Math Questions from Dec 06,2024

Browse the Math Q&A Archive for Dec 06,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Use Cramer's rule to solve the system of equations. If \( D=0 \), use another method to determine the solution set. \[ \begin{aligned}-2 x+5 y & =3 \\ 7 x+6 y & =13\end{aligned} \] Find the value of the determinant. \( \left|\begin{array}{rr}6 & 8 \\ 7 & -7\end{array}\right| \) Write the expression in simplest radical form: \( \sqrt{72}=\square \sqrt{4} \) Which of the following are the coordinates of a rectangle with a length of 5 units and width of 2 units in the coordinate plane? \( \begin{array}{l}O(-2,-4),(-2,-2),(2,-4),(2,-2) \\ (1,4),(-4,4),(1,6),(-4,6) \\ O \\ (-3,-0),(-7,-2),(-3,-2),(-7,0) \\ (6,-3),(1,0),(6,0)\end{array} \) Which of the following is equivalent to \( \tan \left(\frac{5 \pi}{6}\right) \) ? Use the Gauss-Jordan method to solve the system of equations. For infinitely many solutions, give the solution with \( y \) arbitrary. \( \begin{aligned}-25 x-3 y+119 & =0 \\ 10 x+y-48 & =0\end{aligned} \) (9) Al aplicar el teorema de la división \( \frac{7}{3} \div \frac{-2}{5} \) nos queda Identify the true statement. Explain why the statement is true. All isosceles triangles are obtuse triangles. If the base angles each measure less than \( 45^{\circ} \), the vertex angle will measure more than \( 90^{\circ} \). All isosceles triangles are right triangles. The vertensingle in an isosceles triangle can measure \( 90^{\circ} \). All equilateral triangles are obtuse triangles. All angles in an equilateral triangle measure \( 120^{\circ} \). All equilateral triangles are acute triangles. All angles in an equilateral triangle measure \( 60^{\circ} \). The cost of mailing a first-class letter is \( \$ 0.46 \) for the first ounce and \( \$ 0.20 \) for each additional ounce or portion of an ounce. The letter \( y \) represents the total cost for mailing a letter that weighs \( x \) ounces. Which type of function model would be appropriate for this situation? absolute value function step function Systems and Matrices \( 1 \leqslant \quad \begin{array}{c}\text { Use the Gauss-Jordan method to solve the system of equations. For infinitely many solutions, give the solution with } y \text { arbitrary. } 15 \\ -\begin{array}{c}15 x-3 y=-60 \\ 6 x+y=25\end{array} \\ \text { This questio. }\end{array} \)
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