Respuesta :
Answer:
The correct option is 4. The distance between points A and B is 9.90 units.
Step-by-step explanation:
It is given that the coordinates of points are A(-4,5) and B(3,-2).
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The given points are A(-4,5) and B(3,-2),
[tex]AB=\sqrt{(3-(-4))^2+(-2-5)^2}[/tex]
[tex]AB=\sqrt{(7)^2+(-7)^2}[/tex]
[tex]AB=\sqrt{2(7)^2}[/tex]
[tex]AB=7\sqrt{2}[/tex]
[tex]AB=9.8995[/tex]
[tex]AB\approx 9.90[/tex]
Therefore the distance between points A and B is 9.90 units. Option 4 is correct.
Answer:
Option 4: 9.90 or 9.9
Step-by-step explanation:
Hope this helped