what is the length of line de? * (15 points)
√17
2√2
√5
3√3

Question

Accepted Answer

# Explanation:
## Step1: Determine the coordinates of points D and E
Assume each grid is 1 unit. From the graph, $D(-1,-2)$ and $E(-4,0)$
## Step2: Use the distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Here $x_1=-1,y_1 = -2,x_2=-4,y_2 = 0$
$$
\begin{align*}
DE&=\sqrt{(-4-(-1))^2+(0 - (-2))^2}\
&=\sqrt{(-4 + 1)^2+(0+2)^2}\
&=\sqrt{(-3)^2+2^2}\
&=\sqrt{9 + 4}\
&=\sqrt{13}
\end{align*}
$$

# Answer:
$\sqrt{13}$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Determine the coordinates of points D and E

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

Answer: