what is the length of ck to the nearest tenth?

Question

Accepted Answer

# Explanation:
## Step1: Determine the coordinates of points C and K
Assume each grid is 1 unit. Let's say point C is at $(x_1,y_1)=(6,3)$ and point K is at $(x_2,y_2)=(3, - 2)$
## Step2: Use the distance formula $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Substitute $x_1 = 6,y_1 = 3,x_2 = 3,y_2=-2$ into the formula:
$$
\begin{align*}
d&=\sqrt{(3 - 6)^2+(-2 - 3)^2}\
&=\sqrt{(-3)^2+(-5)^2}\
&=\sqrt{9 + 25}\
&=\sqrt{34}
\end{align*}
$$
## Step3: Calculate the numerical value
$\sqrt{34}\approx5.8$

# Answer:
$5.8$

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QUESTION IMAGE

Question

Explanation:

Step1: Determine the coordinates of points C and K

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

Step3: Calculate the numerical value

Answer: