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