4. Por el incentro \( \mathbb{I} \) de un triángulo rectángulo se traza \( \overline{I P} \) perpendicular al plano que contiene al triángulo tal que \( I P=2 \mathrm{u} \). Si los catetos miden \( 3 u \) y 4 u , entonces la distancia \( ( \) en u ) del punto P a la hipotenusa es.

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. \[ [y=-2 x-3 ; y=-6 x-19] \]

What does area mean?

Disegnare le rette di equazione: a. \( y=3 x-5 \) b. \( x+2 y-4=0 \) c. \( x=-3 \) d. \( y=1 \) Capire se le coppie di rette a.-b. e c.-d. sono parallele, perpendicolari incidenti.

Day 1: Name the 2d shapes

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. \( \begin{array}{ll}\text { a) } A(1 \mid 2) ; B(2 \mid 0) ; C(4 \mid 2) ; D(2 \mid 4) & \text { b) } A(4,5 \mid 1) ; B(13 \mid 5) ; C(8 \mid 10,5) ; D(1 \mid 9,5) \\ \text { c) } A(2 \mid 5) ; B(5 \mid 2) ; C(12 \mid 5) ; D(5 \mid 8) & \text { d) } A(6 \mid 1,5) ; B(10,5 \mid 1) ; C(10 \mid 5,5) ; D(2 \mid 9,5)\end{array} \)