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