Respuesta :

Answer:

AB = 7√2

Step-by-step explanation:

if a(x1,y1) and b(x2,y2) then

[tex]ab = \sqrt{ {(x1 - x2)}^{2} +{(y1 - y2)}^{2}} [/tex]

Based on your points and on the formula above AB is:

[tex] \sqrt{ {(3 - ( - 4))}^{2} + {(7 - 0)}^{2} } \\ \sqrt{ {(3 + 4)}^{2} + {7}^{2} } \\ \sqrt{ {7}^{2} + {7}^{2} } \\ \sqrt{2 \times {7}^{2} } \\ 7 \sqrt{2} [/tex]