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

with (x₁, y₁ ) = J(2, 1) and (x₂, y₂ ) = K(- 4, 2)

JK =
`√((-4-2)^2+(2-1)^2)`

=
`√((-6)^2+1^2)`

=
`√(36+1)`

=
`√(37)` ≈ 6.1 units

Repeat with (x₁, y₁ ) = J(2, 1) and (x₂, y₂ ) = L(7, 4)

JL =
`√((7-2)^2+(4-1)^2)`

=
`√(5^2+3^2)`

=
`√(25+9)`

=
`√(34)` ≈ 5.8 units

Thus JK is longer than JL → A

Answer 2

Answer: D

Explanation: