Question

find the distance.
(9,7)
a
(3,2)
b
7.8
7.1
8.7
8.9

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $(x_1,y_1)=(3,2)$ and $(x_2,y_2)=(9,7)$.

Step2: Substitute values

$d=\sqrt{(9 - 3)^2+(7 - 2)^2}=\sqrt{6^2+5^2}=\sqrt{36 + 25}=\sqrt{61}$.

Step3: Calculate square - root

$\sqrt{61}\approx 7.81\approx7.8$.

Answer:

7.8