Question

1. what is the distance between the points (4, 3) and (7, 8)?

4.47
7.07
6.40
5.83

Explanation:

Step1: Identify distance formula

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

Step2: Substitute values

Here, $x_1 = 4,y_1 = 3,x_2 = 7,y_2 = 8$. So $d=\sqrt{(7 - 4)^2+(8 - 3)^2}=\sqrt{3^2 + 5^2}=\sqrt{9 + 25}=\sqrt{34}$.

Step3: Calculate square - root value

$\sqrt{34}\approx5.83$.

Answer:

$5.83$