Which of the following options best describes the solution process and solution(s) for the quadratic equation?
-2x2 + 3x + 4 = 7

1.factoring; two real rational number solutions
2.quadratic formula; two non-real rational solutions
3.factoring or quadratic formula; two real irrational number solutions
4.quadratic formula or completing the square; two real irrational number solutions

The ratio pv to nrt is plotted against pressure for ch4 at 0°c and 200°c. why does the curve for 0°c drop below the horizontal line for an ideal gas whereas the curve for 200°c does not?

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.

Which graph of a hyperbola represents the equation 16x^2-y^2=16