Question

PK has endpoints at P(6,-3) and K(3,-9). How long is PK

Answer 1

`d=√(45)`, or
`d=3√(5)`, or about 6.7

Explanation:

[] We can use the distance formula to solve.

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

-> P(6, -3) will be point one

-> P(3, -9) will be point two

[] Plugging in and solving:

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

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

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

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

`d=√(9 +36 )`

`d=√(45)`

`d=3√(5)`

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather