Brian McLogan
Find the partial sum of a sequence of 25 terms
π Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic...
Visual Learning Systems
Motion: Calculating Speed
Students will explore the principles of motion, the basic concepts of speed and velocity and how speed and acceleration are calculated. Numerous examples of common occurrences illustrate the principles of motion. Other terminology...
msvgo
Angle Between Lines
It explains how to compute the angle between two lines when the slope is given with a special emphasis on parallel and perpendicular lines.
Tarver Academy
How to Solve for a Variable
In This Episode, Tyler Teaches Us About How to Solve for a Variable
Brian McLogan
How to find the measure of an individual angle when given the sum of interior angles
π Learn how to determine the measure of the interior angles of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines. A regular polygon is a polygon whose sides are congruent (equal). The interior...
Brian McLogan
How do you find the volume of a hemisphere
π Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is...
Brian McLogan
Using the distance formula to determine the distance between two coordinate points
π Learn how to find the distance between two points. The distance between two points is the length of the line joining the two points in the coordinate plane. To find the distance between two points in the coordinate plane, we make use...
Brian McLogan
How to find the diameter of a circle with a given 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
What is the definition of an arithmetic 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 the change of base formula to solve, log7 (2401) = x
π Learn how to solve logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the logarithm part of...
Brian McLogan
Finding the rule of the sequence using multiplication and addition
π Learn how to write the explicit formula for the nth term of an arithmetic 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. An arithmetic...
Brian McLogan
Finding the common difference of the sequence
π Learn how to determine if a sequence is arithmetic, geometric, or neither. 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...
Brian McLogan
Given the foci and length of major axis find the find the equation of an ellipse
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
Given a point and both vertices, find the standard form of the hyperbola
Learn how to write the equation of hyperbolas given the characteristics of the hyperbolas. The standard form of the equation of a hyperbola is of the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2...
Brian McLogan
Find the sector length or angle using arc length formula
π Learn how to solve problems with arc lengths. You will learn how to find the arc length of a sector, the angle of a sector, or the radius of a circle. An arc of a circle is the curve between a pair of points on the circumference of the...
Brian McLogan
How to evaluate for cosine using the sum and difference identities
π Learn how to evaluate the cosine of an angle in radians 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
Evaluate sine using the sum and difference formula
π Learn how to evaluate the sine of an angle in radians 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
Using the formula for difference if two squares to factor a polynomial
πLearn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then...
Brian McLogan
How to apply the quadratic formula to solve for two real solutions
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
Determine the slope between two points that are fractions
π Learn how to find the slope between two points. The slope of a line is the steepness of the line. The horizontal line has a zero slope while the vertical line has an undefined slope. To determine the slope of a line passing through two...
Brian McLogan
Evaluating the partial sum of a arithmetic series
π Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic...
Brian McLogan
Finding the sum or an arithmetic series using summation notation
π Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic...
Curated Video
Understanding the Average Rate of Return for Business Investments
This video provides an explanation of the average rate of return (ARR) for businesses. The video covers the formula for calculating the ARR, as well as how to interpret tables and calculate the ARR for a given investment project. The...
Brian McLogan
Determine the number of sides of a regular polygon given one interior angle ex 1
π Learn how to determine the number of sides of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines. A regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon...