Question

(-8,-4)&(2,-9) fint the distance between each pair of points

Answer 1

`5 √(5)`

Explanation:

We want to find the distance between (-8,-4) and (2,-9).

We use the distance formula:

`d = \sqrt{ {(x_2-x_1)^2} +(y_2-y_1)^2 }`

We substitute the coordinates to get:

`d = \sqrt{ {(2- - 8)^2} +( - 9 - - 4)^2 }`

We simplify to obtain:

`d = \sqrt{ {(2 + 8)^2}+( - 9 + 4)^2 }`

Add the numbers within the parenthesis to get:

`d = \sqrt{ {(10)^2}+( -5)^2 }`

Find the squares of the numbers under the radical

`d = \sqrt{ {100}+25}`

`d = √(125) = 5 √(5)`