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Questions in mathematics

[Answered] Replace the values of [tex]$m$[tex] and [tex]$n$[tex] to show the solutions of this equation. [tex]$x^2+6 x-5=0$[tex] [tex]$x=m \pm n$[tex]

[Answered] Which of the following is the best estimate of $\sqrt{90}$? A. 9.1 B. 9.4 C. 9.7 D. 9.9

[Answered] Solve the inequality. Express your answer using set notation and interval notation. [tex]$\frac{1}{2}(x-5)>x+6$[/tex] The solution is expressed in set notation as [tex]$\lbrace x \mid$[/tex] [$\square$] [tex]$\rbrace$[/tex]. The solution is expressed in interval notation as [$\square$].

[Answered] What is the equation of the line that passes through the point $(6,2)$ and has a slope of $-\frac{1}{2}$?

[Answered] A square with side lengths of 4 units is translated on the coordinate plane. One vertex of the image is at (2, 1). Which ordered pair could represent another vertex of the image? (0,-1) (2,6) (4,0) (6,1)

[Answered] Plot, compare, and order the numbers and values of [tex]$y$[/tex]: [tex]$2 \sqrt{11},-2.5,3 \frac{1}{6}, \pi-3, \sqrt{37}$[/tex]

[Answered] $(4 x^2+6 x-10)-(2 x^3-8 x^2-4)

[Answered] Determine the input that would give an output value of [tex]$\frac{2}{3}$[/tex]. [tex]$\begin{array}{l} \frac{2}{3}=-\frac{1}{3} x+7 \\ -\frac{19}{3}=-\frac{1}{3} x \end{array}$[/tex]

[Answered] Find the distance between each pair of points. 2. $(-6,-5)$ and $(2,0)$

[Answered] Find the value of $c$ and $YZ$ if $Y$ is between $X$ and $Z$. $XY = 11, YZ = 4c, XZ = 83$ $c = \square$ $YZ = \square$