The complex solution to a quadratic equation is x equals start fraction three plus or minus square root of negative 36 end square root over six end fraction full stop write this solution in standard form, a + bi, where a and b are real numbers. what are the values of a and b?

Which of the following tables represents exponential functions?

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.

The length of a rectangle plus its width is 24 cm. the area is 143 square cm. what are the length and width of the rectangle?