calculate the distance between the points $m=(2,0)$ and $h=(-2,3)$ in the coordinate plane. give an exact answer (not a decimal approximation).

Question

Accepted Answer

# Explanation:
## Step1: Identify the coordinates
Given $M=(2,0)$ and $H=(-2,3)$. Let $(x_1,y_1)=(2,0)$ and $(x_2,y_2)=(-2,3)$.
## Step2: Use the distance formula
The distance formula is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.
Substitute the values:
$$
\begin{align*}
d&=\sqrt{(-2 - 2)^2+(3 - 0)^2}\
&=\sqrt{(-4)^2+3^2}\
&=\sqrt{16 + 9}\
&=\sqrt{25}
\end{align*}
$$

# Answer:
$5$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Identify the coordinates

Step2: Use the distance formula

Answer: