📘 algebra,trigonometry

1. **Problem 1:** Find the distance of the point $A(4a, 3a)$ from the x-axis. - The distance of any point $(x, y)$ from the x-axis is the absolute value of its $y$-coordinate.

1. **Problem statement:** Find when the ball is at a height of 25 m using the quadratic formula. 2. **General form:** The height $h$ of a ball thrown upwards can be modeled by a qu

1. **State the problem:** We are given a ratio of coaches to athletes as 1 to 26. If there are $x$ coaches, we need to find an expression for the number of athletes.

1. **Problem 1: Solve the quadratic equation** $x^2 + 8x + 15 = 0$. 2. The standard form of a quadratic equation is $ax^2 + bx + c = 0$. Here, $a=1$, $b=8$, and $c=15$.

1. **مسئله اول:** مساحت بین نمودار تابع متناوب $$f(x) = ||x| - 1| - |x| - 1|$$ و خطوط $$x=9$$ و $$x=12$$ را بیابید. 2. تابع داده شده متناوب است و دوره تناوب آن را باید پیدا کنیم. ت

1. Solve $\log_2(3x + 1) - 2\log_2 x = \log_{\frac{1}{3}} 27$. Step 1: Use log properties: $2\log_2 x = \log_2 x^2$.

1. **Problem A: Closed form for the sequence** The sequence is given by $a_1 = 1$ and $a_{n+1} = a_n + n + 1$.