Directly and Inversely Proportional

Directly Proportional Directly proportional: when one amount increases, another amount increases at the same rate. The symbol for “directly proportional” is ∝ Inversely Proportional Inversely Proportional: when one value increases, at the same rate that the other decreases. Examples   Directly Proportional Inversely Proportional Have more workers You pay more Work time is shorter How

Irregular Polygon

Regular polygon is a polygon that has all angles equal and all sides equal. So, regular polygon has a = b = c = d = e, and ∠v = ∠w =∠x = ∠y = ∠z Definition of Irregular Polygon Irregular polygon is a polygon that does not have all sides equal and all angles

Decimals, Fractions, and Percentages

Definition Decimals, Fractions & Percentages are different ways of showing value Examples Percent Decimal Fraction 1% 0.01 1/100 5% 0.05 5/100 10% 0.1 10/100 25% 0.25 25/100 50% 0.5 50/100 75% 0.75 75/100 100% 1 100/100 125% 1.25 125/100 150% 1.5 150/100 200% 2 200/100 Conversions Base Form Decimals Fractions Percentages Decimals – 1) multiply

Angles of Elevation & Depression

Angles of Elevation Angle of elevation is the angle from the horizontal upward to an object. An observer’s line of sight would be above horizontal line. The angle of elevation is angle formed by a horizontal line & line of sight up to an object when the object is above the line. When you see

Set-Builder Notation

A Set is a collection of things (often numbers). Example: {2, 3, 5} is a set. Here is a simple example of set-builder notation: General Form: {formula for elements: restrictions} or {formula for elements| restrictions} Show the Type of Number You can show what type of number x is. Number Types Symbols Details N Natural Numbers

Translation

Definition Translation means Moving without rotating, resizing or anything else, just moving. To Translate a shape Every point of the shape must move: the same distance in the same direction. Learn More Angles Acute Angles Obtuse Angles Supplementary Angles Geometry Index

Acute Angles

An Acute Angle is less than 90° More Examples of Acute angles Which Angle? Remember to look carefully at which angle you are being asked to name. The acute angle is the small angle which is less than 90°. The larger angle you will have a Reflex Angle (more than 180° but less than 360°)

Differentiable

Definition of Differentiable Differentiable means:  the function has derivative the derivative f’(x) must exist for every value in the function’s domain Examples The use of differentiable function When a function is differentiable, we can use all the power of calculus when working with it. When a function is differentiable, it is continuous. Differentiable ⇒ Continuous

Polynomials: Multiplying, Dividing, Examples

Polynomials is not only can be operated by addition and subtraction but also multiplication and division. Multiplying polynomials Multiplying polynomial is like simple algebra operation. It can be multiplied by a constant or another polynomial. 1. Multiplying by a constant (a term) Multiplying polynomial with a constant or a term has same method. It is

Intervals

Definition In mathematics, interval is a set of real numbers with the property that any number that lies between 2 numbers in the set is also included in the set. For example, the set of all numbers x satisfying 3 ≤ x ≤ 5 is an interval which contains 3, 5, and all numbers between them. Interval: all