Questions in mathematics

Questions in mathematics

📝 Answered - Use DeMoivre's theorem to prove that [tex]\sin \mu \theta=H \cos ^2 \theta \sin \theta-H \cos \theta \sin ^2 \theta[/tex]

📝 Answered - The equation of the line that is perpendicular to $y=4x+5$ and contains the point $(8,-4)$ is $y=-\frac{[?]}{[]} x+[]$

📝 Answered - Is 2 × 10 positive or negative?

📝 Answered - What is the $y$-intercept of the quadratic function $f(x)=(x-6)(x-2)$? A. $(0,-6)$ B. $(0,12)$ C. $(-8,0)$ D. $(2,0)$

📝 Answered - Select the perfect square trinomial from among the options below. A) [tex]x^2-12 x+36[/tex] B) [tex]x^2+4 x-4[/tex] C) [tex]x^2-2 x-3[/tex] D) [tex]x^2+10 x+20[/tex]

📝 Answered - Solve the differential equation. $\left(\frac{1}{7} \sec x\right) \frac{d y}{d x}=2 e^{y+3 \sin x}$ The solution is given by the equation $\square$ . (Type an equation. Type an exact answer.)

📝 Answered - Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem? A. $(16,+\infty)$ B. $(-16,+\infty)$ C. $(-\infty, 16)$ D. $(-\infty,-18)$

📝 Answered - Solve the equation. Express numbers as integers or decimals. [tex]5.2 n+2.1=-3.1[/tex]

📝 Answered - A quadrilateral has vertices $E(-4,2), F(4,7), G(8,1)$, and $H(0,-4)$. Which statements are true? Check all that apply. A. The slope of $\overline{EH}$ is $-\frac{8}{5}$. B. The slopes of $\overline{EF}$ and $\overline{GH}$ are both $\frac{5}{8}$. C. $\overline{FG}$ is perpendicular to $\overline{GH}$. D. Quadrilateral EFGH is a parallelogram because both pairs of opposite sides are parallel. E. Quadrilateral EFGH is a rectangle because all angles are right angles.

📝 Answered - 已知 $|a|=5,|b|=3$，且 $\mid a-$ $b \mid=b-a$，则 $a+b=$