In this video the instructor shows how to simplify a complex fraction. A complex fraction is a fraction that has fractions in both the numerator and the denominator of the original fraction. Complex fractions can look intimidating but are generally simple to solve, as shown in this video. A fraction is nothing but a division of its numerator and its denominator. So in a complex fraction basically you are dividing two fractions. Now you can turn this division into multiplication by multiplying...
Multiplying polynomials is a distributive property. If you are given with two binomials and asked to multiply them, you need to apply the distributive property and multiply the terms of binomial with the terms of second binomial. To do this first take a term of first binomial and multiply it with the second complete binomial. Now take the second term of first binomial and multiply it with the second binomial adding or subtracting it from the previous result depending on the sign between the f...
In this video the instructor shows how to find out the fourth roots of a number. The properties of fourth root says that for any positive number of a, its fourth roots are real. And for any negative value a, its fourth roots are not real. So split the number inside the fourth root as the product of two perfect squares and then cancel out the power with the fourth root giving its roots. As the fourth roots of a positive number are real, the answer you get is correct. But you cannot find out th...
To write the sum or difference of logarithms as a single logarithm, you will need to learn a few rules. The rules are ln AB = ln A + ln B. This is the addition rule. The multiplication rule of logarithm states that ln A/b = ln A - ln B. The third rule of logarithms that deals with exponents states that ln (M power r) = r * ln M. Using these three rules you can simplify any expression that involves logarithms to arrive at a single logarithm. The instructor shows how to apply these rules to a f...
The video demonstrates the solving of radical equations in algebra. The first thing to be done is to keep the radical number on one side and the other numbers on the other side. The radical is then changed to a rational number by squaring, cubing etc. Once the roots are removed, it becomes a simple equation which can be solved by keeping the unknown number on one side and the rest of the numbers on the other side. The value, thus arrived at, is checked by putting the value of the unknown numb...
In this video the instructor shows how to solve rational equations. If you have fractions in your equation, then you need to factorize the denominators first. Now compute the least common denominator of all the denominators of the fraction. Next multiply both sides of the equation with the least common denominator. This cancels out all the denominators of all the fractions and you are left with a linear equation. Now simply multiply the remaining terms in the numerator and add common terms to...
In this video, the instructor shows how to find the order of operations with fractions and decimals. If you have an equation with both fractions and decimals, you can convert the decimals to fractions, or fractions to decimals to have the entire equation in either decimals or fractions. In this video, the instructor shows how to do this in either way. To convert fractions to decimals, just divide the numerator with the denominator. This method cannot be used if the decimals are repeating deci...
In this tutorial the instructor shows how to simplify complex fractions. A complex fraction is the same as a normal fraction, but has a fraction problem in the numerator and a fraction problem in the denominator. The first thing to do is arrive at a simple fraction both in the numerator and the denominator. To do this take the lcm of the denominators of the fractions in the numerator and simplify it. Similarly do this in the denominator. Now both the numerator and the denominator have a simpl...
This video explains how to make authentic French toast when entertaining guests. The recipe requires some preparation to be performed the night before the guests arrive, as well as some baking the morning of the event. This recipe really captures the essence of French toast by using nutmeg, cinnamon, freshly baked French bread, milk and eggs. While ideally designed for entertaining guests, this recipe can also be modified to feed a family for breakfast. In the video, the recipe feeds about 12...
This video shows the method to add rational expressions with different denominators. The first step in this process involves finding the LCD. After this is done, the numerator and denominator are multiplied by a specific number so that the fractions are rewritten with common denominators. In the second step the numerators are added or subtracted according to the problem with LCD in the denominator. Simplify the numerator by adding or subtracting like terms. After this, we get a rational expre...
This video demonstrates how to solve a linear function with rational coefficients by multiplying by the reciprocal of the coefficient. The reciprocal is just a fancy way of saying the numerator and denominator are swapped. Two sample problems are solved using this method. Multiplying each side of the equation by the reciprocal of the rational coefficient of the variable 'x' is an allowed operation, but only because both sides are multiplies by the the same amount. The teacher then demonstrate...
Good Housekeeping Magazine has teamed with the American Heart Association to bring this life-saving video to you. In the event of a sudden cardiac arrest, call 911 and begin chest compressions immediately. Place your hands on the center of the chest and push hard and fast until help arrives. Compressions help deliver oxygenated blood to the brain and heart. This hands only approach to delivering CPR can greatly alleviate fear, and can double or quadruple a victim's chance of survival.
In this video the instructor shows how to solve a system of equations by elimination method. First you need to know how many possible number of solutions you can get by solving a system of equations. There are three possibilities. In the first case there are two lines with different slopes, so they intersect at a point which is the solution to that system. In second case there can be two lines with same slope but are parallel to each other. In this case the system has no solution. In the thir...
In this Math Made Easy tutorial the instructor shows how to multiply rational equations. He states that multiplying rational equations is simply a process of simplifying equations, in which he says that first the polynomial equations should be factorized. He further shows how to factorize the equations by solving an example. After factorizing them he reduces the common terms on the numerator and the denominator and finally arrives at the new simplified equation. This video clearly shows the m...
In this tutorial the author shows an easy and simple way of subtracting fractions with uncommon denominators. He says that to subtract fraction with uncommon denominator, we need to make their denominators equivalent first and after making the denominators equal, you need to increase the numerators proportionally to maintain the original ratio of the fraction. Now as the denominators are same, we can directly subtract the numerators arriving at a new fraction. He further shows how to deduce t...
In this video tutorial the instructor shows how to calculate the acceleration of a car on an inclined plane. He goes on to solve a problem he came across which is based on the acceleration of a car on an inclined plane. He shows how to solve this problem by showing how to extract the data from the question and draws a diagram to get a clear understanding of the problem. Now he marks the forces acting on the vehicle and goes on to specify his axes and how to split the components of force along...
This video is about understanding the basics of selling on eBay. Your feedback rating is very important. Buyers rate you on their purchase, the quality of the merchandise, how quickly it arrived, and the information you provided. Research prices on eBay. If the item is priced $2.99, and there are "0" bids, it's the starting price. If there are 8 bids, and the price is $12.99, the item was bid up to $12.99. Click on the item link below the picture, and it will bring up the bid history. You can...
This video shows you how to get the quadratic equation for the quadratic function with roots; (5,0), (12,0) which passes through the point(8,6). It shows a man solving this problem using a black board and chalk to clearly demonstrate the method of plugging in the respective coordinates to arrive at an answer. After watching this video, any person over the age of twelve will know how to use quadratic functions to derive quadratic equations and solve mathematical problems with this particular m...
Fractions can look scary. But, don't worry, their bark is not as big as their bite! In this tutorial, learn how to multiply two fractions and simplify the answer into the smallest possible outcome. The basic process is to multiply straight across. Multiply the numerator times the numerator and the denominator times the denominator. You will arrive at a new fraction, from there you can simplify into the most tidy form of the fraction.
In this tutorial the author explains how to compute the area of a complex figure. Now he first defines what a complex figure is by saying that a complex figure is a figure made up of two or more basic shapes. He uses an example to convey his idea and breaks that sample figure into basic squares and rectangles. Now he computes the areas of these individual units separately and finally puts them together to arrive at the final area of the complex figure. If you are looking to compute the area o...
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, thu...
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...
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.
In this tutorial the instructor shows how to compute the area of irregular shapes. He demonstrates this with an example showing an irregular area and says that as there is no direct formula to calculate it, you need to break up the irregular area into identifiable simple geometric figures. He goes on and breaks the irregular shape into a square, a triangle and a trapezoid. Now he computes the individual areas using a standard formula and sums them up to arrive at the final complete area of th...
In this simple tutorial the author shows the basic arithmetic operations like converting a terminating decimal into a fraction. He says that the complexity depends up on the number we are converting. He asks us to imagine the decimal as a fraction with an imaginary denominator of value one. Now he intends to remove the decimal in the numerator by moving it to the right of the number and he tells us to similarly move similar number of decimal places in the denominator to maintain the original ...
The third dimension has finally arrived to internet browsing! Be sure to catch the wave of innovation with this series of tutorials. Initially, we'll be examining the importance of texturing basic 3D objects. Watch as the almost magical effects of texturing in 3ds Max transform a simple cube into a trendy clothes dryer. Polygons are saved, browsing is made speedier, and clients are bound to be happy. Next stop, bring it into Papervision3D! If you wish to learn about using 3D elements on the i...
Decks and patios are a major source of America's entertainment and relaxing enjoyment, but they can be hot in the summer sun. They can actually be dangerous if they reflect the sun's ultraviolet rays. And running your grill during a rainstorm that arrives the same time as your guests can be a real frustration. One answer is a sunroof over your patio or deck. If designed properly, a sunroof can cut the summer sun, but still allow winter sun rays to warm the house. The sunroof shown is a typica...
Apple's annual iPhone launch is set for Sept. 10 and iOS 13 is expected to be released soon thereafter, but it appears that the likelihood of a "one more thing" reveal just got a big boost.
Apple has finally released iOS 12 for everyone to enjoy, and there are plenty of cool features to go around. Perhaps the coolest feature, at least, for those of us with an iPhone X, is the return of an oft-used gesture we loved on other model iPhones.
Augmented reality app developer Laan Labs has shared a preview of a beta app that achieves 3D scanning with just an iPhone and produces highly-detailed models for sharing with others.
With the launch of the Magic Leap One looming over summer's horizon, on Wednesday, Magic Leap released an essential component that will differentiate it from current augmented reality platforms.
After the spectacular rise and fall (and rebirth) of Glass, Google is taking another run at augmented reality smartglasses.
Google's Pixel smartphone had a decent head start as one of the first devices to offer ARCore, but that early exclusivity has been frustrating for some Android device owners. Some of that frustration was relieved when Google added more Android devices to the ARCore list in February.
Now, when the weather outside is frightful, Pokémon GO players can expect it to be just as unpleasant in augmented reality.
At their event in San Francisco today, Microsoft announced that they have begun accepting pre-orders for Windows Mixed Reality headsets from Acer, Dell, Lenovo, and HP, with the devices arriving on Oct. 17 along with the Windows 10 Fall Creators Update.
A lot more people are about to be able to use Android Auto. Google announced at I/O 2016 that you'll soon be able to use the app with only your phone, so you won't need a compatible car or third-party display unit. And if (or more likely, when) Google brings the app to iOS, Apple may lose the precious "infotainment" system battle very early in the game. The update isn't coming until later this year, but once it arrives, you'll be able to mount your phone and use Android Auto the same way that...
Taxi drivers and cab companies across the globe are in an uproar over Uber, and for good reason, too—you just can't compete with the low fares and ease of use that Uber brings to the table. The only downside is that the groundbreaking ride share service usually requires a smartphone—but that shouldn't be an issue anymore with one simple tip that I'll outline below.
Imagine two stakes in your backyard. Now draw an east-west, north-south coordinate system on your lawn. Measure the east-west distance between the stakes and also the north-south distance. Take the square root of the sum of the squares of the two measurements and, voilà, you end up with the "distance" between the two stakes.
Everyone should know how to perform basic first aid, especially for choking victims. This video will help deaf people and those with hearing impairment learn how to deal with choking, using sign language. Choking is serious life-threatening problem that need immediate attention. It could result in such problems as hypoxia or even death.
Golf Link with Chuck Cook demonstrates how to use the punch drill to cure a hook shot in golf. A common cause to closing the golf club face and making the ball hook is the release of the head of the club early on the downswing. This is called casting the head of the club which makes the head of the club arrive at the point of impact before your hands. At the moment of impact you want the back of your left hand flat and the back of your right hand bent so that you can compress the ball. Use th...
