Respuesta :

Answer:

7.62

Step-by-step explanation:

We can draw another point at (-3, -4) named C to get a right-angled triangle.

AC = 2 (by counting)

BC = 7 (by counting)

Using Pythagoras Theorem,

[tex]AC^{2} +BC^{2} =AB^{2}[/tex]

[tex]2^2+7^2=AB^2[/tex]

[tex]4+49=AB^2[/tex]

[tex]AB^2=58[/tex]

[tex]AB=\sqrt{58} = 7.62[/tex] (nearest hundredth)