Question

Help me pls will mark brainltisy

Answer 1

Answer:

A

Step-by-step 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 = $\sqrt{(-4-2)^2+(2-1)^2}$

     =  $\sqrt{(-6)^2+1^2}$

     = $\sqrt{36+1}$

     = $\sqrt{37}$ ≈ 6.1 units

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

JL = $\sqrt{(7-2)^2+(4-1)^2}$

    = $\sqrt{5^2+3^2}$

    = $\sqrt{25+9}$

    = $\sqrt{34}$ ≈ 5.8 units

Thus JK is longer than JL →  A

Answer 2

Answer: D

Step-by-step explanation: