Respuesta :

Answer:

[tex]D=\sqrt{145 }\\[/tex]

Step-by-step explanation:

We are actually using Pythagorean theorem here but to be simple

we can use the equation:

D(distance)=[tex]\sqrt{(x_{1}- x_{2} )^{2} +( y_{1}-y_{2})^{2}}[/tex]

=

[tex]D=\sqrt{(15-3)^{2}+(6-7)^{2} } =\\D=\sqrt{(12)^{2}+(-1)^{2} } =\\\\D=\sqrt{144+1 } =\\D=\sqrt{145 }\\[/tex]

(If you meant 16 instead of 6 the answer would be 15)

Hope this helps!