Brian McLogan
Solving a quadratic by factoring but first setting equal to zero
👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Brian McLogan
How to use the inverse sine function to find the angle of a triangle
👉 Learn how to find a missing angle of a right triangle. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles gives us the relationship between the angles of a right...
Physics Girl
Gravity and Orbital Mechanics - Physics 101 / AP Physics 1 Review with Dianna Cowern
Lesson 8 (Gravitation and Orbits) of Dianna's Intro Physics Class on Physics Girl. Never taken physics before? Want to learn the basics of physics? Need an AP Physics 1 review before the exam? This course is for you! Exercises in this...
Brian McLogan
Expanding a natural logarithmic expression
👉 Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm...
Brian McLogan
Evaluating the geometric sequence for a given value given two terms other
👉 Learn how to find the nth term of a geometric sequence. 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. A geometric sequence is a sequence in which...
Brian McLogan
Learning how to expand a logarithmic expression with a square root
👉 Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm...
Brian McLogan
Learn to graph equation of an ellipse with a vertical major axis
Learn how to graph vertical ellipse not centered at the origin. A vertical ellipse is an ellipse which major axis is vertical. To graph a vertical ellipse, we first identify some of the properties of the ellipse including the major...
Brian McLogan
Identify the transformations and domain and range, square root function
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Brian McLogan
Finding the equation of an ellipse given a point and vertices
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
Find the domain and write in interval notation of a square root function
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Brian McLogan
Domain of the square root function
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Brian McLogan
Using the the half angle formula for sine to evaluate
👉 Learn how to evaluate the Sine of an angle using the half-angle formula. The half-angle formula for Sine is helpful when you need to determine the exact value of function given an angle but cannot use a calculator or the angle is not...
Brian McLogan
Writing the unit vector given a vector in terms of i and j
Writing the unit vector given a vector in terms of i and j
Brian McLogan
Finding the angle between two vectors u and v
Learn how to determine the angle between two vectors. To determine the angle between two vectors you will need to know how to find the magnitude, dot product and inverse cosine. Then, the angle between two vectors is given by the inverse...
Brian McLogan
What is a radical
👉 Learn the basics of simplifying radicals. A radical is an expression having the root/radical symbol. A radical expression can also be rewritten as an expression with fractional/rational exponent. The number outside the radical symbol...
Brian McLogan
Rationalizing the denominator of a radical monomial expression
👉 Learn how to find the square root of rational expressions. To find the square root of a rational expression, we first express the rational expression as the square root of the numerator divided by the square root of the denominator....
Brian McLogan
Determine if a set of points is a parallelogram using the distance formula
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of...
Catalyst University
Voltage to Electric Field in Three Dimensions
Voltage to Electric Field in Three Dimensions
Curated Video
Understanding the Relationship between Sine and Cosine Values on the Unit Circle
In this lesson, students will learn about the relationship between sine and cosine values on the unit circle. By studying the coordinates of points on the unit circle, they will discover that certain angles have equal sine and cosine...
Curated Video
Finding Complex Solutions of Quadratic Equations
This video explains how to find complex solutions of quadratic equations using the method of completing the square. It provides step-by-step instructions on isolating variables, finding perfect square trinomials, and using the square...
Brian McLogan
Learning to solve a quadratic with two irrational solutions using quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Brian McLogan
How to solve using the square root method
👉Learn 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
How to do the number of solutions of a quadratic relate to the x intercepts
👉 Learn how to graph a quadratic equation in standard form. To do this we will explore multiple methods such as the intercept method, identifying the vertex, axis of symmetry and identifying points on the graph using a table. Once you...