Math 2 review
Equation of a Circle
(x-h)²+(y-k)²=r² Center (h, k) r = radius
Domain
All of the input or x values in a function
Range
All of the output or y values in a function
Midpoint Formula
a point that divides a segment into two congruent segment
Cosine Ratio
adjacent/hypotenuse
Pythagorean Theorem
a²+b²=c² Where c is the hypotenuse
Difference of Cubes
a³ - b³ = (a-b)(a² + ab + b²)
Sum of Cubes
a³+b³=(a+b)(a²-ab+b²)
Difference of Squares
x² - y² = (x + y)(x - y)
Sine Graph
y = sin*theta
Tangent Ratio
opposite / adjacent
Dependent Event Formula
P (A U B) = P(A) + P(B)
Independent Event Formula
P (A and B) = P(A) * P(B)
Ways to find Roots/Zeros of a Quadratic Function
1. Square Roots 2. Quadratic Formula 3. Factor 4. Graph
Sum of the Angles in a Triangle
180 Degrees
Area of a Triangle (given SAS)
A = (1/2) bc* Sin A A = (1/2)* side 1 * side 2 * Sine (inc angle)
Distance Formula
A formula for computing the distance between two points in a coordinate plane.
Rational Exponents
A fractional exponent
Midsegment of a Triangle
A line segment that connects the midpoints of two sides of a triangle Midsegment = 1/2 (base) Midsegment is parallel to the base of the triangle
Permutation
An arrangement of objects in which order is important
Combination
An arrangement of objects in which order is not important
Overlapping Events
P(A U B) = P(A) + P(B) - P(A AND B)
Conditional Probability
P(B | A) = P(B and A) / P(A) The probability of a particular event occurring, given that another event has occurred.
Sine Ratio
Opposite/Hypotenuse
180 Degree Rotation
Original (x, y) (-x, -y)
90 Degree Rotation
Original (x, y) (-y, x)
270 Degree Rotation
Original (x, y) (y,-x)
Dependent Events
The outcome of one event does affect the outcome of the second event
Independent Events
The outcome of one event does not affect the outcome of the second event
Types of Rigid Motions
Translation Rotation Reflection