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What does linear mean in mathematics?

First, the function must be of order one. This means that the highest degree or exponent in the function must be one. In other words, if any variable is squared, cubed or raised to any power but one, the function is not linear. Next, the function must be the equation of a straight line. This can be verified most easily by graphing the function, but if the function satisfies the third quality, then it must also satisfy the second. The third requires that the function take the form y = mx + b. A function can take this form without appearing to do so. For example, y = 4 is linear; "m" is zero and..

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How are geometry proofs coordinated?

As with solving many other complex mathematical equations, coordinating geometry proofs begins with drawing a rough sketch of a graph, then adding labels for clarity. The proofing process may be carried out on a calculator or freehand, but should show the thought process used to achieve results. In addition to showing the results can be proven, laying out all work allows people to keep organized and see where errors occurred if answers are incorrect. Several formulas can be used to coordinate geometry proofs, including the slope formula. In math, slope refers to the steepness of a line or port..

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What is 15 percent as a fraction?

The word percent means per hundred, and percentages can be seen as an expression of regular numbers or ratios as a fraction of 100. In order to convert percentages back to fractions, one simply needs to see the percentage as a number over 100, and then find the greatest common factor between the two of them. After this, the percentage and 100 are both divided by the greatest common factor to find the simplest fraction that represents the original percentage.

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What are examples of plane figures?

Examples of plane figures in everyday life are paper, rugs, floors, the glass in mirrors, the glass in picture frames, table surfaces and doors. Plane figures cannot be composed of wavy lines.\nA figure whose points lie in different planes is called a space figure. A space figure is a three-dimensional figure. Some examples of space figures are pyramids, spheres, cubes, rectangular prisms, cones and cylinders.

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What shape has six sides?

A hexagon is a polygon that can be considered regular or irregular. A hexagon that has six sides that are all the same length is considered a regular hexagon. If the hexagon has sides that vary in length, it is considered an irregular hexagon.\nHexagons can also be considered concave or convex. If all of the angles are pointing outward and are less than 180 degrees, it is a concave hexagon. When any of the angles are pointing inward or are greater than 180 degrees, it is a convex hexagon.\nTo determine whether a shape with six sides is a true hexagon, there are two tests that the shape must be..

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How do you add using a 100-number chart?

A 100-number chart is a very good visual way to teach simple mathematical operations to young students. The chart usually consists of 10 rows and 10 columns, with each square having a single number in it from 1 to 100. The chart allows students to easily perform simple addition and subtraction problems, and it also helps them to understand the relationship between numbers.Using the chart to add two numbersPut a finger or a place holder, such as a coin, on the square that indicates the first number in the problem. Move the finger or coin along the chart in the positive direction as many spaces..

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How do you convert cubic meters to kilograms?

Density must be measured in kg/m^3 in order to convert the number of cubic meters to kilograms through simple multiplication. A substance with a higher density has more kilograms in a certain number of cubic meters than another substance with a lower density but equal volume.\nFor example, Engineering Toolbox reports that the density of iron is 7850 kg/m^3. If there are 10 cubic meters of iron, this represents (10 m^3 * 7850 kg/m^3), which equals 78500 kg. Liquid water, on the other hand, has a density of just 1000 kg/m^3 at 4 degrees Celsius. If there are 10 cubic meters of water, this repres..

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How long does it take to drive 111 miles at 65 miles per hour?

Solving for time in this problem requires dividing 111 miles by 65 miles per hour to obtain the number of hours the trip takes. The basic formula of "distance equals rate times time" is used to find any of the three variables when the other two are known. To find rate requires dividing distance by time. Rate is another word for expressing speed in such equations.

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How do you convert percent slope to degrees?

Find the corresponding vertical and horizontal distancesFor any side of a triangle whose percent slope is unknown, it can be calculated from the corresponding values of vertical rise and horizontal distance. Usually, vertical distance is denoted by Y, and the horizontal distance is denoted by X. Find out the values of these two distances.Calculate the percent slopeThe percent slope of a line can be calculated from the values of X and Y by using the formula: percent slope = 100 * (Y/X). For example, if both the values of X and Y are equal to two, then the percent slope is: percent slope = 100 *..

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How many edges does a tetrahedron have?

The word "tetrahedron" comes from the late Greek word "tetraedron," which is a combination of the prefix "tetra," which means "four," and "hedra," which refers to the base of a solid figure. One of the sides of a tetrahedon is a triangular base, and the other three sides extend from the base and meet at a point on the top.

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