Question

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

Answer 1

`√(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 = √(49+ 169 )`

`= √(218)`

Answer 2

Answer: 14.76

Explanation:

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

`d=√((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=√((x_2-x_1)^ 2+(y_2-y_1)^2)`.

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

`d=√((2-(-5))^ 2+(-5-8)^2)\\\\d=√(218)\\\\d=14.76`