Question

A(-5,-4) B(13,5)

Answer 1

Answer: d = 9$\sqrt{5}$

Step-by-step explanation:

The formula for finding distance between two points is given by :

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

$x_{1}$ = -5

$x_{2}$ = 13

$y_{1}$ = -4

$y_{2}$ = 5

substituting into the formula , we have

d = $\sqrt{(13-(-5))^{2}+(5-(-4))^{2}}$

d = $\sqrt{(13+5)^{2}+(5+4)^{2}}$

d = $\sqrt{(18)^{2}+(9)^{2}}$

d = $\sqrt{324 + 81}$

d = $\sqrt{405}$

d = 9$\sqrt{5}$