find the distance ( dleft(p_{1}, p_{2}
ight) ) between the given points ( p_{1} ) and ( p_{2} ).
( p_{1}=(0,0) )
( p_{2}=(1,6) )
( dleft(p_{1}, p_{2}
ight)=quad ) (simplify your answer. type an exact answer, using radicals as needed.)

Question

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
Given $P_1=(0,0)$ and $P_2=(1,6)$, so $x_1 = 0$, $y_1 = 0$, $x_2=1$, $y_2 = 6$.
## Step3: Substitute into the formula
$$
\begin{align*}
d(P_1,P_2)&=\sqrt{(1 - 0)^2+(6 - 0)^2}\
&=\sqrt{1^2+6^2}\
&=\sqrt{1 + 36}\
&=\sqrt{37}
\end{align*}
$$

# 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: