Question

part b (copy) using the same points, find the distance between them. round your answer to the nearest tenths place (ex 1.2)

Explanation:

Step1: Identify the coordinates

Let the two - point be $(x_1,y_1)$ and $(x_2,y_2)$. From the graph, assume the first point is $(0, - 3)$ and the second point is $(4,1)$.

Step2: Apply the distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Substitute $x_1 = 0,y_1=-3,x_2 = 4,y_2 = 1$ into the formula: $d=\sqrt{(4 - 0)^2+(1-(-3))^2}=\sqrt{4^2+4^2}=\sqrt{16 + 16}=\sqrt{32}$.

Step3: Simplify and round

$\sqrt{32}=4\sqrt{2}\approx4\times1.414 = 5.656$. Rounding to the nearest tenth, we get $d\approx5.7$.

Answer:

$5.7$