the united states, shall be admitted into, and entitled to all the advantages of the measures of union: but no other colony shall be admitted into the same, unless such admission be agreed to by nine states." Paraphrase this in your own words.

Evaluate \( 3.7616+15.273 \div(4 \) of \( 3.03-5.17) \times 11.971\left(23-0.112^{2}\right)-313.127 \), and eave your final answer in 3 decimal places.

\( \frac{3}{4} \) hour \( -\frac{1}{2} \) hour \( =\square \) hour

Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form. Passing through \( (8,-3) \) and perpendicular to the line whose equation is \( y=\frac{1}{5} x+4 \) Write an equation for the line in point-slope form. (Simplify your answer. Use integers or fractions for any numbers in the equation.)

are \( 2 \alpha-\beta \) and \( 2 \beta-\alpha \). If the roots of the equation \( a x^{2}+b x+c=0 \) be \( \alpha \) and \( \beta \), find the equation whose roots \( \alpha+\frac{1}{\beta} \) and \( \beta+\frac{1}{\alpha} \).

Divide using synthetic division. \( \frac{x^{5}+5 x^{4}+4 x^{3}+2 x^{2}+6 x-7}{x+4} \) \( \frac{x^{5}+5 x^{4}+4 x^{3}+2 x^{2}+6 x-7}{x+4}=\square \) (Simplify your answer. Use integers or fractions for any numb