find the distance between the two points in simplest radical form. (6, - 1) and (-2, -9)

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Accepted Answer

# Explanation:
## Step1: Identify the coordinates
Let $(x_1,y_1)=(6, - 1)$ and $(x_2,y_2)=(-2,-9)$
## Step2: Use the distance formula
The distance formula is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Substitute the values:
$$
\begin{align*}
d&=\sqrt{(-2 - 6)^2+(-9+1)^2}\
&=\sqrt{(-8)^2+(-8)^2}\
&=\sqrt{64 + 64}\
&=\sqrt{128}\
&=\sqrt{64\times2}\
& = 8\sqrt{2}
\end{align*}
$$

# Answer:
$8\sqrt{2}$

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QUESTION IMAGE

Question

Explanation:

Step1: Identify the coordinates

Step2: Use the distance formula

Answer: