find the distance between the two points.
(2, -9), (-1, 4)
√((x₂ - x₁)² + (y₂ - y₁)²)

Question

Accepted Answer

# Explanation:
## Step1: Identify the coordinates
Let $(x_1,y_1)=(2,-9)$ and $(x_2,y_2)=(-1,4)$
## Step2: Substitute into the distance formula
$$
\begin{align*}
d&=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\
&=\sqrt{(-1 - 2)^2+(4-(-9))^2}\
&=\sqrt{(-3)^2+(4 + 9)^2}\
&=\sqrt{9+169}\
&=\sqrt{178}
\end{align*}
$$

# Answer:
$\sqrt{178}$

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QUESTION IMAGE

Question

Explanation:

Step1: Identify the coordinates

Step2: Substitute into the distance formula

Answer: