Math: Page 29

Learn how to translate shapes with a few simple steps.

Before you can effectively use exponents, it is necessary to understand the laws behind them. First, in order to multiply a number raised to an exponent, by that number raised to another exponent, just add the exponents: for example, 2^5 * 2^2 is 2^(5+2), or 2^7. In short, a^m * a^n = a^(m+n). Similarly, dividing a number raised to an exponent by that number raised to another exponent can be done by subtracting the exponents: a^m / a^n = a^(m-n). To raise a number raised by an exponent to...

In this video the instructor shows how to graph a line using X-Y table values. He specifies a four step approach. In the first step he picks numbers for the value of x. In the next step he substitutes the values of x in the equation of the line to obtain the corresponding y values, in the third step he plots these ordered pairs on a graph sheet. Finally in the fourth step he joins them resulting in a straight line for the given equation. This video clearly shows how to graph a line using an X-Y...

This video tells you how to find a slope of a parallel / perpendicular to it. In the equation y = mx + c, m is the slope. To calculate the slope of a line that is parallel to another line, you have to consider the rule m1 = m2 which means slope of the first line m1 is equal to the second line m2, if both the lines are parallel. Take the equation y = 2/3x - 7.2/3 is the slope. According to the rule m1 = 2/3 and so m2 = 2/3.Now to calculate the slope of perpendicular line you have another rule...

This is a mathematical educational video on how to find extra points for a parabola. In the first two examples there is no need for finding extra points as they have five points and have zeros of the parabola. In example 3 we need to find extra points. The equation is y=4xsquare-4x+4. You can take x= -1 and get the value for y. You will get a point now. Similarly you can substitute -2 for x in the same equation and get the value for y. Now you get another point. Now you can draw the parabola.

In this math tutorial the instructor discusses the properties of a rhombus. He begins by saying that the properties of a rhombus are similar to the properties of a square. He says that the rhombus is a quadrilateral and hence the sum of internal angles of it is 360 degrees. He says that four sides of a rhombus are equal in length. He says that a rhombus has two diagonals which cross each other at their mid points and are perpendicular to each other but says that the lengths of diagonals...

In this video the tutor shows how to find the midpoint of a line. He goes on and gives a formula to find out the mid point of a line. The x coordinate of the mid point of a line is the average of the x-coordinates of the end points of that line. Similarly the y coordinate of the mid point of a line is the average of the y-coordinates of the end points of that line. He notes down the formula and explains it by taking an example. This video shows how to compute the mid point of a line given its...

Math always seems hardest until someone shows you how to do the problem and then it all seems just so simple. This video will walk you through the process of finding the surface area of a cone when you also have to derive the slant height. Use this example to help with your other cone problems.

In this video the tutors explain about the concepts of Circular Velocity and Acceleration. She explains the concepts using a real world small experiments. She shows that the equation to calculate circular velocity is v = (2 * Pi * r) / T, where r is the radius of the circle the object moves in, and T being its time period. Now she takes the values from the experiment and calculates the velocity of the other tutor who is the object that runs around in the circle for the experiment. She even...

This video teaches you to subtract mixed numbers with borrowing. Consider 2 mixed numbers. For example 8 and 2/7 and the other 5 and 4/5.You have to subtract 5 and 4/5 from 8 and 2/7. First you have to convert the fractions to their common denominator. To equate the denominators of these two fractions you have to multiply the first denominator with the numerator and the denominator of the second fraction and also multiply the numerator and denominator of the first fraction with the denominator...

This is how to calculate the area of a rhombus. A rhombus is a quadrilateral shape in which all sides are congruent. A rhombus has two sets of parallel lines, the diagonals of which form 90-degree angles at the point they meet. Also the angles opposite to one another are congruent. The area of a rhombus can be gotten by multiplying both the diagonals and then dividing the total by 2. Say one of the diagonals is 10 and the other is 12, the area will be 10 x 12 = 120/2 = 60. That is how to...

In this video tutorial the instructor explains about the concepts of standard normal distribution and the empirical rule and how to use it to solve an exercise. He starts by explaining about standard normal deviation saying that in a standard normal deviation the value of mean is zero and the value of standard deviation is one. Now he draws the standard normal deviation by drawing a bell curve on an axis. Now he points the mean and standard deviations on it. Now using these concepts he goes on...

In this tutorial the instructor shows how to write a Slope-intercept equation that is perpendicular to a line and passes through a point. He shows how to do this by solving an example with sample values. He says that the slope of a line perpendicular to the original line is the negative inverse of the slope of original line. Now he writes down the slope value in the general equation y = mx + c, and by substituting the sample value in the equation he obtains the value of the Y-intercept c, thus...

For anyone who is learning geometry and would like to learn or to review how to find the volume of a cone, this is the video for you to watch. The video provides you with both the simple formula for a cone as well as various examples which you can use to practice. The formula for finding the volume of a cone is 1/3 x pi x r^2 x h, where r is the radius of the base circle of the cone and h is the height of the cone.

This video tutorial shows how to solve inverse proportions. The tutor says that in inverse proportion it works differently than in the direct proportion. He says that in inverse proportion more means less or less means more. He uses the example of driving a car to illustrate his idea. He says that if you drive a car with more speed, you take less time to reach a place i.e. here more speed means less time. He goes on and solves a problem involving inverse proportion explaining how to solve these...

In this tutorial the instructor shows how to solve linear and quadratic equations. It is a liner quadratic system where he shows a parabola and a straight line and he intends to solve the points where the line intersects the parabola. Now he uses comparison to compare the values of y in both the equation resulting in a equation in x. Now he shows the factors of the obtained polynomial equation and there by finding the values of x coordinates. Now he substitutes these values of x in the original...

Working with integers is the basis of all mathematics. Subtracting is naturally a little more complicated than adding. If you are having trouble with subtraction, check out this video. This tutorial illustrates how to subtract integers, as used in high school math courses.

Watch this video to learn how to convert improper fractions to mixed numbers. For example, follow these steps. First step is one fraction value. For example 7/3. Second step is divide the numerator by denominator means when 7 divide 3 you can get remainder as 1. Means 7 before value can multiply with the 6 so you can subtract 7-6=1 that is remainder. Multiplied value of 3 nothing but 2 is multiplication of the mixed numbers remainder take it as a numerator and denominator is always take it as...

In this video tutorial the author shows how to use the Cosine Law. He shows how to find an angle of a triangle where he know all the sides of a triangle, using the cosine Law. He uses a lower case letter to designate a side and a capital letter to designate an angel apposite to that side. He gives the formula for the cosine law using a triangle as an example. Now he goes on and demonstrates how to use a scientific calculate. He shows how to use the degree mode in the calculator to solve these...

For anyone who has ever struggled with long division, this video offers some tips on how to perform this seemingly daunting task with relative ease. The example provided in this video is a very useful one and by following the steps of this video, you will be able to do long division easily. Starting from the right side of the number which is being divided, add 0's as place holders until you arrive at a number which can be divided by the number you want to divide by. Perform this one simple...

Another thing you will learn in geometry is volume. In this tutorial, learn how to find the correct volume of a rectangular prism. A rectangular prism is a three dimensional object, which is why you are searching for volume as opposed to area. Check out this video and see just how easy it is to calculate rectangular volume.

This is an educational video usually for college students or maybe even some high school students. This video explains to us how to calculate our cumulative grade point average. The main character in this video is Colleen who is a Registration Assistant. This video is mainly concerned with the students at the specific university that Colleen attends, however, all students who are graded can use this to help calculate their GPA. Although Colleen goes into a rather lengthy explanation of GPA,...

This video is about subtracting mixed numbers and renaming.

In this tutorial, the instructor shows how to compute the surface area of a regular pyramid. A regular pyramid has four equal sides which are in triangle form, and the base in square form. Its surface area is four times the area of its side plus the area of its base. He goes on and takes an example with sample values and demonstrates how to compute the final value using the formula. He reminds the viewer to use square units in the final answer, as square units equal the area. To find out the...

This is an excellent educational video on mathematics. This video teaches you how to find the volume of cylinder with an example. The volume of cylinder is the bottom area multiplied by the height. Here, the height is 12 inches and the radius is 9 inches. The bottom area is Pi r square=piix81 sq inches. volume = piix81x12 = piix972

mathproblemgenerator.com provides a video about how to find a central angle with a given radius and a tangent. The angle at the intersection of the radius and the tangent is equal to 90 degrees. The second angle is also given in the problem. So the central angle is equal to 180 minus (90 plus the other angle given). In the video, the given angle is 54 degrees, making the equation = 180 - (90 + 54). Therefore the central angle is equal to 36.

For people who are learning how to do basic geometry, this video will show you how to draw a perpendicular line from a point on a line using only a compass and pencil. You should first take your compass and place it on the center of the point on the line, drawing an even semicircle around the point. Then, finding the points where the semicircle intersects your original line, place the center of your compass on this point and then draw some arcs over where your point is. Repeat this on both...

Ever wonder how much delicious chocolate pudding you could fit inside a sphere as large as the earth? Maybe not, but after watching this video, you could figure it out! Follow along with the narrator as the formula for determining the volume of sphere is explained, accompanied by helpful visual animations that make the calculations come to life. And if you can't hear the instructions, you may need to check your volume.

In this tutorial the author explains the concept of Newton's Second Law of motion which states that force is equal to mass times acceleration. So the equation to compute force F is F = m * a, where m is the mass of the body and a is the acceleration produced by the force on that body. He explains that even our weight is our mass times the gravity. So now he explains that mass of a body is constant and only our weight changes depending up on the situation we are in. If you want a clear...

In this video tutorial the author shows how to find the surface area of a cylinder. He shows a four step approach to solve this problem. First he gives us a formula to find the surface area of a cylinder, where Surface area A = 2 * Pi * R * R + 2 * Pi * R * H, where R is the radius of the base of the cylinder and H is the height of the cylinder. Now he identifies those values and substitutes them in the formula giving the surface area of the cylinder. This video shows how to compute the surface...

In this video tutorial the author shows how to convert between customary units. He gives a chart which contain various convention tables showing the equivalents of various measurement units. He says a general rule that when converting a smaller unit to large unit we divide the numbers and when converting a larger unit to smaller unit we multiply the numbers. He takes a few examples and shows how to convert between various units like feet, yards, inches etc. This video shows how to convert...

Learn to divide fractions using the inverse with this video. It is an easy way to divide the fractions just by multiplying the two fractions but reversing one of them. For example consider two fractions to be divided, (1/4) and (3/5). Then write the two fractions beside, one in the same way and another in the reverse order like remain (1/4) as it is and reverse (3/5) as (5/3). Then multiply these two terms (1/4) * (5/3) then the solution will be (5/12).

This test can be used to determine whether the given graph is a function or not.

The video Understand The Basics of Velocity & Acceleration (301974) is a tutorial into the physics of position, velocity and acceleration. Each concepts are explained in terms of physical properties for the purpose of mathematical equations. Acceleration for instance is the increase in speed of an object in time. It is important to understand how these words are defined then translated into mathematical quantities in order to do problems in physics. With the correct understanding of forces...

In this video the instructor shows how to shade a system of inequalities. He says that shading a system of inequalities is similar to shading a single inequality but in the former case you tend to shade more than one inequality in the same graph. He shows how to do that using an example set of inequalities and plots the lines on the graph. He uses dotted lines for lesser than or greater than inequalities and uses straight lines for inequalities which contains the equal to symbol. Now he shades...

To convert between diameter and radius just follow a few steps.

This is a one of the coolest videos about arithmetic sequence, it has a very clear explanation about the arithmetic sequence formula and also more than one example which would help the viewer to learn this formula and its implementation in a easier way. This video is a also very helpful for the people who appear for interview since it is a very basic formula that every science student must remember.

A conservative vector field is defined as being the gradient of a function, or as a scaler potential. Conservative vector fields are not dependent on the path; they are path independent. Conversely, the path independence of the vector field is measured by how conservative it is. These fields are also characterized as being ir-rotational, which means they have vanishing curls. Actually, ir-rotational vector fields are conservative as long as a certain condition on the geometry of the domain...

In this tutorial the instructor explains how to divide fractions. He gives a three step approach where in the first step we take the reciprocal of the second fraction. In the second step the newly arrived at fraction is multiplied with the original fraction. Now finally in step three the result is deduced and the answer is obtained. This video explains clearly and simply a three step procedure of how to divide fraction.

The instructor in this video gives a tutorial on how to divide fractions by "flipping & dipping" method. He says that to divide two fractions we need to follow two steps of flipping and dipping. He says to write the first fraction as it self and flip the second fraction and write it beside. Now he says that instead of dividing we are dipping and multiplying both the fractions which results in the division of the original fractions. Now after multiplying the fractions we get a fraction which can...