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How do you find perpendicular lines?

To demonstrate this, suppose you are given the following formulas for lines: y1 = -2x + 6 and y2 = 0.5x + 3. The first step in determining whether the given lines are perpendicular is to decide the slope of each line. Using the formula for a line, y = mx + b, where the value of m is the slope of the line, for the two lines given above, the slopes are -2 for y1 and 0.5 for y2. The second step is to multiply the two slopes together. Multiplying -2 and 0.5 gives -1, which indicates that the two lines are perpendicular.\nMore generally, if m1 and m2 represent the slopes of two separate lines, in a..

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What are some retailers that sell the TI-81 graphing calculator by Texas Instruments?

The Texas Instruments TI-81 was first introduced in 1990 and has since been superseded by the newer calculators TI-82, TI-83 and TI-84, therefore it is no longer manufactured and not available new.\nThe TI-81 is available used, albeit indirectly, through Amazon.com and eBay. Using Amazon.com, a purchaser can order through a number of different third-party merchants that sell the TI-81 in used or refurbished condition. Some of these merchants have Amazon.com storefronts but do not have their own websites and therefore don’t offer goods for sale except via Amazon.\nBecause eBay is an online au..

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What is the prime factorization of 160?

The method used to perform prime factorization for numbers is to divide the given number by prime numbers until all prime factors are found. The process entails successive divisions and often requires starting this division process with the smallest prime number. For example, the number 160 is divisible by the smallest prime number, which is 2. This division is given as 160 = 2 x 80. The number 80 is then divided by 2 again and the factorization becomes 160 = 2 x 2 x 40. This process is repeated until the result is 160 = 2 x 2 x 2 x 2 x 2 x 5. Exponential form is useful to express prime factor..

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What are some real-life examples of trigonometry?

Trigonometry's earliest applications had to do with spheres, but it has had more contributions to work with lanes. Surveyors have long used trigonometry in establishing property lines and boundaries, and military and construction engineers have long used trigonometry in their design and building of projects.\nIn terms of physics, statics and optics were the first fields to put trigonometry to use, but because trigonometry assists researchers in understanding the way that space works, just about all of the subsidiary fields of physics use trigonometry as well.\nOther areas of mathematics a..

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What is the Mathway math problem solver?

The math problem solver by Mathway solves problems in basic math, algebra, geometry, trigonometry, calculus, statistics, finite math, chemistry and related variations. It is also possible to perform graphical analysis using the Mathway problem solver. The user enters the problem in the set syntax and waits briefly for the calculator to process. The step-by-step solution finder helps users understand the process of solving complex math problems.

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Where did algebra come from?

The ancient Babylonians and Greeks also had methods for solving equations with unknown quantities. The 2nd century Greek Diophantus continued the Greek tradition with his work "Arithmetica;" however, he had no generalized method for solving equations. After the fall of Rome, progress in the development of algebra continued in India, Egypt and Iraq (then known as Persia).\nHindu mathematicians were the first to discover that quadratic equations have two roots. Islamic math was influential in the development of Western European mathematical techniques. Knowledge of algebra trickled into Europe s..

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Why do most calculators round to the nearest cent?

To round a number to the nearest cent, round the number to the nearest hundredth. First, identify the digit in the hundredth location. For example, in $4.236, the number 3 is in the hundredth location. Next, pick out the next smallest number value. If the number is greater than or equal to five, round the number in the hundredth location up. If its less than five, round it down.

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What is the alternate interior angles theorum?

One of the most important theorems in geometry has to do with alternate interior angles; this theorem on alternate interior angles is used extensively in geometry. It is used to prove two lines parallel in problems that require proof. When two lines are intersected by a third line, eight angles are formed at the two distinct points of intersection. The alternate interior angles are formed on either side of this third line.

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How do you find the area of an object?

Identify the shape of the objectFirst, determine what kind of shape the object is. It could be a rectangle, circle, triangle or other shape. This can be done visually or by reading a word problem.Choose the correct formulaSelect the appropriate formula to use with the shape of the object. For example: The area of a rectangle is length times width, and the area of a circle is the value of pi multiplied by the radius squared.Substitute the correct valuesThe values needed should either be given or measured. For example, the value of pi is a mathematical constant. The radius of a circle can be mea..

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How do you calculate percentage difference?

Find the difference between the two valuesSubtract one of the values being compared from the other. If the difference is a negative number, use the absolute value by ignoring the negative sign for the rest of the calculation.Divide by the averageAdd the two values together and divide by two to find their average. Divide the number found in Step 1 by the average of the values.Convert to a percentageMultiply this value by 100 by moving the decimal point two places to the right. This is the percentage difference.

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