if $overline{df}$ has endpoints at $d(2,1)$ and $f(-6,2)$, what is the length of $overline{df}$?
round your answer to the nearest hundredth.
use the keypad to enter the answer in the box provided.
the length of $overline{df}$ is $square$ units.

Question

Accepted Answer

# Explanation:
## Step1: Identify the coordinates
Let $D(2,1)$ be $(x_1,y_1)$ and $F(-6,2)$ be $(x_2,y_2)$.
## Step2: Use the distance formula
The distance formula is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.
Substitute $x_1 = 2,y_1 = 1,x_2=-6,y_2 = 2$ into the formula:
$$
\begin{align*}
d&=\sqrt{(-6 - 2)^2+(2 - 1)^2}\
&=\sqrt{(-8)^2+1^2}\
&=\sqrt{64 + 1}\
&=\sqrt{65}
\end{align*}
$$
## Step3: Calculate the value
$\sqrt{65}\approx8.06$

# Answer:
$8.06$

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QUESTION IMAGE

Question

Explanation:

Step1: Identify the coordinates

Step2: Use the distance formula

Step3: Calculate the value

Answer: