Q:
Reduce la ecuación dada a la
forma canónica y luego realiza su
gráfica.
a. \( x^{2}+4 x+32 y+4 y^{2}=64 \)
b. \( 9 x^{2}+4 y^{2}=36 \)
c. \( 12 y^{2}-144 x-48 y+18 x^{2}+120=0 \)
d. \( 3 x^{2}+4 x=3 y-y^{2}-1 \)
Q:
14. If the height of the thiangle is 9 ft what is the
area of the triangle?
A. \( 184 \mathrm{kt}^{2} \)
B. \( 148 \mathrm{kt}^{2} \)
C. \( 117 \mathrm{kt}^{2} \)
D. \( 178 \mathrm{kt}^{2} \)
Q:
a. \( m \angle 3+m \angle 5=180 \)
b. \( m \angle 2+m \angle 6=180 \)
c. \( m \angle 8=m \angle 1 \)
Q:
An architect is working on a design project comprised of triangles. He has 2 pieces of metal rods
measuring 8 feet and 11 feet for one of the triangles in the design. He would like the triangle to be
obtuse. What would be a possible length for the third metal rod if it is to be the longest rod? Be
sure to justify your answer.
Q:
1) Un cuadrado tiene un area de \( 36 \mathrm{~cm}^{2} \).
¿Cuánto mide su (a)do?
(a) 6 cm b) 9 cm ch 12 cm d) \( 18 \mathrm{cly/} \)
Q:
Un cuadrado tiene un area de 36 cm
¿Cuánto mide suladg?
\( \begin{array}{ll}\text { (a) } 6 \mathrm{~cm} \text { b) } 9 \mathrm{~cm} \text { di } & \mathrm{cm} \text { d) } 18 \mathrm{~cm}\end{array} \)
Q:
5. In Triangle \( M N O, \angle N \) is 5
times the measure of \( \angle M \), and
\( \angle O \) is 4 times the measure of
\( \angle M \).
Q:
If \( \mathrm{P}=(5,4) \), find the image
of P under the following rotation.
\( 90^{\circ} \) counterclockwise about the origin
\( ([?],[]) \)
Enter the number that belongs in
the green box.
Q:
\( \left\{\begin{array}{l}\text { 3. Decidir, justificando adecuadamente, si las siguientes proposiciones son } \mathrm{V} \text { o } \mathrm{F} \text { : } \\ \text { a) El plano: } \pi:(x ; y ; z)=\alpha(1 ; 0 ;-1)+\beta(0 ; 1 ; 2)+(0 ; 0 ; 2) \text { y la recta } r:(x ; y ; z)=\lambda(2 ; 1 ; 0)+ \\ (2 ; 1 ; 2) \text { son perpendiculares. } \\ \text { b) Dados dos vectores perpendiculares } \vec{u} \text { y } \vec{w} \text {, se sabe que satisfacen: }\|\vec{w}\|=2\|\vec{u}\| \text {, entonces } \\ (3 \vec{u}+3 \vec{w}) \cdot(-\vec{w}+4 \vec{u})=0\end{array}\right. \)
Q:
Selena Henson is planning a patio that will adjoin the sides of her L-shaped home. One side of the patio is 8 ft and the other is 6 ft . The shape of the patio is triangular. Determine a representation
of the patio and find the perimeter if the length of the third side is 10 ft .
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