Input Method: Slope-Intercept Form (y = mx + b) Standard Form (Ax + By = C) Two Points per Line Line 1: y = m₁x + b₁ Slope (m₁): Y-intercept (b₁): Line 2: y = m₂x + b₂ Slope (m₂): Y-intercept (b₂): Line 1: A₁x + B₁y = C₁ Coefficient A₁: Coefficient B₁: Constant C₁:…
Original Value: New Value: Or calculate using percentage: Base Value: Percent Decrease (%): Calculate Reset Percent Decrease: % Copy Absolute Change: Copy Final Value (when using percentage): Copy Decrease Ratio: Copy Percent Decrease Formula Percent Decrease = ((Original Value – New Value) / Original Value) × 100% New Value = Original Value × (1 –…
Enter 2×2 Matrix [ ] Calculate Determinant Reset Determinant: Copy Matrix Properties: Copy Geometric Interpretation: Copy 2×2 Matrix Determinant Formula For matrix A = [a b; c d] det(A) = ad – bc Also written as |A| or det(A) Quick Examples [1 0; 0 1] det = 1 [2 3; 1 4] det = 5…
Matrix inversion is a fundamental operation in mathematics, engineering, computer science, and physics. A 2×2 matrix can be inverted quickly if it has a non-zero determinant. The formula for the inverse of a 2×2 matrix: A=[abcd],A−1=1ad−bc[d−b−ca]A = \begin{bmatrix} a & b \\ c & d \end{bmatrix}, \quad A^{-1} = \frac{1}{ad – bc} \begin{bmatrix} d &…
Cosine Value: Enter a value between -1 and 1 Output Unit: Degrees (°) Radians (rad) Both Calculate Reset Angle in Degrees: ° Copy Angle in Radians: rad Copy Exact Value (if applicable): Copy Common Inverse Cosine Values cos⁻¹(1) 0° cos⁻¹(√3/2) 30° cos⁻¹(√2/2) 45° cos⁻¹(1/2) 60° cos⁻¹(0) 90° cos⁻¹(-1/2) 120° cos⁻¹(-√2/2) 135° cos⁻¹(-1) 180° Step-by-step calculation:…
Side A: Side B: Side C: Calculate Reset Triangle Area: Copy Perimeter: Copy Semi-perimeter (s): Copy Triangle Validity: Copy Heron’s Formula Area = √[s(s-a)(s-b)(s-c)] Where s = (a + b + c) / 2 Step-by-step calculation: Calculating the area of a triangle when only the side lengths are known can be tricky. Heron’s Formula provides…
Process Data (comma separated values): Lower Specification Limit (LSL): Upper Specification Limit (USL): Target Value (optional): If not specified, midpoint of LSL and USL will be used Calculate Reset CPK Value: Copy CP Value: Copy Process Statistics: Copy Interpretation: Copy CPK Reference Guide CPK ≥ 2.0 Excellent 1.67 ≤ CPK < 2.0 Good 1.33 ≤...
In geometry and engineering, the centroid represents the center of mass of a shape or object. It is the point where a shape would balance perfectly if it were made of a uniform material. Finding the centroid manually, especially for complex shapes, can be time-consuming and prone to errors. The Centroid Calculator simplifies this process,…
Enter Percentages: % × % × Add Another Percentage Calculation Method: Simple Average (Equal Weight) Weighted Average Calculate Reset Average Percentage: % Copy As Decimal: Copy Summary Statistics: Copy Step-by-step calculation: Calculating the average of percentages is a common task in academics, business, and data analysis. Whether you’re determining test scores, employee performance, financial returns,…
BPS Calculator Basis Points (BPS): Principal Amount: $ Calculate Reset Percentage: Copy Decimal: Copy Monetary Value: $ Copy Quick Conversions 1 BPS = 0.01% 10 BPS = 0.1% 100 BPS = 1% 1000 BPS = 10% Step-by-step calculation: In finance, understanding Basis Points (BPS) is crucial for evaluating interest rates, investment returns, bond yields, and…