Question

question
find the distance between the two points rounding to the nearest tenth (if necessary).
(-2,5) and (-5,3)

Explanation:

Step1: Recall 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, $x_1=-2,y_1 = 5,x_2=-5,y_2 = 3$.

Step2: Calculate differences

First, find $x_2 - x_1$ and $y_2 - y_1$. $x_2 - x_1=-5-(-2)=-5 + 2=-3$ and $y_2 - y_1=3 - 5=-2$.

Step3: Square the differences

Square the results from step 2. $(-3)^2 = 9$ and $(-2)^2=4$.

Step4: Sum the squared differences

Add the squared - differences: $9 + 4=13$.

Step5: Calculate the square - root

$d=\sqrt{13}\approx3.6$ (rounded to the nearest tenth).

Answer:

$3.6$