Question

Find the distance between the points. (−13, 16), (5, −8)

Answer 1

Answer:

30

Step-by-step explanation:

Distance Formula

In a 2 dimensional plane, the distance between points (x1, y1) and (x2, y2) is given by the Pythagorean theorem:

$d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}$

Here we have (x1, y1) = (-13, 16) and (x2, y2) = (5,-8)

Simply substitute these values into the above equation to get the result

$d = \sqrt {(5 - (-13))^2 + (-8 - 16)^2}$

= $\sqrt {(18)^2 + (-24)^2}$

$= \sqrt {{324} + {576}}$

$= \sqrt {900}$

$= 30$  (Answer)

Answer 2

Solution:

$- 13 = x1$,$16 = y1$

$5 = x2$,$- 8 = y2$

Formula for finding distance between two points:

$d = \sqrt{(x2 - x1 {)}^{2} + (y2 - y1 {)}^{2} }$

$d = \sqrt{(5 + 13 {)}^{2} + (-8 - 16{)}^{2} }$

$d = \sqrt{(18 {)}^{2} + (-24{)}^{2} }$

$d = \sqrt{324{} + 576{} }$

$d = \sqrt{900{} }$

$d = 30$ Final answer.