Respuesta :

For the given points [tex] Y(4,2) [/tex] and [tex] Z(2,8) [/tex], we have to find the ordered pair that represents YZ.

YZ is calculated by finding the difference between the coordinates Z and Y.

So,

[tex] YZ = Z- Y [/tex]

[tex] YZ = (2,8)- (4,2) [/tex]

[tex] YZ = (2-4,8-2) [/tex]

[tex] YZ = (-2,6) [/tex]

Magnitude of coordinate (x,y) is calculated by the formula = [tex] =\sqrt{x^{2}+y^{2}} [/tex]

Magnitude of YZ=[tex] \sqrt{(-2)^{2}+(6)^{2}} [/tex]

= [tex] \sqrt{4+36} [/tex]

[tex] =\sqrt{40} [/tex]

[tex] =2\sqrt{10} [/tex] units.

Answer:

The answer is b

Step-by-step explanation:

took the test