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What is a linear pattern?

An example is a line of the form y = mx + c, with (x, y) coordinates (1, 5), (2, 7) and (3, 9). In the example, the difference between the x coordinates of any two consecutive terms is 1, as given by 2 - 1 or 3 - 2. Similarly, the difference in the y coordinates is 2 (7 - 2 or 9 - 7). Based on observation, it’s possible to predict any other possible coordinates of the linear pattern. For example, the next coordinates after (3, 9) are (3 + 1, 9 + 2) or (4, 11). It’s also possible to identify a mathematical relationship between the x and y coordinates of a linear equation with points (1, 2)..

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What is the reverse triangle inequality?

Euclid proved the triangle inequality for distances in plane geometry. In a right-angled triangle, the length of the longest side, or hypotenuse, is greater than the length of the other two sides but is less than their sum. Triangle inequality is a defining property of norms and measures of distance.

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How are graphs used in the real world?

Medical graphs are used to collect information about patients, such as graphs showing a 1 to 10 pain scale for patients after surgery. These charts can help doctors and nurses quickly assess the effectiveness of pain medications and help doctors determine when to adjust medications as needed for a patient's comfort.In business, charts are used to collect and present data used to evaluate the effectiveness of sales campaigns and to assess other aspects of daily business functions, such as comparing expenses to revenues earned.

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What is a reciprocal in math?

To find the reciprocal of a given fraction, simply invert the fraction’s numerator and denominator. This means a fraction’s numerator becomes its reciprocal’s denominator, and its denominator becomes its reciprocal’s numerator. Obtain the reciprocal by flipping over the original number.\nTo get the reciprocal of a mixed number, first convert it into an improper fraction so the numerator and denominator can be interchanged. For example, to find the reciprocal of 3 ¼, rewrite it as 13/4. Then reverse the numerator and denominator to get the reciprocal, 4/13. Using reciprocals becomes ne..

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What is the associative property?

Addition and multiplication are not the only mathematical functions that have the associative property, but they are the most commonly used. The associative property can also work on logical operators, for example, taking the union or intersection of multiple sets. Some common mathematical operations that are not associative are subtraction, division and taking the cross products of vectors.

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What is factored form in math?

To put an equation in factored form, find the largest common factor. For the expression of 2*y+6 for example, the largest common factor is the constant 2. Factoring out the 2 yields a reduced expression of 2*(y+3), which would yield the original when expanded. Since there are no further factors, this expression is now in factored form.

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Where can you study second grade math online?

IXL.com provides a comprehensive listing of second-grade math concepts with links to an online lesson for each concept. Users complete a series of questions and then receive a score after the questions are completed. AdaptedMind.com offers more than 200 interactive lessons that start at a basic level and then move up as the user demonstrates mastery. SoftSchools.com provides math games, many of which are customizable, as well as online worksheets for studying second-grade math concepts.

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What are three undefined terms in geometry?

Space is the biggest set in geometry. All other sets are subsets of space. Points, lines, planes, angles and rays are all subsets of space. A point is dimensionless and hence cannot be physically represented on paper. However, for the purpose of the study of geometry it is represented by a dot on paper.\nA line does not have width, and it is infinite in length. Again, this makes it impossible to represent an entire line on paper. A plane has no thickness and no boundaries. It stretches indefinitely in all directions. It is represented on paper as a four sided closed figure.

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What is a fact family in arithmetic?

Fact families illustrate number relationships and the conceptual relationship between addition and subtractions which can be demonstrated in four different equations. Using 3, 5 and 8 as examples, the equations are:3 + 5 = 8 and 5 + 3 = 8. The numbers can be added up in either order and the sum remains the same8 - 5 = 3 and 8 - 3 = 5. Subtracting one of the original numbers from the sum results in the third numberGiven two numbers, two fact families can be built. Using 5 and 7 as an example, the third number can be found by either addition or subtraction.5 + 7 = 12 or 7 + 5 = 12, resulting in ..

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In mathematical terms, what does "factor" mean?

Another way to define a factor is to multiply two or more numbers together to produce a larger number. All of those smaller numbers are factors of the product. A factor is also a divisor of a product, meaning the larger number is divided by the smaller an exact number of times.\nPrime numbers have two factors, the prime number itself and one. Two is a prime number because two and one are the only numbers that multiply together to make two. Seven is a prime number because one and seven are the only numbers that produce seven as a multiple.\nFactoring large whole numbers has a practical use in c..

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