C intersects the X-axis at the points A and B. You can be asked to find the coordinates of the points of intersection of a circle with the x-axis.Įxample: C is a circle with centre (0,3) and radius of 5Īnswer: Label (0,3) with h and k. (You could also draw a sketch of the circle on the x and y axis, plot the given point and the centre point, use a ruler to join the point to the centre and continue from the centre to the edge of the circle where you will find (8,-1).) INTERSECTION OF CIRCLES add 5 onto 3 = 8, and ADD the y coordinates i.e. Now ADD the x coordinate of the translation onto the x coordinate of the centre i.e. How far is it from the y coordinate of the point to the y coordinate of the centre i.e. How far is it from the x coordinate of the point to the x coordinate of the centre i.e. What we are doing is finding how far it is from the point to the centre, then going the same distance from the centre to this new point.Įxample: ( -2, 5 ) is a point on the circle (x-3) 2 + (y-2) 2 = 34Īnswer: The centre of the circle is (3 ,2) However, if the centre is not (0,0) and we are asked the same question, then we use a translation to find another point. Putting the point of a compass on the origin (0,0), as this is the centre, stretch the compass to 3 and draw a circle.Įxample: The point (-4,3) is on the circle x 2 + y 2 = 25Īnswer: The centre of this circle is (0,0) ( there are no numbers after the x and y)Īny point with the numbers 4 and 3 in it will be on thecircle. This circle has a radius of 3 ( square root of 9)ĭraw an x and y axis, marking to 3 on each axis, How to draw a given circle:Įxample: Draw the circle with equation x 2 + y 2 = 9 If your figure on the left is greater than that on the right, then the point would be outside the circle. (-2-3) 2 + (6-4) 2 = 36 (put all figures on left into calculator)Ģ9 < 36 therefore the point is inside the circle. To show whether a point is inside, outside or on a circle: Label the given point and sub into the equation of the given circle.Įxample 1: Show that the point (2,-3) is on the circle x 2 + y 2 = 16Īnswer: Labelling the point x and y we see that x=2 and y=-3ġ6 = 16 therefore (2,-3) is ON the circleĮxample 2: Show that the point (-2, 6) is inside the circle Write down the centre and radius of this circle.Īnswer : The centre is (0,0) (as no numbers after the x and y) and as r 2 = 25 then the radius will be 5 which is the square root of 25.Įxample 4: Given the equation of a circle is (x-5) 2 + (y+3) 2 = 49Īnswer: The centre is (5,-3) (The sign is the opposite to what it was insideĪnd the radius is 7 which is the square root of 49. Our Equation is therefore, (x-3) 2 + (y-4) 2 = 6 2įinish by squaring the 6, so our answer is (x-3) 2 + (y-4) 2 = 36Įxample 3: Given the equation of a circle is x 2 + y 2 = 25 We label the centre (h,k) so h=3 and k=4 and sub into the Formula. This circle has numbers at its centre, therefore we use Formula 2. We simply write Formula 1 and replace r 2 with 4 2Įxample 2: A circle with centre at (3,4) and a radius of 6: write its equation. This circle has centre (0,0) so we use Formula 1. There are 2 types of question you can be asked: one in which you are given the centre and radius and asked to write the equation of the circle and another where you are given the equation and asked to write down the centre and radius of the given equation.Įxample 1: A circle with centre (0,0) and a radius of 4: write its equation. What does it mean then, if your quadratic that you end up with has 2 solutions? or 1 solution? or no solutions?Well, it would mean that the line goes straight through the circle, or just touches it (is a tangent), or doesn't intersect it at all.FORMULA 1 : Used for a circle which has a centre of (0,0) and a given radius.įORMULA 2 : Used for a circle which has a centre of (h,k) (which means it has numbers, not zeros) and a given radius. When you solve these simultaneously algebraically, you are really finding where the graphs intersect!So, if you were to solve them simultaneously you would end up with a quadratic (either in terms of x or y depending on what you substitute) - but hang-on. It is the part under the square root sign, in other words it can't be negative or there are no real solutions to your quadratic equation.We also know that if it equals 0 there is 1 repeated solution, and if it is greater than 0 then there are 2 distinct solutions.So how does this all relate to coordinate geometry?Well, remember how you can talk about solving equations as the intersection of curves/lines? For example solving 2x = 3x+ 4 could be interpreted as finding the intersection of the line y = 2x and the line y = 3x + 4.So now say you had a circle and a line. Where does the discriminant come from? It is from the quadratic formula.
0 Comments
Dec 18 Living as a Real Life “Hannah Montana” – An Interview with Virtual Singer KAF.Dec 19 The Most Popular Anime Series According to Netflix's Data Drop.Dec 19 VShojo's Ironmouse is Crowned VTuber of the Year.Dec 20 The Moment That Undead Unluck's Yoshifumi Tozuka Decided to Create Manga.Dec 20 Japanese Band Atarayo's Song '「I am.」' Selected as Anime Series ‘ The Dangers in My Heart’ Season 2 Opening Theme Song.Dec 20 Brutal Action-Fighting Game DNF Duel Available for Free on Epic Games Store.Dec 20 Sanrio Characters Invade Ni no Kuni: Cross Worlds in Epic Holiday Update.
However, when it comes to simple operations, they are usually done mentally.ĭo not miss this collection of more than 20 arithmetic books in PDF format, we are sure you will find them very useful and you will be able to achieve your goal of study and research. Nowadays, arithmetic calculations are made easier with the help of calculators. It also delves into some more complex ones such as nth root -an archaic term for the operation of taking nth roots is radication- (finding the n root of a number), exponentiation (raising one quantity to the power of another) and logarithm (the inverse function to exponentiation). In its etymology one can clearly see its definition.īut the basic operations are not the only ones that arithmetic deals with. 35 31 27 23 Write down an expression, in terms of n, for the nth term of the sequence. 18 Here are the first four terms of an arithmetic sequence. 21 27 33 39 45 Write down an expression, in terms of n, for the nth term of the sequence. The word arithmetic is a compound word that comes from the Greek “arithmos” meaning “numbers” and “tiké” meaning “art” or “craft”. 19 Here are the first five terms of an arithmetic sequence. Since we know that you recognize that value, we can’t help but recommend that you take a look at our arithmetic books.Īrithmetic is the area of mathematics that studies numbers and basic operations, such as addition, subtraction, multiplication and division. Since then, the contribution of this branch of mathematics has been unparalleled. Euclid (also known as the father of geometry) and Nicomachus of Gerasa, classified as neopythagorean, are considered great exponents of arithmetic at that time. In that historical period mathematics regained a new relevance, awakening more and more interest in its study. Understanding this, we have created a collection of arithmetic books in PDF format, so that you have access to the wonderful world of numbers and can expand, refresh or teach this knowledge to others.Īrithmetic has its origins in ancient Greece. Everyone, in one way or another, must master the basic operations to have an accurate understanding of countless everyday aspects. The 7 Habits of Highly Effective People is a comprehensive program based on developing an awareness of how perceptions and assumptions hinder success-in business. If you enjoyed books like The 7 Habits of Highly Effective People, The 52 Lists Project, or The High Performance Planner , you’ll love The 7 Habits of Highly Effective People Guided Journal. Other books he wrote include 'First Things First', 'Principle-Centered Leadership', and 'The Seven Habits of Highly Effective Families'. Featuring thought-provoking prompts, worksheets, and self-development quotes that teach you how to achieve your goals, this is the ultimate guided self-growth journal. The 7 Habits of Highly Effective Families: Creating a Nurturing Family in a Turbulent World Paperback Import, 15 September 1998 by Stephen R. Covey presents a holistic, integrated, principle-centered approach for solving personal and professional problems. In The 7 Habits of Highly Effective People, author Stephen R. (19,262) Only 1 left in stock - order soon. Each habit is broken down into a weekly format inspiring both beginners and seasoned 7 Habits readers to get motivated, build confidence, and boost inspiration and personal growth.Ĭultivate success, skill, and self-growth. There is a newer edition of this item: 7 Habits of Highly Effective People: Powerful Lessons in Personal Change. Its concise format is accessible and easy to stick with. Now, this companion journal gives readers a chance to craft inspiration into action. Covey’s time-tested principles in a whole new way. In his first major work since The 7 Habits of Highly Effective People, Stephen R. When The 7 Habits of Highly Effective People was released as a card deck, audiences approached Stephen R. How do you manage your time and stay organized? Whether you’re struggling to stay motivated or are looking for new high-performance habits, The 7 Habits of Highly Effective People Guided Journal offers journal prompts, worksheets, and exercises to help you accomplish all your short and long term goals. The 7 Habits of Highly Effective Families’ workshop is an engaging, family-strengthening programbased on Stephen R. #1 New Release in Strategic Business Planning Without any doubt, we are all fully aware of the turbulent times we live in. 1 Bestsellers The 7 Habits of Highly Effective People and The 7 Habits of Highly Effective Families. “If you follow this simple process, I promise that you will see positive changes in your relationships and find a higher level of personal satisfaction in your life.” ― Sean Covey, author of The 7 Habits of Highly Effective Teens The 7 Habits of Highly Effective Families’ workshop is an engaging, family-strengthening programbased on Stephen R. Once Hercules completed every one of the labors, Apollo declared, he would be absolved of his guilt and achieve immortality. He ordered Hercules to perform 12 labors for the Mycenaen king Eurystheus. Guilty and heartbroken, Hercules tracked down Apollo, the god of truth and healing (and another of Zeus’ sons), and begged to be punished for what he had done.Īpollo understood that Hercules’ crime had not been his fault-Hera’s vengeful actions were no secret-but still he insisted that the young man make amends. When her stepson was a young adult, she cast a kind of spell on him that drove him temporarily insane and caused him to murder his beloved wife and their two children. The infant Hercules was unusually strong and fearless, however, and he strangled the snakes before they could strangle him.īut Hera kept up her dirty tricks. Then, after Hercules was born, Hera sent two snakes to kill him in his crib. (Perseus, who was also said to be one of Zeus’ sons, famously beheaded the snake-haired Gorgon Medusa.)ĭid you know? The constellation Hercules is the fifth-largest one in the sky. According to legend, his father was Zeus, ruler of all the Greek gods on Mount Olympus and all the mortals on earth, and his mother was Alcmene, the granddaughter of the hero Perseus. That dung in the Augean stables is symbolic of the foulness of humanity – something Jonathan Swift, if his fourth book of Gulliver’s Travels is anything to go by, would probably agree with.Hercules was not a god but was born a mortal, although, like many mythic heroes, he had a complicated family tree. Heraclitus argued that each of the labours represents some aspect of man: the Erymanthian boar is man’s ‘incontinence’ or intemperance, the Nemean lion represents man’s determination to rush towards the wrong goals in the pursuit of something, the hind of Ceryneia represents cowardice, and so on. At many points in the twelve labours, he looks set to fail, be thwarted, or even be killed, but – like Odysseus making his way home from the Trojan Wars – he always manages to succeed, despite the problems he faces in a particular quest.īut did the Labours of Hercules hold a deeper symbolism? They have been subjected to allegorical interpretation and analysis, perhaps most famously by Heraclitus the Grammarian, a first-century thinker who wrote a commentary on Homer, among other things. Heracles is a classic example of the hero who triumphs against the odds. Some of the voyages take him months to undertake, and it’s only the main details which we remember from the labours but the early compilers of the myths describe the specific details of Hercules’ numerous journeys across land and sea as well as the apple-stealing and lion-slaying. Hercules (or Heracles in the original) is the consummate Greek hero: strong, fearless, cunning (perhaps it’s only Odysseus who outdoes him for wit and wiles), and a man of action who manages to complete every single one of his twelve labours, despite the various hardships and setbacks he faces. In some accounts, however, Hercules didn’t require Atlas’ help and slew the dragon and made off with the golden apples himself. Atlas, clearly not the brightest of Titans, agreed, whereupon Heracles strolled off with the apples Atlas had retrieved for him. He tricked Atlas by initially agreeing to the request, but asking that Atlas take the heavens back onto his shoulders for just a moment while Heracles adjusted his cloak (or added a cushion behind his head). When Atlas came back, he declined to take back the heavens onto his own shoulders, but Hercules was having none of this. Hercules tricked Atlas into retrieving some of the golden apples for him, while he offered to help shoulder Atlas’ burden (shouldering the heavens). The Garden of the Hesperides belonged to Hera, who put them under guard, the guard being a fearsome dragon with a hundred heads (yet another monster that was one of Echidna’s offspring). The last of Hercules’ twelve labours is also one of the more famous, even though it sounds essentially like the ancient Greek version of scrumping apples (or oranges, as the case may well have been). Stealing the Golden Apples of the Hesperides. After he had shown Cerberus to Eurystheus to prove he had completed the task, he returned the dog to Pluto. Hercules eventually managed this, and brought the dog back up to the land of the living with him. Pluto, the god of the Underworld, agreed to give Cerberus to Hercules, if he could train the dog without using a weapon. For his next labour, Hercules had to travel there to find Cerberus, the three-headed dog. No epic adventure story from classical antiquity would be complete without a descent into the Underworld. Fetching the dog Cerberus from the Underworld. Now, CyberLink has announced the latest and most sophisticated version, PowerDirector 12 Ultra that features more than 100 video editing tools and 400 built-in effectsĬyberLink PowerDirector 12 Ultra includes the innovative features to create studio-quality videos that are found only in highly priced top-notch video editing applications. It is simple, easy to use, economical and powerful software packed with stunning features and effects. It is one of the most acclaimed video editing platforms available today. Here, the CyberLink has been helping the enthusiasts with their award-winning software, the CyberLink PowerDirector to create, edit and produce professional quality videos. I know this is not lossless 5.1 but it is 5.1 and to my ears DTS 5.Capturing videos can be simple, especially with the new-generation digital devices, but making a beautiful and polished film out of it can be painful. PowerDirector lets you realize your creative ideas, turning them into artworks you’ll really want to share. It may also store private data such as passwords. Video Editing Tutorial Cyberlink PowerDirector 12. In my case I don't need any video (I just placed the album cover art as the video - when my car is moving the Video is blanked, only sound continues when playing DVD-V). PowerDirector is just as powerful an editor as Avid Studio but more intuitive to use and much faster when rendering a final mp4 file. CyberLink PowerDirector 12 may store excess, temporary data on your computer that can take up valuable space. In my case I just want to 'Insert disc and it plays').Īlso the 30 day trial is fairly feature complete, so you can author DVD-Vs with 5.1 DTS for playback as it burns directly to disc. (You can also create Blu-ray Discs, import DTS and DD tracks from DVD and Blu-Ray, assuming it does not have DRM. You can add your own video in PAL or NTSC, add JPEG photos etc too. Cyberlink PowerDirector 12 PDF Instrukcja Obsugi po polsku. It has a time-line editor so tracks can be trimmed, for example to remove talking during concerts videos etc. The best feature of using PowerDirector 12 is that it accepts single 5.1 WAV files, it does not require 6 individual channel WAVs. This is limited to 5.1 at 48/24 1536kbps, the normal DVD DTS standard. I found this:Ĭyberlink PowerDirector 12 Ultra (and other PD 12 products) include 'DTS 5.1 Producer' which is licenced from DTS Inc. Microsoft Windows 10 (64-bit) View All (2) 3 REPLIES 3. So went on a discovery mission to find easiest way to convert my many 5.1 music discs (already in 5.1 FLAC for my media player) to DTS-V discs. I lost my Cyberlink PowerDirector 12 on my hp PC is there a way to recover this program it was very useful to me Tags (2) Tags: 23-q214. With Body Effect, you can add mesmerizing visual effects like beams and flames to the subject’s body or its background. Our latest AI features, Body Effect and Anime Effect, are the perfect way to elevate your videos to the next level. I recently discovered my Audi could play DTS 5.1 from DVD-V discs - see 'Cars with Factory Surround Systems' post: PowerDirector The best full-featured video editor and video maker. PowerDirector 12 is a comprehensive video editor which is also extremely easy to use, and supports many different ways to present and share your media. We recommend that you do not rely solely on the information presented and that you always read labels, warnings, and directions before using a product.ĭistributed by: C&A Marketing, Inc. Legal Disclaimer: Actual product packaging and materials may contain more and different information than what is shown on our website. All other products, brand names, company names and logos are trademarks of their respective owners, used merely to identify their respective products, and are not meant to connote any sponsorship, endorsement or approval. microSD is a trademark of SD-3C LLC in the U.S. ZINK, Zero Ink, and the ZINK logo are trademarks of ZINK Holdings, LLC, registered in the U.S. , Drivers and Software updates for TVs, Monitors & Projectors. PRINTOMATIC is a trademark of C&A IP Holdings, LLC in the U.S., the European Union and the United Kingdom. NOTE: This Onn projector now supports 1080p playback with the new latest firmware update. Tip: The System update screen displays the current software and build version, along with the date and time of the latest. Select Check Now to manually check for updates. The Kodak trademark, logo and trade dress are used under license from Kodak. Follow the instructions below to manually check for software and app updates. NOTE: Before upgrading, make sure the projector is at least 50% charged or plugged in. If there is, you will be able to install it from that page. Tap the ‘Upgrade’ option on your mobile browser to check if there is new software found. Once you switch to the same network as the projector, open your device’s internetīrowser and enter the new URL that is displayed on the projector screen. Open your device’s wireless settings, and connect to the same wireless network as the projector.Ĭ. After the projector is successfully connected to the internet, a new dynamic URL will be generated in the screen of projector in the format of: ī. If you have connected successfully, there will be a Wi-Fi router icon displayed on the projector screen.Ī. Tap the ‘WIFI AP’ option from your mobile browser and select your home wireless network to connect the projector to the internet. The browser should display two options, to adjust the wireless access points, or to upgrade the wireless software.Ī. Once you’re connected to the wireless network, open your device’s internet browser and enter the following URL to adjust the settings: 192.168.49.1Ĥ. Select that network and enter the password (12345678).ģ. Open your device’s wireless settings, and you should see a secure wireless network with the KODAK-XXXXXX name. It will be KODAK-XXXXXX (where all the X’s are integers between 0-9) and the password will be 12345678.Ģ. The name of the device and the password to connect to it will appear at the top of the screen. Turn on the projector and select the menu option, Wireless. Follow these instructions to connect to the hotspot:ġ. To upgrade the wireless software on this projector, you’ll need to connect to the projector’s hotspot while it is in wireless mode and proceed from there. If you don’t yet have a Microsoft account, see How to create a new Microsoft account. If not, you’re logged in with a local account. If an email address is displayed, this is a Microsoft account. Ĭonfirm that the administrator account is also your Microsoft account by checking to see if an email address is displayed above Administrator. If you’re not an administrator, see Create a local user or administrator account. Under your name, you’ll see Administrator. To confirm you're using an administrator account, select the Start button, then select Settings > Accounts > Your info. Sign in as an administrator to add your Microsoft account. To link your Microsoft account, follow these instructions: If you have purchased a license for this device already and still receive an error message, continue to Methods of activation. If you need to purchase a license for your device, see "Purchase a Windows 11 license." You might need to purchase Windows 11 to activate. You will see an error message explaining the failure. Your Microsoft account is already linked to your digital license. Windows is activated with a digital license linked to your Microsoft account Your Microsoft account is not linked to your digital license. Windows is activated with a digital license You'll see one of these activation status messages on the Activation page:įollow instructions in Linking your Microsoft account. Your activation status will be listed next to Activation. To check activation status in Windows 11, select the Start button, and then select Settings > System and then select Activation. To reach Sugar Loaf, you’ll need to hike, or bike, along a dirt path called Sugar Loaf Road for maybe a half mile. But in fact, the tower of rock likely stands so tall because the lake waters once washed away all of the rock surrounding it thousands of years ago-just Sugar Loaf remained strong enough to withstand the erosion. Sugar Loaf rock rises out of the forest like a crashed meteor. You can also take the lake path, M-185-but be prepared for 207 stairs up (and 207 stairs down). But if you’re on bike, cut through the island via Rifle Range road. There are multiple ways to reach Arch Rock. Once you step out as far as possible on the platform, a breathtaking view awaits. Tree life grows on flatter parts of the formation, and you can climb out onto a platform along its sides to peer across top. Standing 147 feet above Lake Huron and framing a view of the water through a perfect oval of suspended rock, it may be Mackinac’s most famous rock formation.Īrch Rock formed 7,500 years ago, and it’s still changing. Arch RockĪrch Rock is a postcard window onto the Great Lakes. Whether you tackle them in a day, or spread them out over a vacation, there’s no wrong time to take in the wonder of this island.Īll photos by author unless otherwise noted. A changing climate has also altered the shape of the island, with falling water levels exposing more land over time.Ĭheck out these seven must-see geological features on Mackinac Island. These natural wonders have been formed over millions of years, thanks to the island’s interplay of waves, wind, and ice, which carved out the kinds of rock formations that you’re not likely to find further inland. Located at the intersection of lakes Huron and Superior, the island is sculpted perfectly for geological observation-in other words, it’s a great place to see some awesome rocks, ledges, caves, and crevices. Mackinac Island is the perfect place to forget the world-no traffic, no trouble, ample fudge.īut it’s also the perfect place to connect with the world-as in, the earth under your feet. Arch Rock is just the start of what Mackinac Island has to offer, and some of its best views are removed from the touristy circuit. The Google Play Store app is an essential application for Android users that allows them to browse, download, and update a variety of apps and games on their mobile devices. Double-click the MicrosoftCorporationII.WindowsSubsystemForAndroid_5.0_neutral_~_8wekyb3d8bbwe.msixbundle file. Official app store for Android with a collection of games, games, movies, music, and more.Browse to the folder where you downloaded the Msixbundle file.Search for 7-zip File Manager and click the top result to open the app.To extract the files of the original WSA package to the WindowsSubsystemAndroid folder, use these steps: If an account you added uses HOTP, or if you set the TOTP account to 'require touch', you will first have to tap the credential (and then tap the gold YubiKey contact, if prompted) to display the current code. The process involves extracting and modifying files from the original version of the Windows Subsystem for Android. All current TOTP codes should be displayed. By the end of this post, youll be equipped with the. Since the original version of WSA doesn't allow the Google Play Store, you will need to create a custom version. Android are, how to install CrossOver on Chromebooks, and how to open Windows apps on your device. Create a custom version of Windows Subsystem for Android Once you complete the steps, the setup folders will be created. Name the folder ADBKit and press Enter.Name the folder GAppsWSA and press Enter.Click the New menu and select the Folder option.Name the folder WindowsSubsystemAndroid and press Enter.Source: Windows Central (Image credit: Source: Windows Central) Scrutiny is a Hard Drive Health Dashboard & Monitoring solution, merging manufacturer provided S.M.A.R.T metrics with real-world failure rates. Click the menu (three-dotted button) on the right side.Click the Apps & features page from the right side.To uninstall the original WSA, use these steps: Otherwise, continue the WSL2 installation. Since you cannot run both the original and custom versions of WSA, you will need to remove the original if it's installed on your computer. Furthermore, you have to download a copy of the original Windows Subsystem for Android, OpenGApps, the WSAGAScript scripts, and the ADBKit tools. It's also a requirement to enable Developer mode on Windows 11 and install a tool like 7-zip to extract files. The preparation process includes removing any previous installation of the Windows Subsystem for Android (WSA) from your device and installing the Windows Subsystem for Android and Ubuntu. If this is the case, start over with the instructions until it works. If something isn't working correctly, you probably did something wrong. The instructions below have everything you need to complete this task. The Google Play Store's installation process on Windows 11 requires the setup of various tools running several Linux, Command Prompt, and PowerShell commands. How to install Google Play Store and run Android apps |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |