For the points P and Q, find the distance d(P, Q).
-$\mathrm { P } ( 5,4 ) , \mathrm { Q } ( - 4 , - 1 )$
A) $\sqrt { 56 }$
B) 4
C) 45
D) $\sqrt { 106 }$

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(5,4) and Q(-4,-1), the distance is $\sqrt{(-4 - 5)^2 + (-1 - 4)^2} = \sqrt{(-9)^2 + (-5)^2} = \sqrt{81 + 25} = \sqrt{106}$.

For the Points P and Q, Find the Distance D(P P(5,4),Q(−4,−1)\mathrm { P } ( 5,4 ) , \mathrm { Q } ( - 4 , - 1 )P(5,4),Q(−4,−1)

For the Points P and Q, Find the Distance D(P $\mathrm { P } ( 5,4 ) , \mathrm { Q } ( - 4 , - 1 )$