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]