Question

1. what is the distance between the points (4, 4) and (7, 3)? (round to the nearest tenth)

a. 2.2
b. 3.0
c. 3.2
d. 3.6

Explanation:

Step1: Identify distance - formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 4,y_1 = 4,x_2 = 7,y_2 = 3$.

Step2: Substitute values

$d=\sqrt{(7 - 4)^2+(3 - 4)^2}=\sqrt{3^2+( - 1)^2}=\sqrt{9 + 1}=\sqrt{10}$.

Step3: Calculate and round

$\sqrt{10}\approx3.2$.

Answer:

C. 3.2