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Brian McLogan
Algebra 2 - Dividing complex numbers by multiplying by i, (8-6i) / 3i
In this video tutorial I show you how to divide complex numbers. Since complex numbers have an imaginary part which we cannot divide into other numbers we rewrite the expression by multiplying by i or the conjugate on the denominator or...
Curated Video
GCSE Secondary Maths Age 13-17 - Shapes & Area: Trapezium/Circle Area - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow...
ATHS Engineering
Introduction to Motion in Two Dimensions
This video explains how to understand motion in 2D by focusing on one dimension at a time and making assumptions about gravity and acceleration. The video also covers how to calculate the trajectory of a projectile, including the X and Y...
Brian McLogan
Learn how to write the equation of a circle given a point and the center
Learn how to write the equation of a circle. A circle is a closed shape such that all points are equidistance (equal distance) from a fixed point. The fixed point is called the center of the circle while the distance between any point of...
Brian McLogan
How to find the diameter of a circle when given the area
π Learn how to find the area and perimeter of a parallelogram. A parallelogram is a quadrilateral with two pairs of parallel sides. The area of a shape is the measure of the portion enclosed by the shape while the perimeter of a shape is...
Brian McLogan
Given the area of a circle find the radius
π Learn how to find the area and perimeter of a parallelogram. A parallelogram is a quadrilateral with two pairs of parallel sides. The area of a shape is the measure of the portion enclosed by the shape while the perimeter of a shape is...
Brian McLogan
Writing the equation of an ellipse given the foci and a vertex
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...
Brian McLogan
Learn how to write the equation of an ellipse when given the foci & 2 y intercepts
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...
Brian McLogan
How to write the formula for a parabola given the focus and vertex and the origin
Learn how to write the equation of a parabola given the vertex and the focus. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared). Recall...
Brian McLogan
Graph a parabola with a vertical axis of symmetry and identify the focus & directrix
Learn how to graph a parabola in standard form when the vertex is not at the origin. We will learn how to graph parabola's with horizontal and vertical openings. In addition to graphing you will also learn how to identify the important...
Brian McLogan
Verify an identity by converting to a monomial denominator
π Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the term(s) on the left hand side of the equality sign is equal to the term(s) on the right hand side. To...
Brian McLogan
Find the value of the integral with e
π Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Brian McLogan
Convert equation of circle in rectangular form to polar form
Convert equation of circle in rectangular form to polar form
Brian McLogan
How To Multiply Polynomials Using Area of a Rectangle - Math Tutorial
π Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the...
Brian McLogan
How to subtract two trinomials polynomials
π Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you...
Brian McLogan
How to evaluate the square root of a perfect square number
π Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to...
Brian McLogan
Combining rational expression with unlike denominators
π Learn how to add and subtract rational expressions by applying the rules of exponents. When adding and subtracting rational expressions we need to have common denominators. To obtain common denominators we will need to multiply the...
Brian McLogan
Solving a quadratic with no solution by square root method
πLearn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
Solving a quadratic equation by the square root method
πLearn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
Graphing a quadratic function in standard form
π Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Brian McLogan
Solving by completing the square and factoring out a two
π Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Brian McLogan
Find the perimeter of a triangle on a coordinate plane | Geometry
πIn this video I will show you how to find the perimeter of a triangle using the distance formula given three points on a coordinate plane.
Brian McLogan
What is the alternate in sign sequence
π Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric...
Brian McLogan
Using binomial expansion to expand a binomial to the sixth power
π Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion...