Respuesta :

luisejr77

Answer: 14.76

Step-by-step explanation:

You need to use this formula for calculate the distance betweeen two points:

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

Given the points (-5,8) and (2,-5), you only has to substitute the coordinates of these points into the formula [tex]d=\sqrt{(x_2-x_1)^ 2+(y_2-y_1)^2}[/tex].

Therefore, you get that the distance between these two points is the following:

 [tex]d=\sqrt{(2-(-5))^ 2+(-5-8)^2}\\\\d=\sqrt{218}\\\\d=14.76[/tex]

kudzordzifrancis

ANSWER

[tex]\sqrt{218} [/tex]

EXPLANATION

We want find the distance between the pair of points with the given coordinates. (-5,8) and (2,-5)

We use the distance formula given by;

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

[tex]d = \sqrt{(2- - 5) ^{2} + {( - 5-8)}^{2} } [/tex]

[tex]d = \sqrt{(7) ^{2} + {( - 13)}^{2} } [/tex]

[tex]d = \sqrt{49+ 169 } [/tex]

[tex] = \sqrt{218} [/tex]

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