Geometry Questions from Dec 02,2024

Browse the Geometry Q&A Archive for Dec 02,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\( (-6,0) \) and \( (0,3), x-2 y=-6 \) 2. Apply the two-point form \( y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\left(x-x_{1}\right) \) to show that if the line passes through the intercepts \( (a, 0) \) and \( (b, 0) \), the equation can be simplified to \( \frac{x}{a}+\frac{y}{b}=1 \), where \( a \neq 0 \) and \( b \neq 0 \), \( y=0 \) and \( x=9 \) A right circular cone is cut into two equal parts. yhe lateral surface area of one of the parts is equal to 10. thrice the lateral surfaqe area of a hemisphere whin a radius equal to 8 cm . What is the area of the right circular Eane? Explain what distinguishes a circle from other geometric shapes. 7. Draw a quadrilateral with exactly one pair of parallel sides. \( \left.\begin{array}{l}\text { Los lados de un triángulo en el plano } \mathrm{XY} \text { tienen las siguientes ecuaciones: } \\ R 1: x+y-16=0 \\ R 2: x-y-1=0 \\ R 3: 4 x+y+11=0 \\ \text { 1. Hallar los vértices del triángulo y marcar de la siguiente manera: } \\ \text { Intersección de R1 con } \mathrm{R} 1 \rightarrow \text { Vértice } \mathrm{A} \\ \text { Intersección de R2 con } \mathrm{R} 3 \rightarrow \text { Vértice } \mathrm{B} \\ \text { Intersección de R3 con } \mathrm{R} 1 \rightarrow \text { Vértice } \mathrm{C}\end{array}\right] \) Contexto: Este formato de pregunta incluye un enundiado principal y cuatro posibles respuestas, de las cuales ónicarnente una la correcta. Enunciado: ¿Cuál es la ecuación normal del plano que contiene los puntos \( P(2,1,-3), Q(-6,6,3) \) y \( R(-4,6 \), ? Seleccione una: \( 5 x-12 y+15 z+36=0 \) \( 6 x-12 y+16 z+30=0 \) \( 5 x-5 y+8 z+24=0 \) \( 5 x-12 y+16 z+36=0 \) 16. If a circle has a circumference of \( 6 x \), and an arc in that circle has a length of \( x \), what is the angle measure of the associated sector? 15. Multi-Step The vertices of a square \( K L M N \) are \( K(0,1), L(4,-2), M(1,-6) \) and \( N(-3,-3) \). Show that the diagonals are congruent perpendicular bisectors of each other. correcta. Enunciado: En la forma general, la ecuación del plano que contiene los puntos \( P(-3,1,2), Q(4,-6,5), R(1,3,-5) \) es. Seleccione una: \( \begin{array}{l}42 x+61 y+42 z-16=0 \\ 43 x+41 y+61 z-16=0 \\ 61 x+43 y+42 z-16=0 \\ 43 x+61 y+42 z-16=0\end{array} \) 11.) Find the geometric mean of \( \sqrt{11} \) and \( \sqrt{5} \).
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