What we want to achieve in this lesson is to be familiar with the fundamental rules on how to convert or rewrite a conditional statement into its converse, inverse, and contrapositive. But first, we need to review what a conditional statement is because it is the foundation or precursor of the three related sentences that … Read more
A ray is a part of a line that has one endpoint and goes on infinitely in only one direction. Does a ray have 0 endpoints? It has a starting point but has no endpoint. We say a ray has one endpoint and goes without end in one direction. In the figure above, the starts from A … Read more
The volume of a prism is the capacity of the prism. There can be different types of prisms like a triangular prism, square prism, rectangular prism, pentagonal prism, hexagonal prism, or octagonal prism. But the method to write the formula of volume of any prism remains the same immaterial of the type of prism. The … Read more
The vertical angle is formed when two lines meet at a point. They are always equal to each other. When two lines cross or intersect, four angles are formed. We can observe that two angles that are opposite each other are equal, and these angles are called vertical angles. They are also referred to as … Read more
Simplifying expressions means rewriting the same algebraic expression with no like terms and in a compact manner. To simplify expressions, we combine all the like terms and solve all the given brackets, if any. In the simplified expression, we will only be left with unlike terms that cannot be reduced further. Learn more about simplifying … Read more
Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers. For example, the set of numbers x satisfying 0 ≤ x ≤ 5 is an interval … Read more
If an exponent of a number is a fraction, it is called a fractional exponent. Exponents show the number of times a number is replicated in multiplication. For example, 42 = 4×4 = 16. Here, exponent 2 is a whole number. In the number, say x1/y, x is the base and 1/y is the fractional exponent. … Read more
Coordinate planes are two-dimensional planes formed by the intersection of a vertical line known as the y-axis and a horizontal line known as the x-axis. Lines intersecting at zero are called perpendicular lines, and this is the origin. What is a Coordinate Plane? Coordinate planes are two-dimensional surfaces formed by two number lines. It is … Read more
How to find the area of a polygon? The area of a polygon is defined as the area that is enclosed by the boundary of the polygon. In other words, we say that the region that is occupied by any polygon gives its area. In this lesson, we will learn to determine the area of … Read more
Derivative of Arctan: Before going to see what is the derivative of arctan, let us see some facts about arctan. Arctan (or) tan-1 is the inverse function of the tangent function. i.e., If y = tan-1x then tan y = x. Also, we know that if f and f-1 are inverse functions of each other then f(f-1(x)) … Read more