Respuesta :

(a) The value of PQ to the nearest tenth can be determined as,

[tex]\begin{gathered} PQ=\sqrt[]{(4-(-2))^2+(-4-(-3))^2} \\ =\sqrt[]{6^2+(-1)^2} \\ =\sqrt[]{36+1} \\ =\sqrt[]{37} \\ =6.08\approx6.1 \end{gathered}[/tex]

(b) The coordinate of the mid point of PQ can be determined as,

[tex]\begin{gathered} (x,y)=\frac{4-2}{2},\frac{-4-3}{2} \\ =1,-3.5 \end{gathered}[/tex]

Thus, the required coordinate of the mid point of PQ is (1,-3.5).