In one sentence, describe what the following article is about: In order to lose weight, you'll have to create a calorie deficit. Calories are our body's fuel, and when you eat fewer of them then your body is forced to start burning fat. You can do this by matching your activity level to your diet, your diet to your activity level, or doing a little bit of both (this is the healthiest option of all). This calorie deficit is only temporary. Once you reach your target weight, you should balance your calorie intake with your activity level. A great place to start is by minimizing how much salt, unhealthy fat, and sugar you eat in your diet. Salt causes your body to retain water and bloat, sugar contains inefficient calories that make you more hungry, and fat...well...that doesn't need explaining. Salt is found in canned soup broth, many meats (hot dogs, salami, and bacon, mostly), pizza, chips, and many other foods. Your sodium intake should be less than 2300 mg per day. Don't cut it out entirely, however: salt is necessary for your body to run properly, especially once you start exercising. Sugar is found readily in candy, of course, but you can also find it in many commercial coffees (like Starbucks), soda, and juice. Even eating too much fruit can tip you over on sugar! Unhealthy fats are things like trans and saturated fats, found in red meat, butter, mayo, and fried foods. Healthy fats, such as unsaturated and polyunsaturated fats, are good for you and found in foods like fish and nuts. Eating foods that are rich in nutrients will help make you feel naturally more full from eating less food. Just switching to fruits and veggies won't be enough: there is a world of difference between a celery stalk and broccoli. Nutrient rich grains include oatmeal, quinoa, barley, and brown rice. If you're buying bread, make sure to get whole grain and not multi-grain. Whole grain is the healthier option of the two, with no nutritional benefit over white bread for multi-grain. Nutrient rich vegetables and fruit include lemons, cranberries, bananas, kale, spinach, broccoli, asparagus, and brussels sprouts. The best protein sources are chicken, fish, eggs, nuts and beans. These are low in unhealthy fats, while still containing the protein that you'll need to power through your day and exercise routine. Good dairy products include non-fat plain yogurt (spice it up with fresh fruit), cottage cheese, and non-fat milk. You'll need to not only eat healthy foods; you also have to eat them in the right proportions. You body needs lots of carbohydrates from grains, and lots of vitamins and fiber from vegetables, a certain amount of protein, and much less sugary fruit and dairy. See the official recommendations for how to balance your diet, and avoid fad diets which recommend only eating one or limited food groups. Your body needs all of these food groups in order to stay healthy! Most people eat way too much food at once. Eating too much food stretches your stomach and makes you feel hungry, even when your body doesn't need any more food! Use a side plate instead of a dinner plate in order to help you properly portion your food. If you're still hungry 15 minutes after you finish your first plate, then you can have another half-portion of food. It's important to learn how to communicate with your body. Really analyze how you feel. Are you really still hungry? There's a big difference between feeling full and feeling stuffed, but we can be trained to forget what one feels like over the other through overeating. Avoid restaurants and if you do eat out, ask for a doggie bag. Almost all restaurants serve way too much food in one sitting. Another option is to order just an appetizer. This is usually closer to a healthy portion of food. Eating more often can help you feel less hungry. It's also better for your metabolism, since this is how humans are designed to eat (the gatherer portion of hunter-gatherer). Eat smaller meals more frequently throughout the day in order to help you stick to that lower daily calorie count. For example, eat a small bowl of oatmeal in the morning, a banana around 10am, a turkey sandwich for lunch, a bowl of cottage cheese and a slice of toast for a mid-afternoon snack, and a salad for dinner.
Summary: Create a calorie deficit. Reduce salts, fats, and sugar. Eat nutrient-rich foods. Eat a balanced diet. Eat smaller portions. Eat more often.

In one sentence, describe what the following article is about: The Pythagorean Theorem can easily be used to calculate the straight-line distance between two points in the X-Y plane. All you need to know are the x and y coordinates of any two points. Usually, these coordinates are written as ordered pairs in the form (x, y). To find the distance between these two points, we will treat each point as one of the non-right angle corners of a right triangle. By doing this, it's easy to find the length of the a and b sides, then calculate c, the hypotenuse, which is the distance between the two points. In a typical X-Y plane, for each point (x,y), x gives a coordinate on the horizontal axis and y gives a coordinate on the vertical axis. You can find the distance between the two points without plotting them on a graph, but doing so gives you a visual reference that you can use to ensure your answer makes sense. Using your two points as the corners of the triangle adjacent to the hypotenuse, find the lengths of the a and b sides of the triangle. You can do this visually on the graph, or by using the formulas |x1 - x2| for the horizontal side and |y1 - y2| for the vertical side, where (x1,y1) is your first point and (x2,y2) is your second. Let's say our two points are (6,1) and (3,5). The side length of the horizontal side of our triangle is: |x1 - x2| |3 - 6| | -3 | = 3 The length of the vertical side is: |y1 - y2| |1 - 5| | -4 | = 4 So, we can say that in our right triangle, side a = 3 and side b = 4. The distance between your two points is the hypotenuse of the triangle whose two sides you've just defined. Use the Pythagorean Theorem as you normally would to find the hypotenuse, setting a as the length of your first side and b as the length of the second. In our example using points (3,5) and (6,1), our side lengths are 3 and 4, so we would find the hypotenuse as follows: (3)+(4)= c c= sqrt(9+16) c= sqrt(25) c= 5. The distance between (3,5) and (6,1) is 5.
Summary:
Define two points in the X-Y plane. Plot your two points on a graph. Find the lengths of the non-hypotenuse sides of your triangle. Use the Pythagorean Theorem to solve for the hypotenuse.