what is the length of PQ round to the nearest tenth of a unit p(-3 ,7) q(6 ,1)
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,
\(PQ = \sqrt{(6-(-3))^2+(1-7)^2}\)
\(=\sqrt{(6+3)^2+(-6)^2\)
\(=\sqrt{9^2+ 36}\)
\(=\sqrt{81+36}=\sqrt{117}=10.8166538264\approx 10.8\)
Thus, the approximate length of PQ is 10.8 unit.