Question

Find the distance between each pair of points. 3) (6, -2), (8, -3) 4) (7,-8), (-8, 2)

Answer 1

Answer:

3) $\sqrt{5}$

4)$5\sqrt{13}$

Step-by-step explanation:

distance between two points:

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

we have:

3) (6, -2), (8, -3)

$x_{1} = 6$

$y_{1} =-2$

$x_{2} = 8$

$y_{2} =-3$

so we have:

$d =\sqrt{(8-6)^{2}+ (-3-(-2))^{2}}\\\\d =\sqrt{(2)^{2}+ (-1)^{2}}\\\\d = \sqrt{4+ 1}\\\\d=\sqrt{5}$

4) (7,-8), (-8, 2)

$x_{1} = 7$

$y_{1} =-8$

$x_{2} =-8$

$y_{2} =2$

$d =\sqrt{(-8-7)^{2}+ (2-(-8))^{2}}\\\\d =\sqrt{(-15)^{2}+ (10)^{2}}\\\\d = \sqrt{225+ 100}\\\\d=\sqrt{325}\\\\d=5\sqrt{13}$