In this video, the teacher explains how to find missing angle measurements within a circle using the intersecting chord theorem. They discuss the central angle theorem, the exterior angle theorem, and the difference between arc measure...

An introduction to integration by trigonometric substitution.

Introducing electrophilic aromatic substitution.

In this course we've come across some surprising structures, but benzyne is one of the most surprising. It would seem impossible that a triple bond could form on a benzene ring, and in truth it can't fully form, but benzyne is a molecule...

👉Learn how to solve a system of linear equations from a word problem. A system of equations is a set of more than one equations which are to be solved simultaneously. A word problem is a real world simulation of a mathematical concept....

An introduction to the substitution rule for integration.

In this video we’re going to look at how to simplify algebraic expressions. Before we get started on simplifying, a few things to remember: (1) we always use a use a curly x for the letter x in algebra. (2) We don’t really use the...

A discussion of ortho/para directing and meta directing behavior amongst substituted benzenes.

In this video, the teacher explains how to calculate the surface area of a rectangular prism by analyzing its six faces and computing their areas. The teacher demonstrates the process using examples of different rectangular prisms,...

Learn how to find an exact solution to a system of equations using substitution. The process is demonstrated step by step and to illustrate the concept thoroughly. Understand how to substitute one equation into another and solve for the...

In this lesson, students will learn how to solve systems of equations using the elimination method when opposite coefficients are present. The video explains the concept of opposite coefficients and how they allow us to cancel out...

In this video, the teacher explains how to find number pairs that satisfy an equation in two variables. They demonstrate the process of substitution and provide examples of solving equations to find the corresponding values for x and y.

In this video, the teacher explains how to solve systems of linear equations using substitution. They provide examples and walk through the steps of substituting variables to find the solution. The video also emphasizes the importance of...

Learn how to choose between elimination and substitution methods to solve a system of equations. This video provides examples and discusses the advantages and disadvantages of each method. The goal is to help students understand when to...

In this video, the teacher explains how inequalities can have more than one solution by using a number line. They provide examples and guide the viewer through the process of determining which solutions satisfy the given inequality.

In this lesson, students will learn how to solve a system of linear equations by substitution. They will understand how to replace one variable with another in order to simplify the equations and find the values of the variables.

In this video, mathematicians learn how to solve systems of two linear equations using the substitution method. The instructor explains the concept using real-life examples, such as ticket prices and fruit costs. By substituting values...

In this lesson, students will learn how to solve systems of equations algebraically by substitution. The video explains the concept of substitution and demonstrates how to substitute values into equations to find the solutions.

In this lesson, students learn how to solve simple equations using the concept of balance. By using a balance scale analogy, they understand the importance of adding the same value to both sides of the equation to maintain balance.

This video teaches how to write and evaluate algebraic expressions for formulas that contain variables. It uses examples, such as finding the perimeter and area of a square with sides of 2 times x, and calculating speed using the formula...

The European Commission plans to support water treatment to eliminate forever chemicals (PFAS), according to the European Water Resilience Strategy, adopted in Brussels on Wednesday.

Christine Sinclair was substituted off in her final game with the NWSL's Portland Thorns Sunday as they fell 2-1 to Gotham FC.

Metals such as aluminum, zinc and copper are hitting new highs as the energy crisis is crimping supplies and closing smelters and factories. S&P Dow Jones Indices Head of Commodities Fiona Boal is on "Bloomberg Markets: European Close."...

May.27 -- Freeport-McMoRan Chairman and CEO Richard Adkerson discusses the outlook for the copper market, input costs and supply challenges with Bloomberg's Guy Johnson and Alix Steel on "Bloomberg Markets."