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Co-ordinate Geometry
Co-ordinate geometry is regarded as one of the fascinating mathematical ideas. Co-ordinate geometry (also known as analytic geometry) is a branch of mathematics that explains the relationship between geometry and algebra using graphs involving curves and lines. Geometric elements are given in Algebra, allowing students to solve geometric problems. It's a form of geometry in which the positions of points on a plane are represented as ordered pairs of numbers. The basics of co-ordinate geometry (also known as Cartesian geometry) and its formulas and derivations are explained here.
Geometry of Co-ordinates
The analysis of geometry managing co-ordinate points is known as co-ordinate geometry (or analytic geometry). It means it's attainable to obtain the length connecting a pair of points, divide lines in m:n ratios, find the middle point of a line, measure the specific areas of the given triangles in the Cartesian plane, and so on using co-ordinate geometry. Certain concepts of Cartesian geometry should be thoroughly comprehended.
What are a Co-ordinate and a Co-ordinate Plane?
You should feel comfortable plotting graphs on a plane using numbers from tables with linear and non-linear equations. The number line, also known as the Cartesian plane, is split into four quadrants by two perpendicular axes, the x-axis (horizontal line) and the y-axis (vertical line).
The four quadrants are mentioned below, along with their respective values:
(+x, +y) in the first quadrant
(-x, +y) is the second quadrant
(-x, -y) is the third quadrant
(+x, -y) is the fourth quadrant
The origin is defined as the point where the axes converge. A pair of values (x, y) expresses the position of some point on a plane, and these pairs are known as co-ordinates.
Cartesian System
Using two perpendicular lines, the co-ordinate system is used to locate a point's direction in a plane. Points are defined in two dimensions as co-ordinates (x, y) with respect to the x and y-axes.
Ordinate and Abscissa
The abscissa is a word that corresponds to a point's perpendicular deviation from the y-axis determined along the x-axis.
The ordinate is the y-coordinate of a position and is the perpendicular distance from the x-axis determined around the y-axis.
Solving Simultaneous Linear Equations
A simultaneous equation is one in which two or more quantities are connected using two or more equations. It consists of a limited number of separate equations. Simultaneous equations are also regarded as systems of equations because they are made up of a finite number of equations for which a general solution is found. To solve the equations, we must first decide the values of the variables concerned.
Simultaneous equations can be overcome in a variety of ways. Substitution, reduction, and the augmented matrix process are three standard methods of solving simultaneous equations. The two simplest methods that can efficiently solve the simultaneous equations to obtain correct solutions among these three methods are:
Method of Elimination
Method of Substitution
Elimination Method for Solving Linear Equations
The coefficients are multiplied with a constant in the elimination process. There are two broad classifications for solving a pair of linear equations in two variables in general. The graphical solution, for example, is a method of solving a pair of simultaneous equations by plotting the graphs for the specified equations.
Substitution Method for Solving Linear Equations
The algebraic approach for solving simultaneous linear equations is the substitution method. The value of one component from one equation is substituted in the other equation, as the name suggests. Therefore, a pair of linear equations are converted into a single linear equation of just one component, which can then be solved quickly.
Plotting of Points in the Plane for Given Coordinates
Any point can be located using a Cartesian co-ordinate system or Co-ordinate system, and that point can be plotted as an ordered pair (x, y) defined as Co-ordinates. The X-axis is the horizontal number line, and the Y-axis is the vertical number line; the point of convergence of these two axes is defined as the root, and the letter O denotes it.
The two-dimensional plane is also regarded as the co-ordinate plane.
The X-axis is labelled XX', while the Y-axis is labelled YY.'
In this chapter, we learned about the concepts of co-ordinate geometry. We studied the Cartesian plane and also learned the method to plot points on a 2D plane.
What are the advantages of utilising the substitution technique?
The replacement process has the advantage of having exact values for the variables (x and y) that refer to the intersection point.
Is it possible to solve a three-variable set of equations using the substitution method?
In general, when solving a three-variable set of equations, we may use either the replacement or reduction approaches to simplify the system to two equations of two variables.
In co-ordinate geometry, what are abscissa and ordinates?
On a line, the abscissa and ordinate indicate the direction of a node. The abscissa is the horizontal value on the X-axis, while the ordinate is the vertical value on the Y-axis.
What is a Cartesian plane, and how does it work?
A Cartesian plane comprises two perpendicular lines called the x-axis (vertical) and the y-axis (horizontal). The ordered pair can be used to calculate the precise location of a point in the Cartesian plane (x, y).
What are the applications of co-ordinate geometry?
Co-ordinate geometry is needed to provide a relation between algebra and geometry by using line and curve graphs.
Pure Arithmetic
Commercial Mathematics


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Q: Show that the full k-shift is totally disconnected Reading from Walkden's lecture notes on Ergodic Theory (https://personalpages.manchester.ac.uk/staff/charles.walkden/magic/lecture03.pdf), in the first two paragraphs of page 6 (i.e. §3.4.3 Bernoulli and Markov measures) it is claimed the following three:
1- Cylinders are open subsets of $\Sigma_k$.
2- Cylinders are closed subsets of $\Sigma_k$.
3- "1" and "2" above reflects the fact that $\Sigma_k$ is totally disconnected.
I want to prove those three claims:
1- Consider some a cylinder $U=[i_0, ..., i_n]_m$ and a point x \in U, say $(..., i_0, ..., i_n, x_0, x_1, ...)$ (Here I consider $\Sigma_k^+$ the full one-sided k-shift. The set of all points $(i_0, ..., i_n, y, x_1, ...)$ for all possible $y$ is an open set containing $x$ since it is a "neighborhood" of $x$ and its intersection with complement of $U$ in $\Sigma_k$ is empty. So $U$ is open and so is $\Sigma_k$. Is my argument correct?
2- Consider the same $U$ and $x$ in Item "1" above. The sequence of points $(..., i_0, ..., i_n, y_0, y_1, ...)$ such that if $y_0=x_0$ then we go on until we arrive at $y_k \ne x_k$ then we decrease or increase $y_k$ to be equal to $x_k$ and each step is a sequence in the sequences that the limit approaches $x$. So $\Sigma_k$ is closed. Is my argument correct?
3- According to the Wiki the singletons are the only connected proper subsets in a totally disconnected space. How is this related to every set being clopen?

redpajama_set_name: RedPajamaStackExchange


Elevate your casual clothing collection with the New Historic tshirt by Vivienne Westwood Anglomania. This stylish design features the label's signature orb and cutlass branding embroidered to the chest, a branding tab to the side seam, short sleeves, and a unique baggy neckline. Complete the look with light-wash jeans and ballet flats for a fashion-forward twist on casual dressing.


Perhaps our favorite world record is "See How Many People Can Do Simultaneous Car Donuts Without Killing Themselves." The current record of 57 simultaneous donuts in Australia was bested and inverted yesterday when 75 drifters pulled off the same feat at Infineon Raceway in Sonoma, California last week.
We could watch this all day.
The Aussies first eclipsed the original record of 29 cars with a bonkers 57, and now some good old American muscle (with a hefty dose of Japanese metal) have eclipsed them by 18 cars.
"That was a blast. With all the smoke and all the cars doing donuts simultaneously," Drifter Calvin Wain tells Bay City News. "I've never seen anything as big as that. That was just a great time."


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What to Do About Coach Q?
Published at 12:29 pm on February 14, 2012
You know it's a hot rumor when the press start asking the players about it. But Monday was the first time the idea of firing Joel Quenneville was broached by the players.
Unanimously they all stood behind their coach. This is always automatic, though. Unless the coach has truly lost the room, the players always stand behind a coach and blame themselves. If they didn't, they could probably forget playing for the rest of the year, and would be seriously soured to any other organization. You're not going to get any interesting answers from a player on that subject.
But there's one quote from Patrick Sharp that I'd like to pick apart: "I know that if something were to happen there would be a lot of unhappy people in this room".
Well, Shooter, that's exactly the point. You should be unhappy. You should be unhappy with the way you've played, unhappy with the way the team hasn't followed any of Q's instructions and unhappy with the results. That's why you fire a coach, to either wake a team up or get them riled against management.
If you were happy at the thought of a firing, then it would already be too late.
And it's easy for Sharp to feel that way. He gets whatever he wants from Q. He plays in all situations. He's an alternate captain. He gets to stay on the wing instead of center where the team probably needs him more simply because he likes it better.
Why wouldn't Sharp love Q?
I bet away from a camera, perhaps at the bar, you might get a different answer from Steve Montador, Andrew Brunette, Michael Frolik, Bryan Bickell, Sami Lepisto, and one or two others. And some of those guys are the ones who will either bring the Hawks up or down. You know what you're getting from the stars, it's what's behind them that makes a team good, bad, or great. And they might have some choice thoughts for the coach who has helped them not do that.
As you might have guessed, Quenneville hit the line juggler again at practice Monday. The Dream Team of Sharp-Toews-Kane has been reunited, with Brunette moving up to play with Hossa and Kruger.
I'm totally in favor of this, I've been calling for Bruno to play with Hossa all year. With Kruger's desire to get to the net and Bruno's playmaking in tight around there, it could actually produce something. As for the rest of the lines, just wait and see.
It won't last.

redpajama_set_name: RedPajamaCommonCrawl


As a part of MFA's "Fit Fam", you'll find women and men in all shapes and sizes as well as ages- we've got new moms to grandmas! We offer group fitness classes to suit all levels. And we offer day, evening and weekend classes to suit your schedule. All classes offer modifications to tailor your workout to your current fitness level. MFA Fitness instructors are here to help you meet your specific fitness goals.


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Australia takes on the undefeated USA - Men's 4x100m Relay
The 4x100 meters freestyle relay is traditionally one of the most expected events in Olympic swimming. The final in Sydney 2000 took that even further.
Side by side, in lanes 4 and 5, teams USA and Australia as the strongest contenders for the Gold medal. The USA had Gary Hall to finish the relay; Australia had Ian Thorpe as its final swimmer. And an arena packed with Australian supporters.
And that wouldn't be the only dispute to look at. Sweden in lane 1, Brazil in lane 2, Germany in lane 3 and Russia in lane 7 all wanted the bronze medal.
100m freestyle, Aquatics, Australia, AUSTRALIA - Sydney 2000 - Swimming 4x100m freestyle relay men (SW/M/411), BORGES, Gustavo, Brazil, BRAZIL - Sydney 2000 - Swimming 4x100m freestyle relay men (SW/M/411), CALLUS, Ashley, DAVIS, Josh, ERVIN, Anthony, FYDLER, Chris, HALL, Gary Jr., JAYME, Carlos, KLIM, Michael, LEZAK, Jason, PEARSON, Todd, PINE, Adam, SCHERER, Fernando, SILVA FILHO, Edvaldo, Swimming, Sydney 2000, THORPE, Ian, TUCKER, Scott, United States of America, UNITED STATES OF AMERICA - Sydney 2000 - Swimming 4x100m freestyle relay men (SW/M/411), WALKER, Neil, 4x100m freestyle relay, Men,
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Scenic 247 Cuffless Toque with acrylic outershell and polar fleece lining. Black with tan GMC logo. One size fits all.
The Green Mountain Club is the founder and maintainer of the Long Trail - the oldest long distance hiking trail in America. Established in 1910 to build this trail stretching the length of Vermont, the club is a non-profit with more than 10,000 members and reliant on more than 1,000 volunteers annually.
According to the first Long Trail Guide in 1917, "The Green Mountain Club ws organized in 1910 for the purpose of bringing the mountains closer to the life of the people, not only of Vermont, but of the entire country. It is building the Long Trail over the Green Mountains from Massachusetts to Canada, affording a high, scenic, mountain pathway where everyone may enjoy health and recreation at a reasonable expense.


It's been a long time coming . . . .
Grand Hyatt Baha Mar will begin accepting reservations for guests arriving May 29, 2017.
Set on the tropical retreat of Nassau and situated on the coveted stretch of New Providence, Grand Hyatt Baha Mar combines an effortless luxury ambiance with Bahamian-inspired design and hospitality in a beautiful resort setting.
The oceanfront oasis has direct beach access to the resort's Beach Sanctuary, water sports and seven pools, as well as Bahamian art featuring local artists, upscale retail shops and nightly live entertainment.
When fully operational, Grand Hyatt Baha Mar will offer 1,800 ocean, fountain and island-view guestrooms, including 230 luxury suites with some of the region's most modern amenities.
Enjoy creative world cuisines at the 40 incredible restaurants, bars and lounges throughout the Baha Mar resort, inspired by acclaimed chefs from across the world.
Experience a fresh culinary adventure at Grand Hyatt at Baha Mar's fine dining seafood restaurant, serving local Atlantic catch with a Caribbean twist.
Guests will have the opportunity to enjoy a wide range of services within the expansive Baha Mar Resort, including: a 30,000 square feet ESPA Spa; Jack Nicklaus Signature Design golf course; state-of-the-art tennis courts and facilities; and the Baha Mar Convention, Art and Entertainment Center. Many of these amenities are operational today.


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Q: Clone Subversion branches to Git I am trying to clone part of a very old Subversion repo (started 15 years ago).
This is the layout:

I would like to import all folders from Users as branches to Git, with history.
Tried the following:
git svn clone specific branches and merge
But I get the following:

Branches are not imported.
UPDATE
Is there a way to detect branches?
Not all branches are directly below Users, some have more folders hierarchy.


Have you ever suspected that you are being watched? Maybe you are worried about creeps capturing videos of you without your consent. The Hidden Webcams Blocker can help. It disables spy cameras and hidden microphones. It could be useful for businesses and regular homes. The WB15 Hidden Webcams Blocker could protect your privacy. Just make sure you know your state rules before picking one up.


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Q: Перестал работать PjAX .Yii2 Здравствуйте, у меня небольшая проблемка возникла. Я решил сделать , чтобы можно было вводить дату в форму с помощью виджета Jquery datepicker . Получилось реализовать, но после этого перестал работать PJAX (информация добавляется и удаляется , но теперь с подгрузкой страницы. Если вам не сложно, помогите разобраться . Вот мой код
 <?= $form->field($model, 'date')->widget(\yii\jui\DatePicker::class, [
            'language' => 'ru',
            'dateFormat' => 'yyyy-MM-dd',

        ]) ?>
<?php Pjax::begin(['id'=>'salaryGrid', 'enablePushState' => false]); ?>
    <?= GridView::widget([
        'dataProvider' => $dataProvider,
        'filterModel' => $searchModel,
        'columns' => [
            ['class' => 'yii\grid\SerialColumn'],

            ['attribute'=>'worker_id_f','value'=>function($model){return $model->workerIdF->full_name;},'filter'=>app\models\Worker::getWorkerList()],
            'premium',
            'fine',
            'date',

            ['class' => 'yii\grid\ActionColumn',
                'template'=>'{delete}',
                'buttons' => [
                    'delete' => function ($url) {
                        return Html::a('', '#', [
                            'title' => Yii::t('yii', 'Delete'),
                            'aria-label' => Yii::t('yii', 'Delete'),
                            'onclick' => "
                                if (confirm('Вы уверены,что хотите удалить запись?')) {
                                    $.ajax('$url', {
                                        type: 'POST'
                                    }).done(function(data) {
                                        $.pjax.reload({container: '#salaryGrid'});
                                    });
                                }
                                return false;
                            ",
                        ]);
                    },

                ],],
        ],
    ]); ?>
    <?php Pjax::end(); ?>
<?php $script=<<< JS
$('form#{$model->formName()}').on('beforeSubmit',function(e) {

    var \$form=$(this);
    $.post(\$form.attr("action"),\$form.serialize())
    .done(function(result){
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                $.pjax.reload({container:'#salaryGrid'});

           })
            .fail(function() {
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            })
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JS;
$this->registerJs($script);
?>


Spinal cord injuries are among the worst our clients have suffered. They can be as serious as certain brain injuries in incapacitating victims. The spinal cord runs within the spine, with little protection. In fact, certain injuries cause the spine's vertebrae themselves to impinge on or damage the nerves constituting the spinal cord.
If you or someone you love has suffered injury to the spinal cord in a car accident or other incident, you are probably worried, in great pain, or even paralyzed. Be sure to get the best medical care possible, and contact Whiteaker & Wilson, to inquire about compensation if your injury could possibly be the fault of another person or company.
The effects of a spinal cord injury vary widely. A critical factor is where along the spine the damage has occurred. Nerve signals impeded closer to their origin in the brain will not reach any organ past that point. Severe damage lower along the spine can also cause partial or permanent loss of function, including use of the legs.
Why retain Whiteaker & Wilson,? There is a lot at stake. We are aware of what you are going through. You should focus on your physical recovery without worrying that your legal case will be mishandled. Our combination of extensive personal injury experience and sincere care for injured people adds up to a long record of success in spinal cord injury cases.
We work on contingency. That means you pay attorney fees only if your case is successful. For a free initial consultation with a Ozark back injury attorney, call us in Missouri at 417-413-5858 or send us an e-mail.


BREAKING NEWS: Strategen to join forces with major national firm JBS&G Australia through a merger to occur in July 2019.
We're excited to announce our new partnership with JBS&G Australia, commencing in July 2019. As a new combined entity, our merger will bring together some of Australia's leading experts within the environmental industry, allowing us to offer a broader range of services to our clients across the country.
The merger will see Strategen join JBS&G Australia's team creating a total workforce of more than 200, bringing together some of the leading experts in the industry. Not only will this add depth of experience to Strategen's capabilities in WA, especially in contaminated sites, approvals and stakeholder engagement, it also allows the combined firm to offer a broader range of services to its clients across the country.
Strategen CEO Darren Walsh says they are excited to be joining forces with JBS&G and expanding their ability to continue to deliver leading, trusted and respected services to their clients. "This merger will enable us to build on our 25-year track record of delivering results for some of Western Australia's most important projects and we are delighted to be enhancing our ability to meet client needs through this partnership".
"Our new combined firm positions us to service our clients in WA with a far superior depth and strength, and also allows the provision of Strategen's range of services to JBS&G's clients throughout Australia".
"We are proud to remain privately owned; and this new merger will solidify us as one of the largest, independently owned environmental consultancy firms within Australia".
Current Strategen CEO Darren Walsh will retain a prominent role in the WA business, becoming an Executive Director of the combined firm and continuing to work with the team in WA to ensure exceptional levels of service and outcomes to clients. Current Strategen General Manager Tim Bowra will become the WA Managing Principal.
Current JBS&G CEO Andrew Lau will continue at the helm of the expanded JBS&G business.
Mr Lau says bringing together the two strong, complementary businesses will help drive growth and increase their overall competitiveness.
"Strategen's technical expertise and track record of success in securing complex environmental approvals is a perfect fit for JBS&G and will help us continue to deliver unmatched expertise to our clients".
"We are bringing together some of the brightest minds and best people in the industry, with unmatched experience on some of Australia's largest and most significant projects".
"This will enable us to continue to deliver fast, capable expertise to our clients and expand the breadth of services we deliver, particularly to Western Australia in the land development, infrastructure, mining, renewables and oil & gas industries".
Strategen will in part retain its trading name in Western Australia, becoming Strategen-JBS&G from July 2019. The JBS&G WA team will relocate to Strategen's offices in Subiaco in June 2019.
JBS&G is a long-established environmental and approvals consultancy with offices in Sydney, Melbourne, Perth, Adelaide, Brisbane, and Wollongong. Our team of experienced professionals are fast, capable experts focused on solving problems and delivering the best outcomes for our clients. With over 150 employees, JBS&G has one of the largest teams of regulatory approvals, contaminated site, occupational hygiene, and engagement professionals in Australia. We're proudly 100% Australian owned with an employee ownership model.
Together with our clients, we investigate, design and implement solutions to complex environmental problems. Addressing legacy issues from previous generations one project at a time, we create better places for future generations to work, live and play. Our experienced approvals experts and engagement specialists deliver large mining, property and infrastructure projects in sensitive environmental and social settings in a manner that addresses client, regulatory and community expectations.
To learn more about the services of JBS&G click here.


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Investing in Community Change: An Evaluation of a Decade of Data-Driven Grantmaking
Lois Greco, Maggie Grieve, Ira Goldstein
The Foundation Review, Vol. 7, Issue 3, 2015
As part of an issue focused on place-based philanthropy, this article discusses Success Measures and The Reinvestment Fund's joint evaluation of the Wells Fargo Regional Foundation's ten years of grantmaking and related programs in low-income communities in eastern Pennsylvania, Delaware, and New Jersey. The findings, following the examination of 140 grants designed to improve the quality of life for families and children in the region, helped the foundation reaffirm its mission, revise some programmatic components, and contributed to its new strategic plan
NeighborWorks of Western Vermont
Housing, Revitalization
Success Measures® at NeighborWorks® America
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© Neighborhood Reinvestment Corporation. All rights reserved.
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