directions - use the distance formula to find the distance betwe
1
$(-2,8)$ and $(4,0)$
distance formula: $sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$
distance $=$

Question

Accepted Answer

# Explanation:
## Step1: Identify coordinates
Let $(x_1,y_1)=(-2,8)$ and $(x_2,y_2)=(4,0)$
## Step2: Substitute into distance formula
$$
\begin{align*}
d&=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\
&=\sqrt{(4-(-2))^2+(0 - 8)^2}\
&=\sqrt{(4 + 2)^2+(-8)^2}\
\end{align*}
$$
## Step3: Simplify expressions inside the square - root
$$
\begin{align*}
d&=\sqrt{6^2+(-8)^2}\
&=\sqrt{36 + 64}\
&=\sqrt{100}
\end{align*}
$$
## Step4: Calculate the square - root
$d = 10$

# Answer:
$10$

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QUESTION IMAGE

Question

Explanation:

Step1: Identify coordinates

Step2: Substitute into distance formula

Step3: Simplify expressions inside the square - root

Step4: Calculate the square - root

Answer: