QUESTION IMAGE
Question
the point on the graph represents anns location. she is using a metal detector on the beach to see what she can find. each unit on the graph represents 2 feet. #23. a piece of jewelry is located at (7, 6). find the length of the most direct path between ann and the jewelry. the length of the most directed path between ann and the jewelry is feet.
Step1: Identify coordinates
Ann's location seems to be at (- 3,3), jewelry at (7,6).
Step2: Use distance formula
The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here $x_1=-3,y_1 = 3,x_2=7,y_2 = 6$. Then $d=\sqrt{(7-(-3))^2+(6 - 3)^2}=\sqrt{(10)^2+(3)^2}=\sqrt{100 + 9}=\sqrt{109}$.
Step3: Adjust for scale
Since each unit represents 2 feet, the actual distance $D = 2\sqrt{109}\approx2\times10.44 = 20.88\approx20.9$ feet.
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$20.9$