Respuesta :

Hello from MrBillDoesMath!

Answer:   Yes, the answer is sqrt (53)

Discussion:

X = (-4,0),  Y = (3,2)

The length of XY, via the Pythagorean theorem, is given by

sqrt (  (diff of x values)^2 + (diff of y values)^2)


In our case this becomes:

sqrt ( ( -4 - 3) ^ 2 + (0 - 2)^2 ) =          

sqrt (  (-7)^2 + (-2)^2)  ) =

sqrt ( 49 + 4 ) =

sqrt (53)



Thank you,

MrB