Question

find the length of the segment connecting (3, -3) and (0, -2). provide an answer accurate to the nearest tenth.

Explanation:

Step1: Identify the distance - formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.
Let $(x_1,y_1)=(3,-3)$ and $(x_2,y_2)=(0,-2)$.

Step2: Calculate the differences

$x_2 - x_1=0 - 3=-3$ and $y_2 - y_1=-2-( - 3)=-2 + 3 = 1$.

Step3: Square the differences

$(x_2 - x_1)^2=(-3)^2 = 9$ and $(y_2 - y_1)^2=1^2 = 1$.

Step4: Sum the squared differences

$(x_2 - x_1)^2+(y_2 - y_1)^2=9 + 1=10$.

Step5: Calculate the distance

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

Answer:

$3.2$