![]() ![]() The objective of completing the square is to satisfy the above two conditions. ![]() The trinomial does not contain the coefficient a, or rather, a = 1 If we go back to the standard form of the quadratic equation, ax 2 + bx + c = 0, you will notice two differences between this perfect square trinomial and the quadratic:ġ. is positive because any number squared is positive. This is because if b is negative, then the constant in the binomial will need to be negative as well. Notice that there are cases where you will subtract. If we square this binomial, the perfect square trinomial needed to complete the square will equal: Therefore, the binomial used to complete the square is: As you can see, the coefficient of x is 2n.įor a quadratic of the form x 2 + bx + c, the coefficent of x is already b, so we only need to figure out the value of the constant c. The square of a binomial is a binomial multiplied by itself.īinomials of the form x + n, where n is some constant, are some of the easier binomials to work with. This is for high school students taking algebra and univers. A perfect square trinomial is a trinomial that will factor into the square of a binomial. This algebra 2 video tutorial shows you how to complete the square to solve quadratic equations. Generally, the goal behind completing the square is to create a perfect square trinomial from a quadratic. It can also be used to convert the general form of a quadratic, ax 2 + bx + c to the vertex form a(x - h) 2 + k Enter your answers correct to two decimal places.Home / algebra / solving equations / completing the square Completing the squareĬompleting the square is a method used to solve quadratic equations. Practice using the completed square method to find the roots of these equations. We can follow the same process if the coefficient of is negative:Īs there are no real solutions to, we can conclude that there are no -intercepts to the parabola, and therefore, there are no real solutions to the equation. More Difficult: When the coefficient of the term is not Example 4īecause we have an equation, it is permitted to divide all terms by as follows: ![]() ![]() By completing the square we can solve as follows: Using Completed Square to Solve Example 1 It is useful to us in the context of solving a quadratic equation because the unknown appears only once, which makes it possible to isolate. This is called the completed square form. Now let’s back up to make sure the right hand side is equal to the left hand side: So we need to subtract the in order for our final line to equal our original line. We see that using instead of we have introduced an extra. The process is to introduce a square term (using half of, the coefficient of the term) and then to subtract any new terms introduced by this process: If there is no fast way to the solution then we must use either the quadratic formula or the completed square method. In these three examples, there is no need for either the quadratic formula or the completed square method. The third kind of quadratic equation that is not difficult is the kind that factors easily. Example (a)Īlso, if a quadratic equation has only the term and the term, it can be factored. If a quadratic equation has only the term and the constant, the equation is not difficult. When there are only two terms, or if the expression factors However, in a quadratic equation we have both an term and an term which makes isolating more difficult. We can solve linear equations more directly – we can generally isolate the just by a sequence of adding, subtracting, multiplying, dividing both sides by the same quantity. When all three terms of the quadratic expression are present, we need to use factoring, the quadratic formula or the completing square method to solve. In the context of graphing, solving a quadratic equation leads to the roots ( -intercepts) of the parabola. The figure above is an example of there being no real solutions to the equation. Ī parabola may not cross the -axis at all: The figure above is an example of there being one, real repeated solution to the equation. Ī parabola may just touch the -axis, with the -axis being a tangent to the turning point of the graph: The figure above is an example of two, real, distinct solutions to the equation. The shape of the graph of a quadratic function is a parabola. Solving this equation is the same process as finding the intercepts of the function. A quadratic equation is one that can be rearranged to the form. A quadratic equation can appear in many different formats. ![]()
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2/18/2024 0 Comments Animated youtube logo maker free![]() ![]() – The ability to add your own logo, music, and voiceover Some of the features of Renderforest include: Pricing for Renderforest starts at $39 per month, and they offer a free trial. ![]() Their logo animation maker allows you to create both static and animated logos. Renderforest is a logo animation maker that offers a wide range of features. Read also : Animation In Marketing: Why Do Brands Use Animation? Their wide range of features makes them a great choice for businesses of all sizes. – The ability to add your logo, music, and voiceoverīiteable is a great option for those looking for an easy-to-use logo animation maker. They offer a free trial, and pricing starts at $19 per month. Biteable is an online video maker that helps you create logo animations and other types of videos. Pricing: $30 per month, with a free trial available. Pricing for Animoto starts at $30 per month, and they offer a free trial. You can use their drag-and-drop video creator to make logo animations, as well as other types of videos. Animoto is a website that allows you to create professional-looking videos with ease. The first logo animation maker on our list is Animoto. These programs offer a variety of features and tools that can be used to create professional-looking logo animations. Some popular programs for creating logo animations include Adobe After Effects, Blender, and Cinema 4D. If you want to create a more complex or custom logo animation, you will likely need to use some graphic design or animation software. ![]() ![]() However, some many online tools and services can be used to create logo animations, often with no prior experience or design knowledge required. If you have some experience with graphic design and animation software, you can likely create your logo animation from scratch. There are a few different ways that you can create a logo animation. Logo animations can be simple, such as a static logo that slowly fades in and out, or they can be much more complex, incorporating multiple moving elements and special effects. This can be done for various reasons, such as to create a more modern and updated look for the company, or to add some visual interest to the company’s website or social media pages. Logo animation is creating an animated version of a company’s logo. Ultimately, the best logo animation app will be the one that best suits your needs and preferences. However, some widely used and well-liked programs include Adobe After Effects, Blender, and Cinema 4D. There is no definitive answer when it comes to the best logo animation software. Which Logo Animation software is the best?
2/18/2024 0 Comments Pokemon rom hacks for gba![]() You will need spend more than 24 hours to complete this game.
![]() ![]() ![]() It also helps you to import data from a computer to a mobile with a single click. The application offers a Cloud-Connected tool for the automatic sync of apps, updates, pictures, and messages from your mobile to the computer. It is so easy to access the game that you do not have to log in or register. If you are looking for a fast scrabble game to play online, this place is for you. How to play Scrabble: Choose the level of difficulty, and spell your first word on the board, making sure it hits the center space. Spelling Bee How many words can you make with 7 letters Phoodle Online Find the correct five-letter food word to win this puzzle game. It belongs to the Desktop Enhancements category. Scrabble is a free spelling game with several fun twists. but if you want to download an older version then go to the main site of Bluestacks. The BlueStacks Latest Version Downloads with freeware licenses available for Windows 32-bit as well as the 64-bit operating system of a laptop and PC without limits and is presented for all software users as a free download. In addition, it requires a 32-bit and 64-bit setup, a separate X64 version is also provided by the BlueStack system. Train your mind by playing online scrabble without the need to create an account or log in. With various compatibility with all types of devices, the software has special compatibility with all types of Windows-Windows 10, Windows 8, Windows 8.1, Windows 7, Windows Vista, and Windows XP are mainly operating systems to run the app very smoothly and reliably. When you choose to play a random opponent. On Lexulous, you can also play Scrabble online in different modes: practice against the computer, get paired with a random player online, or start a game with your friends. Take smooth navigation online with a built-in browser, enjoy Whatsapp chat as well as monitor your Facebook and Twitter accounts, share your pleasant memories, and easily enable or disable the notifications from the setting panel, with the integration of a camera for using apps like Instagram and Snapchat. Lexulous might lack a fun-looking interface, but it’s definitely worth a look thanks to all the features it offers. There we have many other family board games, such as: Happy Words (similar to Scrabble) Backgammon. Here you will be able to experience the fastest scrabble game. You can play the game in our Board Games Online website. After installing the insert you already exist a Google account or a new one for accessing the Play Store. Train your mind by playing online scrabble without the need to create an account or log in. The user-friendly interface including proper buttons in the main window gives an easy approach to App Player. ![]() Use the original Layercake technology and run any type from the classic industry like Angry Bird to massive games like Clash of Clans, PUBG, or Fortnite. About 200 million users of the App Player product for playing mobile games on their PCs and Macs. Since its launch in 2011, the blue stack app crosses all mobile gaming boundaries. ![]() 2/18/2024 0 Comments Bat signal animated gif youtube![]() ![]() When writing a title, it is better to use simplified language as opposed to technical jargon.YouTube has a 100-character limit for titles but anything longer than 70 will be shortened in most search results. Try to keep titles within 70 characters (including spaces).If you’re uploading a new video, you will be directed to a screen where you can customize your title after the video is done loading. Select the upload you want to optimize to make all appropriate changes. ![]() From there, you’ll see a list of your drafted or uploaded videos. ![]() To edit your video’s title, click on your profile and then “Creator Studio”.Now that your video is uploaded to your YouTube channel, you will want to write a relevant title that includes at least one keyword at the beginning. Summarize those ideas into simple keywords. Think of keywords your target audience would search for by reviewing your channel, and types of videos you’re uploading.To add channel keywords, select “YouTube Studio” -> “Settings” -> “Channel” -> “Basic info”.Specifically, they help YouTube understand the type of content you produce and who your target audience is. YouTube channel keywords are terms that give YouTube information and context about your channel. Make sure your description includes keywords about your school, college, or department’s mission and role within the Boston University community.With this in mind, you’ll want to communicate your band/positioning right off the bat. ![]() The first 100-150 character of your channel description are the most important, as YouTube shows that text snippet next to your channel in the search results.When finished, click “Done” to save all changes. From there, select “About” followed by the pencil icon to edit. To edit your description, select “Customize Channel” at the top right corner of your channel dashboard.Examples could include: Boston University College of Communication, Elie Wiesel Center for Jewish Studies at Boston University, Questrom School of Business, Boston University, etc. Including ‘Boston University’ in your account name garners better SEO results. Make sure your account accurately represents the name of your school, college or department.Optimized hashtags will provide more visibility for related video posts on the platform. Hashtags can also be used on YouTube as keywords.It is important to keep this in mind as you are writing all titles, descriptions, and tags. SEO experts are also encouraging the use of questions as keywords as many users tailor their search by asking questions into their smart deceives (Siri, Alexa, etc.) or search engines.Examples might include: “College”, “Boston University,” “BU”, “Boston University data science”, “Boston University freshman year”, etc.People will type the keyword or phrase into Google or another search engine like YouTube for the best results. Keywords, are words or phrases that accurately describe the content on your page, video, or post.SEO is the process of optimizing your webpage/content (in this case your YouTube channel and videos) to get organic or un-paid traffic from the search engine results page.\It is important to keep SEO practices top of mind on YouTube as it is increasingly necessary to attract traffic and grow a following on the platform.These guidelines will show you how you can enhance both your videos and your YouTube channel to achieve the best results. YouTube is the second largest search engine (after Google) which means having search engine optimization (SEO) in mind when uploading your videos is key. Search Engine Optimization (SEO) for YouTube: A Step-by-Step Guide ![]() 2/18/2024 0 Comments Autism spectrum disorder ASD dsm 5![]() ![]() It is imperative that a comprehensive history be obtained because any evidence of restricted/repetitive patterns of behavior, interests, or activities in addition to the communication difficulties would lead to a diagnosis of Autistic Spectrum Disorder, rather than Social (Pragmatic) Communication Disorder. In doing a differential diagnosis, the key difference between the two similar disorders is that Autism Spectrum Disorder includes “restricted, repetitive patterns of behavior, interests or activities and gives equal weight to both communication issues and repetitive behaviors.”Ī person with ASD may have only exhibited these restricted, repetitive patterns during the early developmental period. While symptoms must be present from early childhood for both ASD and SCD, the DSM-V acknowledges that those symptoms may not be recognized until later, when a person with these limitations is faced with increased social demands. SCD is “characterized by a primary difficulty with pragmatics, or the social use of language and communication, as manifested by deficits in understanding and following social rules of verbal and non-verbal communication in naturalistic contexts, changing language according to the needs of the listener or situation and following rules for conversations and story-telling.”Ī person diagnosed with SCD has difficulty with “effective communication and social participation, development of social relationships, academic achievement, or occupational performance.” These difficulties cannot be due to low cognitive ability. According to the American Psychiatric Association, “the symptoms of people with Autistic Spectrum Disorder will fall on a continuum, with some individuals showing mild symptoms and others having much more severe symptoms.” There is also a new diagnosis called Social (Pragmatic) Communication Disorder (SCD), which falls under the category of Communication Disorders and may serve as an alternative diagnosis for someone with Asperger’s-like symptoms.ĪSD is the “persistent impairment in reciprocal social communication and social interaction, AND restricted, repetitive patterns of behavior, interests or activities.” The symptoms and behaviors must be present from early childhood and negatively impact everyday functioning. In the new DSM-V, the diagnosis of Asperger’s Disorder no longer exists and has been absorbed into the diagnosis of Autism Spectrum Disorder (ASD). In the previous edition of the Diagnostic and Statistical Manual of Mental Disorders (DSM-IV), the main diagnostic criteria of Asperger’s Disorder included a “qualitative impairment in social interaction and restricted, repetitive and stereotyped patterns of behavior, interests, and activities.” These deficiencies and patterns caused “clinically significant impairment in social, occupational or other important areas of functioning.” They may have a prior diagnosis of a Pervasive Developmental Disorder such as Asperger’s Disorder. Many of the participants at OPI come to us because they struggle with difficulties in communication and social interactions. ![]() ![]() ![]() We have also provided some of the most reliable sources from which you can download the program easily and securely. We explained why users can no longer download the ReiBoot 960 package.When all codes have expired, you can upgrade from $ 35.95 to the pro version. We collect and list some ReiBoot Pro codes that you can try. If you need to fix other iOS issues, you’ll need to update ReiBoot Pro to fix the iOS system.If you just want to downgrade them, use ReiBoot. ![]() Moreover, the beta firmware is still broken. However, simply remove the beta software from the iPhone.Moreover, if a blocked issue occurs, this program can fix the error iOS device can not be started after a recent update. Fix the error during the firmware update.If your iOS device can not exceed the Apple logo screen, using ReiBoot is the best option to repair it without data loss. Tenorshare ReiBoot can fix more than 50 types of iOS system errors with one click Fix iOS system errors and iTunes errors such as 3419, 3014, 4005, 4013.It is very easy to use and offers a one-click solution to all your problems. You can also use it on your iPad and Apple TV. Tenorshare ReiBoot Product Key is a great tool to solve all kinds of blocked issues on any iOS device.DFU mode is always difficult, but you can do it with just one click with this program. ![]()
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2/17/2024 0 Comments Automatic pool cover motors![]() ![]() You can operate it according to your preferences. It definitely helps by making your work much easier more convenient. ![]() Whether or not you decide an automatic pool cover is right for you, we want to make sure you are ready to make the right choice.As the name suggest, the automatic pool cover can cover and uncover the pool as soon as you activate the system. We understand – this is a huge investment. It is most important to always remove the melted snow and rain off the auto cover.Īlthough automatic pool covers come with a great amount of pros, we don’t want any clients having to deal with buyer’s remorse. That being said, it still takes inches upon inches to damage a cover that is in good condition. Although automatic pool covers can hold thousands of pounds of weight, it is important to understand that these covers are technically not winter covers. In the Midwest, 8 inches of snow in a day is not out of the norm at all. While inside, there are also a ton of food options for them as they can chew through your ropes, chew holes in your cover, or chew through some of the wires. Unfortunately, this is also a nice, warm, “out-of-the-elements” area for rodents and insects alike to stay warm and nest during winter months. Weather in the Midwest means that half of the year is cold! One of the most important areas of the auto cover is the housing unit which holds the motor and cage mechanism. It is crucial to remove the leaves and loose organic debris, as it can cause staining which can be unsightly. Many customers who do have some shade in their back yard typically get it in the form of trees or bushes. These two products in combination will extend the life of the material by slowing down dry rot. It is crucial to use material cleaner and a UVA/UVB protectant. Although vinyl can handle the sun decently, ultimately the sun will win in this battle and dry rot the material. This can damage the material of the cover, break a glider, or break a rope.Īutomatic pool covers, as stated earlier, are made from vinyl. Cover Off The Tracks – Operating the cover does come with a few basic instructions! One of the most important instructions that all clients must learn is when to stop the cover so you do not open it too far! This is typically done by children or when you are in a conversation and forget to stop the cover, resulting in the cover coming out of the track.Replacement ropes cost $749.99 to replace. Broken Rope(s) – Due to either age or an underlying issue that needs to be tended to, the ropes could potentially break.Just like said appliance, it could be just a surge in power to where the breaker needs to be reset, or it could also mean something more serious Loss of power – Just like any appliance in your home, the breaker could trip, causing the automatic cover to not get any power.Some of the most common problems our customers experience include: Surprise! The cover won’t open/close! We tend to deal with this issue a lot and it seems to happen right before or after a large party! Ugh! There are several reasons that could cause your automatic pool cover not to open. Basic+ – $500, this package includes washing and conditioning as well as checking the cover box for debris and cleaning it as well as the cover track. Basic cleaning – $400, this packages comes with a wash and conditioning. Material Cleaning – This should be done annually as the cover must be washed of debris and conditioned with a UVA/UVB protectant.The following is a list of routine maintenance that must be done to the cover that will make up the lifetime cost. On average, a customer that takes good care of their cover over the course of 10 years can spend close to $5,000.00 in addition to the cost of the initial installation. While automatic pool covers have many great pros, the up-front and lifetime costs together can be even more burdensome. The upfront cost of an automatic pool cover can be overwhelming, averaging anywhere between $15,000.00 – $22,000.00. We never want to hear our customers saying the phrase “I wish you would’ve told me that earlier.” Therefore, in an attempt to help you feel more informed, here are the Top 5 Problems that you may come across with our most popular in-ground pool accessory. After purchasing a larger product such as one of these, we have most likely all felt at one point, buyer’s remorse due to unexpected costs, more maintenance than expected, etc. Every product, whether it be an appliance in your house, a vehicle, or a lawn mower, has problems. Still, it would be wrong to ignore the problems. Here at Royal Pools and More, we do see 98% of our clients use automatic pool covers for reasons of safety, chemical savings, and energy savings. When deciding on a product you are going to purchase, always be sure to research the pros and the cons. ![]() ![]() ![]() In 2024, Thanksgiving Day will be observed on Thursday, November 28th, continuing its tradition as a time for Americans to express gratitude and celebrate their blessings. The holiday has historical roots dating back to the early 17th century but has evolved into a day marked by warmth, generosity, and togetherness. Thanksgiving is also a day for reflection, gratitude, and often volunteering in the community. ![]() Traditionally, it’s a time for gathering with family and friends to enjoy a festive meal, which typically includes turkey, stuffing, and pumpkin pie. It originated as a harvest festival and has become a day of giving thanks for the blessings of the past year, including the harvest. Thanksgiving Day is a cherished national holiday in the United States, celebrated on the fourth Thursday of November. This day offers an opportunity for citizens to acknowledge the dedication and bravery of those who have worn their nation’s uniform. In 2024, Veterans Day will be observed on Monday, November 11th. It’s a day of reflection, gratitude, and respect, marked by ceremonies, parades, and various tributes across the nation. Unlike Memorial Day, which remembers those who died in service, Veterans Day pays tribute to all American veterans, both living and deceased, but especially gives thanks to living veterans who served their country honorably during war or peacetime. It is dedicated to honoring and recognizing the service and sacrifices of military veterans who have served in the U.S. Veterans Day is a significant holiday in the United States, observed annually on November 11th. This day is crucial as it represents the power of the individual’s vote in shaping the nation’s future. In 2024, Election Day will fall on Tuesday, November 5th. It includes voting for positions at all levels of government, from local to national. The essence of Election Day is the celebration of democracy and the involvement of the electorate in the political process. Traditionally held on the first Tuesday following the first Monday in November, it’s a day when citizens participate in choosing their political leaders and voicing their opinions on various ballot initiatives. Lots to look forward to, right? When is Election Day 2024?Įlection Day in the United States is a significant event, marked as the day set aside for the general population to cast their votes in public elections. And let’s not forget, it’s the time for one of the best holidays ever – Thanksgiving! Plus, there are some important days to keep in mind: Election Day on the 5th, Veterans Day on the 11th, and of course, Thanksgiving Day on the 28th, followed by the shopping frenzy of Black Friday on the 29th. ![]() It’s the final call for Fall/Autumn, bringing those cool days and snuggly nights. So, November – the eleventh month and a real gem in Q4 – is rolling in. So go ahead, download this bad boy and get your schedule in tip-top shape from the get-go! November Holidays & Observances Planning all your to-dos and meetings will be a breeze with this handy calendar. ![]() It’s lined up just like your workweek, making it super easy to see what’s coming up and keep everything neat and tidy. Kick off November 2024 the right way with our Monday-start calendar. November 2024 Calendar Monday Start PRINT IT ![]() |
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