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Questions in mathematics

[Done] Which is the expression in exponential form? [tex]$6^{-a}$[/tex] [tex]$6 a$[/tex] [tex]$a^{-6}$[/tex] [tex]$6 a^{-1}$[/tex]

[Done] Solve for $y$. $ \begin{array}{l} y+4=-2(x-5) \\ y=[?] x+\square \end{array} $

[Done] What is the value of $x$ in the equation $3x - 4y = 65$, when $y = 4$? A. $x=13 \frac{1}{4}$ B. $x=21 \frac{2}{3}$ C. $x=23$ D. $x=27

[Done] Select the correct answer. What is the simplest form of this expression? [tex]$\frac{x-3}{x-1}+\frac{6}{x-3}$[/tex] A. [tex]$\frac{x+3}{(x-1)(x-3)}$[/tex] B. [tex]$\frac{x^2-6 x+3}{(x-1)(x-3)}$[/tex] C. [tex]$\frac{x^2+3}{(x-1)(x-3)}$[/tex] D. [tex]$\frac{x^2+12 x+15}{(x-1)(x-3)}$[/tex]

[Done] Perform the indicated operations, and write the result in the form $a+b i$. (Simplify your answers completely.) $(4-3 i)(5+4 i)$

[Done] Simplify $\sqrt{\frac{4}{49}}$.

[Done] What do we do when we decompose a rectangle or a square? Can we decompose a rectangle or square into rectangles, squares, and triangles? What do we do when we compose a rectangle or a square? Can we put together rectangles, squares, and triangles to form a rectangle or a square?

[Done] Solve sin 12° · sin 48° · sin 54°

[Done] | Number | Rational or Irrational? | |---|---| | \(\sqrt{3}\) | Irrational | | 78.12566 | Rational | | \(\sqrt{25}\) | Rational | | \(\sqrt{5}\) | Rational | | \(-\sqrt{16}\) | Irrational | | \(\sqrt{18}\) | Irrational | | \(-\frac{5}{3}\) | Rational | | 4.17 | Rational | | \(2\pi\) | Irrational | | 3.89 | Rational | | \(\sqrt{111}\) | Irrational | | \(4\pi\) | Irrational | | \(9\pi\) | Irrational | | 72 | Rational | | \(\frac{2\pi}{3}\) | Irrational |

[Done] Graph the function. [tex]$h(x)=-\frac{1}{5} x^2+2 x$[/tex]