Question

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

Answer 1

ANSWER

$\sqrt{65}$

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

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

$d = \sqrt{ 64 + 1}$

$d = \sqrt{65}$