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Questions in mathematics
[Jawaban] Find the value of [tex]$x$[/tex] if [tex]$\tan 20^{\circ}=\cot (x+30)^{\circ}$[/tex]
[Jawaban] Simplify: [tex]\begin{array}{l} \frac{6 m}{m-3}+\frac{m}{m+1} \\ \frac{[?] m^2+\quad m}{(m-3)(m+\quad)} \end{array}[/tex]
[Jawaban] 1. ) [tex]$6 x+5=18-7 x$[/tex] 2. ) [tex]$6+8 x=3 x+6 x$[/tex] 3. ) [tex]$7 x+2=4 x-7$[/tex]
[Jawaban] Using the quadratic formula to solve $7 x^2-x=7$, what are the values of $x$? A. $\frac{1 \pm \sqrt{195} i}{14}$ B. $\frac{1 \pm \sqrt{197}}{14}$ C. $\frac{1 \pm \sqrt{195}}{14}$ D. $\frac{1 \pm \sqrt{197} i}{14}$
[Jawaban] What are the foci of the graph $\frac{x^2}{36}-\frac{y^2}{16}=1$? A. $(0, \pm 7.2)$ B. $( \pm 7.2,0 )$ C. $( \pm 4.5,0 )$ D. $(0, \pm 4.5)$
[Jawaban] Three out of seven students in the cafeteria line are chosen to answer survey questions. How many different combinations of three students are possible? ${ }_x c_3=\frac{71}{(7-3) 31}$ What is the answer? A. 7 B. 35 C. 70 D. 210
[Jawaban] The oblique pyramid has a square base with an edge length of 5 cm. The height of the pyramid is 7 cm. What is the volume of the pyramid? A. $11 \frac{2}{3} cm^3$ B. $43 \frac{3}{4} cm^3$ C. $58 \frac{1}{3} cm^3$ D. $87 \frac{1}{2} cm^3
[Jawaban] What is the value of $a$ in the equation $5 a-10 b=45$, when $b=3$?
[Jawaban] For which value of $a$ are the graphs of $-4=3 x+6 y$ and $a x-8 y=12$ parallel?
[Jawaban] Perform the indicated operations, and write the result in the form $a+b i$. (Simplify your answers completely.) $(\sqrt{2}-\sqrt{-2})(\sqrt{32}+\sqrt{-2})$
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