Select all of the situations that could be modeled by a linear equation. a: the barton family is driving at a rate of 62 miles per hour. b: mr. dominguez invested $1000. this money is growing at a rate of 4% per year. c: a tree was 10 feet tall when purchased. it is growing at a rate of 2 feet per year. d: time dropped a coin off a bridge. it is falling at a rate of 9.8 meters per second squared. e: the amount of people in a stadium is decreasing at a rate of 45% every 10 minutes.

What can each term of the equation be multiplied by to eliminate the fractions before solving? x – + 2x = + x 2 6 10 12

Which steps could be part of the process in algebraically solving the system of equations, y+5x=x^2+10 and y=4x-10

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.