ANSWER
[tex] \sqrt{65} [/tex]
EXPLANATION
We were given the points,
(-5,1) and (3,0).
We use the distance formula to obtain;
[tex]d = \sqrt{ {(x_2-x_1)}^{2} + {(y_2-y_1)}^{2} } [/tex]
Let [tex](x_1,y_1)=(-5,1)[/tex]
and [tex](x_2,y_2)=(3,0)[/tex]
We substitute these values to get,
[tex]d = \sqrt{ {(3 - - 5)}^{2} + {(0 - 1)}^{2} } [/tex]
Simplify
[tex]d = \sqrt{ {(8)}^{2} + {( - 1)}^{2} } [/tex]
[tex]d = \sqrt{ 64 + 1} [/tex]
[tex]d = \sqrt{65} [/tex]
