10 引きの計算式
1. Slope-Intercept Form: y = mx + b
The slope-intercept form is one of the most popular forms of linear equations. It is expressed as y = mx + b, where m is the slope and b is the y-intercept.
2. Point-Slope Form: y - y1 = m(x - x1)
The point-slope form is used to find the equation of a line that passes through a specific point (x1, y1) with a slope of m. This form is expressed as y - y1 = m(x - x1).
3. Standard Form: Ax + By = C
The standard form is a more general form of linear equations, expressed as Ax + By = C, where A, B, and C are constants.
4. Quadratic Formula: x = (-b ± √(b² - 4ac)) / 2a
The quadratic formula is a powerful tool for solving quadratic equations of the form ax² + bx + c = 0. It is expressed as x = (-b ± √(b² - 4ac)) / 2a.
5. Exponential Growth Formula: A = P(1 + r/n)^(nt)
The exponential growth formula is used to calculate the future value of an investment or a loan, expressed as A = P(1 + r/n)^(nt), where A is the future value, P is the principal, r is the interest rate, n is the number of times interest is compounded per year, and t is the time in years.
6. Compound Interest Formula: A = P(1 + r)^n
The compound interest formula is used to calculate the future value of an investment or a loan, expressed as A = P(1 + r)^n, where A is the future value, P is the principal, r is the interest rate, and n is the number of years.
7. Slope Formula: m = (y2 - y1) / (x2 - x1)
The slope formula is used to find the slope of a line that passes through two points (x1, y1) and (x2, y2), expressed as m = (y2 - y1) / (x2 - x1).
8. Midpoint Formula: M = ((x1 + x2) / 2, (y1 + y2) / 2)
The midpoint formula is used to find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2), expressed as M = ((x1 + x2) / 2, (y1 + y2) / 2).
9. Distance Formula: d = √((x2 - x1)² + (y2 - y1)²)
The distance formula is used to find the distance between two points (x1, y1) and (x2, y2), expressed as d = √((x2 - x1)² + (y2 - y1)²).
10. Circle Formula: (x - h)² + (y - k)² = r²
The circle formula is used to find the equation of a circle with center (h, k) and radius r, expressed as (x - h)² + (y - k)² = r².
