Respuesta :

Adinex

Answer:

[tex]AB =3 \sqrt{5} = 6.708203932...[/tex]

Step-by-step explanation:

[tex]A( - 1,6) \:,\: B(5,3)\\ AB = \sqrt{{(x1 - x2)}^{2} + {(y1 - y2)}^{2} } \\ AB = \sqrt{ {( - 1 - 5)}^{2} + {(6 - 3)}^{2} } \\ AB = \sqrt{ {( - 6)}^{2} + {(3)}^{2} } \\ AB = \sqrt{36 + 9} \\ AB = \sqrt{45} = 3 \sqrt{5} = 6.708203932...[/tex]

abidemiokin

The distance between A and B to 3 significant figure is 6.71

The formula for calculating the distance between two points is expressed as:

[tex]D =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Given the coordinate points (-1, 6) and (5, 3)

Substitute the given coordinates into the formula;

[tex]D =\sqrt{5+1)^2+(3-6)^2}\\D =\sqrt{(6^2+(-3)^2}\\D=\sqrt{36+9}\\D=\sqrt{45}\\D= 6.71\\[/tex]

Hence the distance between A and B to 3 significant figure is 6.71

Learn more here: https://brainly.com/question/22624745

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