Question

HELP!!!! NUMBER 2

2. Find the distance between these two points.
First Point
Second Point
Distance
(5, - 2)
(8,6)
(5,6)
(-3,6)
(-3,6)
(5,-2)

Answer 1

1. 8

2 . 11

`3 . √(128) \ or \ 8 \sqrt2`

Explanation:

`Distance = √((x_2 -x_1)^2 + (y_2 - y_1)^2 )`

1 . ( 5 , - 2 ) and ( 5 , 6 )

`Distance = √((5 -5)^2 + ( 6-(-2))^2) = √( 0 + 8^2 ) = √(64) = 8`

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

`Distance = √(( -3 -8)^2 + ( 6 - 6)^2 ) = √( (-11)^2 + 0 ) = \sqrt { 121 } = 11`

3. ( 5 , - 2 ) and ( -3 , 6 )

`Distance = √((-3 - 5)^2 + ( 6 --2)^2) = √((-8)^2 + ( 8)^2) = √( 64 + 64 ) = √(128)`

`[ \ √(128) = √( 2 * 64) = √( 2 * 8^2 ) = 8 √(2) \ ]`