Question

find the distance between the points ( 3,-9) and ( -2,5) ?​

Answer 1

Answer:

distance between the points is $\sqrt{221 }$

Step-by-step explanation:

To find the distance two points

P($x_{1},y_{1}$)=(3,-9)

Q($x_{2},y_{2}$)=(-2,5)

d(P,Q)=$\sqrt{(x_{2}-x_{1} )^{2} +((y_{2}-y_{1}) ^{2} }$

Distance  =$\sqrt{(-2-3 )^{2} +(5-(-9)) ^{2} }$

Distance=$\sqrt{(-5 )^{2} +(14) ^{2} }$

              =$\sqrt{25+196 }$

             =$\sqrt{221 }$=$\sqrt{13X17}$

            =14.866 cm