Answer: The approximate length of PQ is 10.8 unit.
Step-by-step explanation:
Here the coordinates of point P are (-3,7) and the coordinates of Q are (6,1)
Thus, by the distance formula,
The distance between the points P and Q is,
[tex]PQ = \sqrt{(6-(-3))^2+(1-7)^2}[/tex]
[tex]=\sqrt{(6+3)^2+(-6)^2[/tex]
[tex]=\sqrt{9^2+ 36}[/tex]
[tex]=\sqrt{81+36}=\sqrt{117}=10.8166538264\approx 10.8[/tex]
Thus, the approximate length of PQ is 10.8 unit.
