For the points P and Q, find the distance d(P, Q).
-$\mathrm { P } ( 2,7 ) , \mathrm { Q } ( - 1 , - 3 )$
A) $- 7$
B) $\sqrt { 91 }$
C) $\sqrt { 109 }$
D) 30

Question

Quizplus · Accepted Answer

The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Substituting the given points P(2,7) and Q(-1,-3), the distance is $\sqrt{(-1-2)^2 + (-3-7)^2} = \sqrt{(-3)^2 + (-10)^2} = \sqrt{9 + 100} = \sqrt{109}$.

For the Points P and Q, Find the Distance D(P P(2,7),Q(−1,−3)\mathrm { P } ( 2,7 ) , \mathrm { Q } ( - 1 , - 3 )P(2,7),Q(−1,−3)

For the Points P and Q, Find the Distance D(P $\mathrm { P } ( 2,7 ) , \mathrm { Q } ( - 1 , - 3 )$