Geometry Questions from Nov 16,2024

Browse the Geometry Q&A Archive for Nov 16,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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La ecuación de la parábola vertical con vértice en el origen y que pasa por el punto \( (2,-1) \), es: Seleccione una: a. \( x^{2}-4 y=0 \) b. \( x^{2}+4 y=0 \) c. \( y^{2}-4 x=0 \) d. \( y^{2}+4 x=0 \) Calcular la ecuación de la recta y graficar, cuando se da la pendiente y un punto. \( \begin{array}{ll}\text { a) } m=4 & P(-5,3) \\ \text { b) } m=-7 & P(5,-8) \\ \text { c) } m=3 & P(7,-4)\end{array} \) ¿Cuál es la ecuación de la parábola con vértice en el origen \( y \) cuya directriz es \( x=4 \) ? Seleccione una: a. \( y^{2}+16 x=0 \) b. \( x^{2}-16 y=0 \) c. \( y^{2}-16 x=0 \) d. \( x^{2}+16 y=0 \) La ecuación de la parábola con vértice en el origen y foco en \( (0,-4) \), es: Seleccione una: a. \( y^{2}+16 x=0 \) b. \( x^{2}+16 y=0 \) c. \( y^{2}-16 x=0 \) d. \( x^{2}-16 y=0 \) Em umà unidade do Corpo de Bombeiros, há três reservatórios utilizados para armazena- mento de água, todos com formato cúbico. o primeiro reservatório cúbico tem arestas iguais a 1 m ; o segundo, 2 m , e o terceiro, 4 m . Qual é a capacidade total dos reservatórios dessa unida- de do Corpo de Bombeiros? 1. Patty lives with both her mom and her dad. Her dad's house is 4 blocks north and 3 blocks east from her mom's house. Her school is 5 blocks west and two blocks south of her dad's house. Her best friend Blair lives 3 blocks west and 2 blocks north of Patty's school. If Patty's Mom's house is at the origin of a standard coordinate plan \( (0,0) \), what could be the coordinates of Patty's Dad's house? A. \( (3,4) \) B. \( (-3,-4) \) C. \( (4,3) \) D. \( (-4,3) \) 2. Em um planeta ficcional chamado Pizzupiter, um artista medieval crava uma gigantesca obra de arte em formato de \( \frac{3}{5} \) de pizza em um bloco de bronze. Do centro até a borda dessa enorme pizza, ele caminha e mede 12 metros. Qual é a área total aproximada desse enorme monumen- to, sabendo queo valor de \( \pi \) ê de cerca de 3,14 ? \( \begin{array}{lll}\text { d) } 452 \mathrm{~m}^{2} & \text { el } 27 \mathrm{~m}^{2} & \text { al } 37 \mathrm{~m}^{2} \\ \text { b) } 1356 \mathrm{~m}^{2} & \text { d) } 90 \mathrm{~m}^{2} & \end{array} \) Berechne die Winkel des Dreiecks mit den Ecken \( A(2 / 1 /-3), B(-3 / 0 / 1) \) und \( C(7 /-1 /-1) \) 12. Berechne die Winkeldes Dreiecks mit den Ecken \( \mathrm{A}(2 / 1 /-3), \mathrm{B}(-3 / 0 / 1) \) und \( \mathrm{C}(7 /-1 /-1) \). Si el radio de un círculo es 5 cm, ¿cuál es su circunferencia en términos de \( π \)?
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