write an algebraic expressions portfolio

Answer 1

1. The area of a rectangle: A = l * w, where A represents the area, l represents the length, and w represents the width.
2. The perimeter of a rectangle: P = 2l + 2w, where P represents the perimeter, l represents the length, and w represents the width.
3. The volume of a rectangular prism: V = l * w * h, where V represents the volume, l represents the length, w represents the width, and h represents the height.
4. The area of a triangle: A = 1/2 * b * h, where A represents the area, b represents the base, and h represents the height.
5. The circumference of a circle: C = 2 * π * r, where C represents the circumference, π represents the mathematical constant pi, and r represents the radius.
6. The area of a circle: A = π * r^2, where A represents the area, π represents the mathematical constant pi, and r represents the radius.
7. The slope of a straight line: m = (y2 - y1) / (x2 - x1), where m represents the slope, (x1, y1) and (x2, y2) represent two points on the line.
8. The equation of a straight line: y = mx + b, where y represents the y-coordinate, x represents the x-coordinate, m represents the slope, and b represents the y-intercept.
9. The quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a), where x represents the solutions, a, b, and c represent the coefficients of the quadratic equation ax^2 + bx + c = 0.
10. The sum of an arithmetic sequence: S = (n/2) * (a1 + an), where S represents the sum, n represents the number of terms, a1 represents the first term, and an represents the last term.