What is the approximate distance between points A and B? A coordinate grid is shown from negative 5 to 0 to 5 on both axes at increments of 1. The ordered pair negative 4, 5 is labeled as A, and the ordered pair 3, negative 2 is labeled as B. 3.74 7.95 8.56 9.90

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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