Question

find the distance between the points (-9, -9) and (-4, 3). round decimals to the nearest tenth. units

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, $(x_1,y_1)=(-9,-9)$ and $(x_2,y_2)=(-4,3)$.

Step2: Calculate differences

First, find $x_2 - x_1$ and $y_2 - y_1$. $x_2 - x_1=-4-(-9)=-4 + 9 = 5$, and $y_2 - y_1=3-(-9)=3 + 9 = 12$.

Step3: Square the differences

Square the results from Step 2. $(x_2 - x_1)^2=5^2 = 25$ and $(y_2 - y_1)^2=12^2 = 144$.

Step4: Sum the squared differences

Add the squared - differences: $(x_2 - x_1)^2+(y_2 - y_1)^2=25 + 144=169$.

Step5: Calculate the square - root

Take the square - root of the sum: $d=\sqrt{169}=13$.

Answer:

13