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Dom Burgess
Is An Astronaut Faster Than An Air Rifle?
Astronauts abourd the ISS travel really fast...but how fast? And are they faster than an air rifle? In this epiosode, Dom does the maths and finds out.
Brian McLogan
Solving exponential equations using the one to one property
π Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both...
Brian McLogan
Write the equation of an ellipse given the foci 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
how to find the implied domain of a rational function - domain and range
π Learn how to find the domain of rational functions with a radical numerator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero...
Brian McLogan
Find the Unit Vector U in the Same Direction as Vector W
Learn how to determine the unit vector of a vector in the same direction. The unit vector is a vector that has a magnitude of 1. The unit vector is obtained by dividing the given vector by its magnitude.
Brian McLogan
Simplifying radical expressions and then combining them
π Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Brian McLogan
How to solve a quadratic using the quadratic formula
π 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
Solve a quadratic by applying 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 system of inequalities when one inequality is a vertical boundary line
π Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making...
Let's Tute
Solving Linear Equations by Graphical Method: Finding the Number of Solutions for Parallel Lines
In this video, we solve a problem based on graphical method for a pair of linear equations. We draw graphs for the two equations and find the number of common points between the lines to determine the number of solutions. We also show...
Brian McLogan
Solving a one step equation using division with decimals
π Learn how to solve one step linear equations. By one step we mean equations that take one step to solve. The one step is the inverse operation needed to isolate the variable such as addition, subtraction, division and multiplication...
Brian McLogan
Learn how to subtract a fraction from another negative fraction
π Learn how to add and subtract fractions whose denominators are not the same. Recall that when we want to add or subtract fractions having the same denominator, we add the numerators and retain the (common) denominator. This is...
Brian McLogan
Solving a word problem using a system of equations
πLearn 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....
Curated Video
Generating Equivalent Fractions Using Area Models
In this video lesson, students will learn how to generate equivalent fractions using area models. The teacher explains the concepts of numerators and denominators, as well as common mistakes students make when comparing fractions.
Curated Video
Dividing Whole Numbers by 10 and 100 Using Place Value
In this video lesson, students learn how to divide whole numbers by 10 and 100 by understanding the concept of place value. They discover that when dividing by 10, the digits shift one place to the right, and when dividing by 100, the...
Catalyst University
Hydration Equation: How Much Water Does an Athlete Need?
Hydration Equation: How Much Water Does an Athlete Need?
Brian McLogan
Graph the equation of an parabola with a horizontal axis of symmetry
Learn how to graph a horizontal parabola. A parabola is the shape of the graph of a quadratic equation. A parabola is said to be horizontal if it opens to the left or opens to the right. A horizontal parabola results from a quadratic...
Brian McLogan
ACT SAT Prep How to calculate percent price increase
ACT SAT Prep How to calculate percent price increase
Brian McLogan
How to evaluate the difference of two angles for tangent, tan
π Learn how to evaluate the tangent of an angle in degrees using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...
Brian McLogan
How to use the half angle formula for tangent to evaluate for an angle
π Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function...
Brian McLogan
Simplifying the difference quotient of a quadratic function
π Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the...
Brian McLogan
How to use u substitution to find the indifinite integral
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 an indefinite integral or as a definite...
Brian McLogan
How to add and subtract three radicals, square root
π Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Brian McLogan
Dividing rational expressions
π Learn how to simplify expressions by dividing its terms. Remember that dividing a fraction is the same as multiplying by the reciprocal. When multiplying expressions, each individual term of the expression is multiplied to its like...