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Home Question Bank Math Geometry Archive 2025 January 18

Geometry Questions from Jan 18,2025

Browse the Geometry Q&A Archive for Jan 18,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Consider the following four points: \( \begin{array}{ll}\text { A }(12,14) & \text { C }(24,-22) \\ \text { B }(16,-25) & \text { D }(18,8) \\ \text { Will the lines } A B \text { and CD intersect } 8 \text { ? } \\ \text { a) yes } \\ \text { b) no }\end{array} \) Determine x if the distance between \( \mathrm{A}(3,0) \) and \( \mathrm{B}(\mathrm{x}, 4) \) is 5 ft . \[ 25=\sqrt{(4-0)^{2}+(x-3)^{2}} \] If a line has a slope of \( -4 \), what is the slope of a line that is perpendicular to it? D. \( x^{2}+y^{2}-6 x+8 y=-21 \) A partir de la ecuación general de una sección cónica dada: 1) Presente el paso a paso para llegar a la ecuación canónica. 2) Determine las coordenadas del centro en caso de que la sección cónica sea una circunferencia o las coordenadas del centro, vértices y focos, en caso de que la sección cónica sea una elipse. 3) Represente en GeoGebra la sección cónica y demuestre que los procesos desarrollados en I) e II) son correctos 254 La base e l'altezza di un triangolo sono una i \( \frac{9}{13} \) dell'altra e la loro differenza misura 12 cm . Calcola l'area. \( \left[526,5 \mathrm{~cm}^{2}\right] \) احسب مسافة النقطة E(6, 8) من النقطة F(0, 0) باستخدام تطبيق نظرية فيثاغورس. Plot the line represented by the equation \( y = 2x - 3 \) on a coordinate plane. В треугольнике со сторонами \( 13,14,15 \) найди длину медианы, проведённой стороне длины 14 . 3 What is the definition of slope in coordinate geometry? What is the definition of slope in coordinate geometry?
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