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6. given the graph below, find wv.

Question

  1. given the graph below, find wv.

Explanation:

Step1: Find coordinates of \( W \) and \( V \)

From the graph, \( W(-3,-1) \), \( V(0,3) \).

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

Let \( (x_1,y_1)=(-3,-1) \), \( (x_2,y_2)=(0,3) \).
\( WV=\sqrt{(0 - (-3))^2+(3 - (-1))^2}=\sqrt{(3)^2+(4)^2} \).

Step3: Calculate the value

\( WV=\sqrt{9 + 16}=\sqrt{25}=5 \).

Answer:

\( 5 \)