Mark multiplied the expression \( \frac{3 x^{2}-27}{6 x+30} \cdot \frac{x^{2}+9 x+20}{x^{2}-x-12} \) incorrectly. First, Mark factored each of the polynomial expressions: \( \frac{3(x+3)(x-3)}{6(x+5)} \cdot \frac{(x+5)(x+4)}{(x+3)(x-4)} \). Next, Mark divided out common factors and got the answer: \( \frac{x+3}{2} \). Determine Mark's error. Option \#1: Mark factored incorrectly. Option \#2: Mark divided out common factors incorrectly. (1 point) Option \# \( \square \) shows Mark's norror.

Graph the equation \( y=x^{2}-12 x+35 \) on the accompanying set of axes. You must plot 5 points including the roots and the vertex. Using the graph, determine the equation of the axis of symmetry. Click to plot points. Click points to delete them.

The diagram shows a semicircle with diameter \( A B \). \( O \) is the midpoint of \( A B \) and \( C \) is a point on the circumference (i) Calculate the area of triangle \( A B C \).

exponential equation \( 4^{k}=18 \)

3. Высота ромба делит ето сторону пополам. Найдите углы ромба. 4. Внутои квалпата лвгп.

EXERCICE 1 Déterminer les dérivées des fonctions suivantes définies sur \( \mathbb{R} \). \( \begin{array}{ll}\text { 1) } f(x)=10 & \text { 4) } k(x)=7,5 x+\frac{1}{4} \\ \text { 2) } g(x)=3 x+2 & \text { 5) } l(x)=-9 x+10,1 \\ \text { 3) } h(x)=5 x & \text { 6] } m(t)=-2 t+5,4\end{array} \)