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Home Question Bank Math Archive 2025 January 16

Math Questions from Jan 16,2025

Browse the Math Q&A Archive for Jan 16,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Which equation has the same solution as \( x^{2}+16 x-18=4 \) ? \( \begin{array}{l}\text { Answer } \\ \begin{array}{l}(x-8)^{2}=86 \\ (x-8)^{2}=-42\end{array} \\ \left.(x+8)^{2}=-8\right)^{2}=8\end{array} \) 11. Construct two concentric circles that have a radius of 3 cm and a radius of 4 cm . member r problems \( 12-15 \), solve for \( x \). \( x+2 \frac{4}{5}=66 \) 13. \( -\frac{7}{5}+x=7 \frac{1}{5} \) 14. \( x+\left(-9 \frac{1}{2}\right)=-7 \) 15. \( -25 \frac{2}{3}=x-3 \frac{1}{3} \) HW \( 6-3 D \) Geometry Find the volume of the figure. Use \( \pi \approx 3.14 \). Question 31,9.4.C-3 The volume is approximately \( \square \square \square \) (Round to the nearest whole number as needed.) How many cubic meters of dirt are there in a pile, conical in shape, 10 m in diameter and 6 m high? There are approximately \( \square \) [cubic meters of dirt in the pile. (Round to the nearest tenth as needed.) \begin{tabular}{l}\hline 14. \\ Un triangolo isoscele avente per vertici gli estre- \\ mi di una corda e il centro di una circonferenza, \\ ha l'area di \( 691,20 \mathrm{dm}^{2} \). Sapendo che la di- \\ stanza della corda dal centro misura 36 dm , \\ calcola la lunghezza del raggio della circonfe- \\ renza. \\ \\ {\( [40,8 \mathrm{dm}] \)} \\ \hline\end{tabular} Describe how the graph of the radical function \( f(x) = \sqrt{x} \) changes when transformed to \( g(x) = \sqrt{x - 4} + 2 \). Solve the equation for all values of x by completing the square. Express your answer in simplest for \[ x^{2}+6=10 x \] Factor the expression completely. \[ x^{3} y^{5}-x^{4} y \] How many cubic meters of dirt are there in a pile, conical in shape, 10 m in diameter and 6 m high? There are approximately 0.3 cubic meters of dirt in the pile. (Round to the nearest tenth as needed.) \( 8(5+h+2) \) \( 8(h+\square+2) \) Apply the Commutative Property of Addition and add. \( 8(h+\square) \) \( 8 \cdot h+8 \cdot \square \) Apply the Distributive Property and multiply. \( 8 \cdot h+56 \)
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