10. (20 points) Point $A$ lies on the line $y=\frac{5}{12} x-7$, and point $B$ lies on the parabola $y=x^{2}$. What is the minimum length of segment $A B$?
Answer: $4007 / 624$

![](https://cdn.mathpix.com/cropped/2024_05_06_081089fad0dfdfd5c2f6g-11.jpg?height=283&width=263&top_left_y=101&top_left_x=611)

## Innopolis Open

Mathematics Olympiad

Innopolis University

Qualifying (correspondence) stage in mathematics, December 2, 2018

9th grade, variant 6.