a, b, c's
slope
logarithms
formulas
100
a2 +b2 =c2
Pythagorean Theorem
100
y = mx + b
Slope Intercept Form: "y" represents the y-coordinate, "m" represents the slope, "x" represents the x-coordinate, and "b" represents the y-intercept of a line.
100
y= bx , then write logb y=x
Logarithm: the exponent or power to which a base must be raised to yield a given number.
100
logbM = logM/logb
Change of Base: In this formula, a and b are the bases of the logarithms, and c is the argument.
200
a2 -b2 =(a+b)(a-b)
Difference of Squares
200
m = y2-y3 / x2-x3
Slope: slope or gradient of a line is a number that describes the direction of the line on a plane. Often denoted by the letter m
200
y=e2 , then loge y=x,
written as Iny=x
Natural Logarithmic Function
200
A = Pepi
Continuous Compound Interest Formula
you have discovered e! which is 2.718...
e is the maximum gain that you can squeeze out of the compounding process
e is the gain from continuous compounding
300
a2+2ab+b2
a2 -2ab +b2
Factoring Perfect Square Trinomials
300
y-y₁=m(x-x₁)
Point Slope Form: for linear equations. It emphasizes the slope of the line and a point on the line (that is NOT the y-intercept)
300
E = mc2
Theory of Relativity
Energy equals mass times the speed of light squared.
300
x=(-b±√(b²-4ac))/(2a)
Quadratic Formula: factorization, completing the square, quadratic formula, and graphing.
These are the four general methods by which we can solve a quadratic equation.
400
a3 + b3 = (a + b)(a2 - ab + b2)
a3 - b3 = (a - b)(a2 + ab + b2)
Sum and Difference of Cubes
400
axis of symmetry is x=−b/2a
Parabola:
- The axis of symmetry is a vertical line that divides a parabola into two equal halves
- The axis of symmetry always passes through the vertex of the parabola
400
A = 𝜋r2
Area of a Circle
Area = 3.14 x radius2
400
Distance Formula: the distance between two points on a 2D coordinate plane can be found using the following distance formula
500
Mid Point Formula : used to find the exact center point of a line segment, meaning the point that is located halfway between two given points on a coordinate plane
500
M = D x V
M= F / A
Mass Formula
Mass = Density × Volume
Mass = Force ÷ Acceleration
500
3.141592653589793238462643383279502884197
Pi : an irrational number Pi is an irrational number.
Its decimal representation goes on forever, without repeating