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Questions in mathematics

[Done] Find the slope of the line whose equation is $6x - 3y = 12$.

[Done] $\sqrt{\frac{625^{-50}}{5^{-10}}}$

[Done] What is the radius of a circle whose equation is $x^2+y^2+8 x-6 y+21=0$?

[Done] If the parabola of the form [tex]y=a(x-h)^2+k[/tex] is always shifted horizontally [tex]h[/tex] units and vertically [tex]k[/tex] units, then its vertex is always [tex](-h,-k)[/tex] [tex](h, k)[/tex] [tex](-h, k)[/tex] [tex](h,-k)[/tex]

[Done] Solve the following system of equations graphically: [tex] \begin{array}{c} y=-\frac{1}{2} x+2 \\ x-y=4 \end{array} [/tex]

[Done] Write the fraction in lowest terms. $\frac{8}{12}$

[Done] Which statement could be used to explain why the function [tex]h(x)=x^3[/tex] has an inverse relation that is also a function? A. The graph of [tex]h(x)[/tex] passes the vertical line test. B. The graph of the inverse of [tex]h(x)[/tex] is a vertical line. C. The graph of the inverse of [tex]h(x)[/tex] passes the horizontal line test. D. The graph of [tex]h(x)[/tex] passes the horizontal line test.

[Done] Simplify the expression. [tex]$\frac{x^{-\frac{1}{2}}}{x^{-\frac{1}{4}}}$[/tex] Write your answer using only positive exponents. Assume that all variables are positive real numbers.

[Done] A new operation is defined as: a ⊙ b = 6a - 3b. Find the value of x in (5 ⊙ x) ⊙ 20 = 66. (A) 3 (B) 4 (C) 5 (D) 6 (E) 7

[Done] Try these. Remember to solve the calculation on each side of the box before you choose the symbol. 3 + 5 [] 4 + 6 7 + 8 [] 9 + 3 4 + 3 [] 4 x 3 21 + 5 [] 20 + 6 30 + 40 [] 20 + 60 5 + 5 + 5 [] 5 x 3