Question

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

Answer 1

Answer: 14.76

Step-by-step explanation:

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

$d=\sqrt{(x_2-x_1)^ 2+(y_2-y_1)^2}$

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

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

 $d=\sqrt{(2-(-5))^ 2+(-5-8)^2}\\\\d=\sqrt{218}\\\\d=14.76$

Answer 2

ANSWER

$\sqrt{218}$

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;

$d = \sqrt{(x_2-x_1) ^{2} + {(y_2-y_1)}^{2} }$

$d = \sqrt{(2- - 5) ^{2} + {( - 5-8)}^{2} }$

$d = \sqrt{(7) ^{2} + {( - 13)}^{2} }$

$d = \sqrt{49+ 169 }$

$= \sqrt{218}$