Math Formulas and Equations

Flashcards for math formulas and equations.

Distance Formula

√((x₂ - x₁)² + (y₂ - y₁)²)

Midpoint Formula

((x₁ + x₂)/2, (y₁ + y₂)/2)

Circle Equation

(x - h)² + (y - k)² = r² where (h, k) is the center and r is the radius.

Slope Formula

(y₂ - y₁)/(x₂ - x₁)

Surface Area of Rectangular Prism

2lw + 2lh + 2wh

Point-Slope Form

y - y₁ = m(x - x₁)

Quadratic Formula

x = (-b ± √(b² - 4ac)) / (2a)

Discriminant

√(b² - 4ac). >0 → two solutions; = 0 → one solution; < 0 → no real solution

Vertex Form of a Parabola

y = a(x - h)² + k where Vertex = (h, k) and (a) controls direction (up/down) and width

Exponential Growth/Decay

y = a(1 ± r)^t where a = starting value, r = rate (as decimal), t = time, +r = growth, -r = decay. it is a(1 ± r/n)^tn when it happens multiple times in a year; n = number of times per year

Parabola vertex form

y= a(x-h)²+k; (h,k = vertex)