Find the distance between the pair of points. \( \left(-6, \frac{4}{5}\right) \) and \( \left(6, \frac{4}{5}\right) \)
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To find the distance between the points \( \left(-6, \frac{4}{5}\right) \) and \( \left(6, \frac{4}{5}\right) \), we can use the distance formula for points in a coordinate plane. However, since both points have the same y-coordinate, the distance can be easily calculated as the difference in their x-coordinates. The distance formula is given by: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] Plugging in our points \( (-6, \frac{4}{5}) \) and \( (6, \frac{4}{5}) \): \[ d = \sqrt{(6 - (-6))^2 + \left(\frac{4}{5} - \frac{4}{5}\right)^2} \] This simplifies to: \[ d = \sqrt{(6 + 6)^2 + (0)^2} = \sqrt{12^2} = 12 \] Therefore, the distance between the points is \( 12 \).