Questions in mathematics

Questions in mathematics

📝 Answered - Write and evaluate the expression. Then, select the correct answer. The sum of forty-five and a number; evaluate when [tex]$n=1.1$[/tex] A. [tex]$45 n$[/tex]; when [tex]$n=1.1$[/tex], the value is 49.5. B. [tex]$45+n$[/tex]; when [tex]$n=1.1$[/tex], the value is 46.1. C. [tex]$45-n$[/tex]; when [tex]$n=1.1$[/tex], the value is 43.9. D. [tex]$\frac{n}{45}$[/tex]; when [tex]$n=1.1$[/tex], the value is 0.024.

📝 Answered - Bob is standing 25 feet from a lamppost that is to his left and 30 feet from a lamppost that is to his right. The distance between the two lampposts is 20 feet. What is the measure of the angle formed from the line from each lamppost to Bob? Approximate to the nearest degree. [tex] \begin{array}{c} 20^2=25^2+30^2-2(25)(30) \cos (A) \\ 400=625+900-(1500) \cos (A) \\ 3400=1525-(1500) \cos (A) \\ 4.1125=-(1500) \cos (A) \\ \text { degrees } \end{array} [/tex]

📝 Answered - What is the slope of the line represented by the equation $3x + 4y = 8$?

📝 Answered - $2x+y=8$ and $x-y=1$

📝 Answered - Which is the ordered pair for the point on the $x$-axis that is on the line parallel to the given line and through the given point $(-6,10)$? A. $(6,0)$ B. $(0,6)$ C. $(-5,0)$ D. $(0,-5)$

📝 Answered - Find the equation of the line passing through the points $(1,-5)$ and $(9,11)$. $y=[?] x+[]$

📝 Answered - Find the limit if it exists. $\lim _{x \rightarrow 9} 6(x-8)^{\frac{1}{x-9}}$

📝 Answered - The center of a hyperbola is located at the origin. One focus is located at $(-50,0)$ and its associated directrix is represented by the line [tex]x=\frac{2,304}{50}[/tex]. What is the equation of the hyperbola?

📝 Answered - Write the equation of a line that passes through the points shown in the table. x -10 -4 8 14 Which equations represent a line that passes through the points given in the table? Check all that apply. y-2=-6(x+10) y-2=-\frac{1}{6}(x+10) y-1=-\frac{1}{6}(x+4) y=-6 x-58 y=-\frac{1}{6} x+\frac{1}{3} y=-\frac{1}{6} x+5

📝 Answered - Consider the equations and inequalities below: [tex]\begin{array}{l}< \left(E_1\right):-2(x+3)=x+6 \\ \left(E_2\right): 2 x-\frac{3}{2}=\frac{7}{9} \\ \left(I_1\right): 5 x+3 \textless 10 \\ \left(I_2\right):-3 x+4 \textgreater -5 x+6 \end{array}[/tex] 1) Solve in [tex]$Q$[/tex] the equations [tex]$\left(E_1\right)$[/tex] and [tex]$\left(E_2\right)$[/tex] 2) Solve in [tex]$Q$[/tex] the inequalities ([tex]$I_1$[/tex] ) and ( [tex]$I_2$[/tex] ) 3) Find for each inequality [tex]$\left(I_1\right)$[/tex] and [tex]$\left(I_2\right)$[/tex] three integer solutions