Question

distance and midpoint formulas question 10, 2.1.19 hw score: 31.03%, 9 of 29 points points: 0 of 1 find the distance d(p1,p2) between the given points p1 and p2. p1=(0,0) p2=(6,5) d(p1,p2)= (simplify your answer. type an exact answer, using radicals as needed.)

Explanation:

Step1: Recall distance formula

The distance formula between two points $P_1(x_1,y_1)$ and $P_2(x_2,y_2)$ is $d(P_1,P_2)=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Identify coordinates

Here, $x_1 = 0,y_1 = 0,x_2=6,y_2 = 5$.

Step3: Substitute values

$d(P_1,P_2)=\sqrt{(6 - 0)^2+(5 - 0)^2}=\sqrt{6^2+5^2}=\sqrt{36 + 25}=\sqrt{61}$.

Answer:

$\sqrt{61}$