find the distance between the two points in simplest radical form.

Question

Accepted Answer

# Explanation:
## Step1: Identify the coordinates of the two points
Assume the two points are $(x_1,y_1)=(2, - 9)$ and $(x_2,y_2)=(4,-4)$
## Step2: Use the distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Substitute $x_1 = 2,y_1=-9,x_2 = 4,y_2=-4$ into the formula:
$$
\begin{align*}
d&=\sqrt{(4 - 2)^2+(-4+9)^2}\
&=\sqrt{2^2 + 5^2}\
&=\sqrt{4 + 25}\
&=\sqrt{29}
\end{align*}
$$

# Answer:
$\sqrt{29}$

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QUESTION IMAGE

Question

Explanation:

Step1: Identify the coordinates of the two points

Step2: Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

Answer: