To find the distance between two points, you can use the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.
Given the points (-10, 10) and (-5, 7), we can assign:
\((x_1, y_1) = (-10, 10)\)
\((x_2, y_2) = (-5, 7)\)
Now, substituting these values into the distance formula:
\[ d = \sqrt{((-5) - (-10))^2 + (7 - 10)^2} \] \[ = \sqrt{(-5 + 10)^2 + (7 - 10)^2} \] \[ = \sqrt{(5)^2 + (-3)^2} \] \[ = \sqrt{25 + 9} \] \[ = \sqrt{34} \]
Now, calculate \(\sqrt{34}\):
\[ \sqrt{34} \approx 5.831 \]
Rounding this to the nearest tenth:
The distance of Line A is approximately 5.8.
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