Question

find the distance between the points $(-4,4)$ and $(9,-9)$. round decimals to the nearest tenth. 22.5 18.4 17.3 26.0

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(9,-9)\)

Step2: Use the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Substitute the values: \(x_2 - x_1=9-(-4)=9 + 4=13\), \(y_2 - y_1=-9 - 4=-13\)
Then \(d=\sqrt{(13)^2+(-13)^2}=\sqrt{169 + 169}=\sqrt{338}\)

Step3: Calculate the square - root

\(\sqrt{338}\approx18.4\) (rounded to the nearest tenth)

Answer:

18.4