find the distance between the two points in simplest radical form.

Question

Accepted Answer

# Explanation:
## Step1: Identify the coordinates of the two points
Let the two points be $A(x_1,y_1)$ and $B(x_2,y_2)$. From the graph, assume one point is $(-2,-9)$ and the other is $(7,3)$.
## Step2: Use the distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Substitute $x_1=-2,y_1 = - 9,x_2=7,y_2 = 3$ into the formula:
$$
\begin{align*}
d&=\sqrt{(7-(-2))^2+(3-(-9))^2}\
&=\sqrt{(7 + 2)^2+(3 + 9)^2}\
&=\sqrt{9^2+12^2}\
&=\sqrt{81+144}\
&=\sqrt{225}
\end{align*}
$$
# Answer:
$15$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Identify the coordinates of the two points

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

Answer: