All Tasks - Asymptote

The intersection point of the functions analytically defined by $y -3x +5 = 0$ and $y = -x +3$ is

The lines $r$, $s$, $t$, $u$, $v$ are represented in the figure. The lines $r$ and $s$ are concurrent and intersect at a point $P$. The coordinates of this point are:

The lines $r, s, t, u, v$ are represented in the figure. The analytic expression of a function whose graph is a line parallel to line $s$ and which passes through the point $(2,0)$ is, in decimal format: y=**_____**x+(**_____**)

Give all integer values of $x$ that fulfil the following two conditions: 1. The function values of $f(x) = -1-x$ are not negative. 2. The function values of $g(x) = -3x-9$ are negative.

Three friends decided to take a run. Ana used a bicycle, Filipa and Joana used cars. Joana's car is faster than Filipa's. Looking at the figure, fill in the spaces with f, g, h, or a number.

Let $A$, $B$, $C$ and $X$ be matrices with real values, and suppose that all the matrices involved have an inverse and the operations involved are all possible. Solve in order of $X$ the following matrix equation: $(B^{-T} X^T)^T - A = C$ Then, considering $$A=\begin{bmatrix} 0 & -1\\ 4 & 1 \end{bmatrix}$$, $$B=\begin{bmatrix} -2 & \frac{3}{2}\\ 1 & -\frac{1}{2} \end{bmatrix}$$ and $$C=\begin{bmatrix} 3 & -1\\ 0 & 2 \end{bmatrix}$$ compute the matrix $X$.