Question

What is the distance from (-5,1) to (3,0)
Sqrt63, sqrt65 sqry67 sqrt69?

Answer 1

ANSWER


`√(65)`

Step-by-step explanation

We were given the points,

(-5,1) and (3,0).

We use the distance formula to obtain;


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

Let
`(x_1,y_1)=(-5,1)`

and
`(x_2,y_2)=(3,0)`


We substitute these values to get,


`d = \sqrt{ {(3 - - 5)}^(2) + {(0 - 1)}^(2) }`

Simplify


`d = \sqrt{ {(8)}^(2) + {( - 1)}^(2) }`


`d = √( 64 + 1)`


`d = √(65)`