Question

1. find the distance between points a = (9, 7) and b = (4, 3). round your answer to the nearest tenth. be sure to include your work. (3 pts)

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, $x_1 = 9,y_1 = 7,x_2 = 4,y_2 = 3$.

Step2: Substitute values

$d=\sqrt{(4 - 9)^2+(3 - 7)^2}=\sqrt{(-5)^2+(-4)^2}$.

Step3: Calculate squares and sum

$(-5)^2=25$, $(-4)^2 = 16$. Then $d=\sqrt{25 + 16}=\sqrt{41}$.

Step4: Round to nearest tenth

$\sqrt{41}\approx6.4$.

Answer:

$6.4$