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Home Question Bank Math Geometry Archive 2024 November 10

Geometry Questions from Nov 10,2024

Browse the Geometry Q&A Archive for Nov 10,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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The initial and terminal points of a vector are given. Write the vector as a linear combination of the standard unit vectors \( \mathbf{i} \) and \( \mathbf{j} \). \[ \begin{array}{l}\text { Initial Point Terminal Point } \\ (-3,5)\end{array} \] \( (11 \mathbf{i},-6)-11 \mathbf{j}) \) 2) Encuentra La ecuación de la circunferencia en forma ordinaria y general que tiene centro en \( C(2,2) \) y pasa por el punto \( A(10.12) \) Th the trangle \( A B C, A B=x \mathrm{~cm}, B C=(x+2) \mathrm{cm}, A C=5 c \) and \( \angle A B C=60^{\circ} \) Find the Value of \( x \). 1) Encuentra la ecuación de la circunferencia ordinaria y General con centro en \( C(3,-6) \) y que tiene como radio 12 unidades The hypotenuse of a right triangle is 5 feet long. One leg is 3 feet longer than the other. Find the lengths of the legs. Round to the nearest tenth of a foot. The length of the shorter leg is \( \square \mathrm{ft} \), and the length of the longer leg is \( \square \mathrm{ft} \). (Do not round until the final answer. Then round to the nearest tenth as needed.) The hypotenuse of a right triangle is 7 feet long. One leg is 3 feet longer than the other. Find the lengths of the legs. Round to the nearest tenth of a foot. The length of the shorter leg is \( \square \mathrm{ft} \), and the length of the longer leg is \( \square \mathrm{ft} \). (Do not round until the final answer. Then round to the nearest tenth as needed.) The shaded area of the figure may be found by subtracting the area of the unshaded portion from the total area of the figure. Use this approach to find the area of the shaded region. Use 3.14 as an approximation for \( \pi \). The area of the shaded region is approximately (Simplify your answer. Round to the nearest hundredth as needed) The shaded area of the figure may be found by subtracting the area of the unshaded portion from the total area of the figure. Use this approach to find the area of the shaded region. Use 3.14 as an approximation for \( \pi \). 2. El vértice y parámetro de la ecuación de la parábola \( x^{2}=-16 \) y respectivamente es: A. \( V(1,16) \) y \( P=16 \quad X^{2}=4 P y=x^{2}=-\frac{16}{4} \) B. \( V(0,0) y P=-4 \) C. \( V(0,0) y P=4 \) D. \( V(16,1) y P=-16 \) Consider the line \( 5 x-3 y=8 \). What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line?
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