(a) Determine el valor del área del triángulo cuyo vértices son \( \mathrm{A}(-1,2,4), \mathrm{B}(0,3,1) \) y \( \mathrm{C}(2,0,-2) \).

22. \( A B C \) düzbucaqlı üçbucağında \( C M \) median və \( A D \) tənböləndir. \( \angle A C B=90^{\circ}, C M=30 \mathrm{sm} \) va \( C D: D B=2: 5 \) olarsa, \( A C \) katetini tapın

How long is an arc intercepted by the given central angle in a circle of radius 3.97 km ? \( 150^{\circ} \)

5. Draw the points in a coordinate system (unit 1 cm\( ) \). Connect them to form a square and calculate the area. To do this, measure the required lengths. \( \begin{array}{ll}\text { a) } A(1 \mid 2) ; B(2 \mid 0) ; C(4 \mid 2) ; D(2 \mid 4) & \text { b) } A(4,5 \mid 1) ; B(13 \mid 5) ; C(8 \mid 10,5) ; D(1 \mid 9,5) \\ \text { c) } A(2 \mid 5) ; B(5 \mid 2) ; C(12 \mid 5) ; D(5 \mid 8) & \text { d) } A(6 \mid 1,5) ; B(10,5 \mid 1) ; C(10 \mid 5,5) ; D(2 \mid 9,5)\end{array} \)

Data la parabola di equazione \( y=x^{2}+4 x+6 \), determina le equazioni delle rette passanti per \( P(-4 ; 5) \) e tangenti alla parabola. \[ [y=-2 x-3 ; y=-6 x-19] \]

(7) OPEN ENDED QUESTION Why is area a squared unit?