Question

Find the legth of DE using the distance formula. D= The length of DE is

Answer 1

Answer:

10

Step-by-step explanation:

Answer 2

Answer:

$\huge\boxed{|DE|=10}$

Step-by-step explanation:

$d_{DE}=\sqrt{(x_E-x_D)^2+(y_E-y_D)^2}\\\\D(-4,\ 2)\to x_D=-4,\ y_D=2\\\\E(4,\ -4)\to x_E=4,\ y_E=-4\\\\\text{substitute}\\\\d_{DE}=\sqrt{(4-(-4))^2+(-4-2)^2}=\sqrt{8^2+(-6)^2}=\sqrt{64+36}=\sqrt{100}=10$