Question

Find the distance between the two points rounding to the nearest tenth (if necessary).

Answer 1

Step-by-step explanation:

Distance between (−3,6) and (−9,−2):

$(x_1, y_1)$

= coordinates of the first point

= (-3,6)

$(x_2, y_2)$

= coordinates of the second point

= (-9,-2)

$d = \sqrt{(x_2 - {x _1) }^{2} + (y_2 - {y _1) }^{2}}$

$d = \sqrt{ (- 9 - ( - 3) {)}^{2} + ( - 2 + 6 {)}^{2} }$

$d \: = \sqrt{ (- 6 {)}^{2} +( 4 {)}^{2} }$

$d = \sqrt{36 + 16}$

$d = \sqrt{52}$

$d = \sqrt{13 \times 2 \times 2}$

$d = 2 \sqrt{13}$