Question

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

(−3,6) and (−9,−2)

Answer 1

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 = √(36 + 16)`

`d = √(52)`

`d = √(13 * 2 * 2)`

`d = 2 √(13)`