find the distance ( d(p_1,p_2) ) between the given points ( p_1 ) and ( p_2 ).
( p_1=(0,0) )
( p_2=(0,1) )
( d(p_1,p_2)= ) (simplify your answer. type an exact answer, using radicals as needed)

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Accepted Answer

# Explanation:
## Step1: Recall the distance formula
The distance formula between two points $P_1=(x_1,y_1)$ and $P_2=(x_2,y_2)$ is $d(P_1,P_2)=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.
## Step2: Identify the coordinates
Here, $x_1 = 0,y_1 = 0,x_2 = 6,y_2 = 1$.
## Step3: Substitute into the formula
$$
\begin{align*}
d(P_1,P_2)&=\sqrt{(6 - 0)^2+(1 - 0)^2}\
&=\sqrt{6^2+1^2}\
&=\sqrt{36 + 1}\
&=\sqrt{37}
\end{align*}
$$

# Answer:
$\sqrt{37}$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the distance formula

Step2: Identify the coordinates

Step3: Substitute into the formula

Answer: