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How do you solve an equation using slope-intercept form?

Determine the slope of the straight lineTake the coordinates (x,y) of two points on the line. Divide the difference of the two y values by the difference of the two x values to get the slope.Look for the y-interceptThe y-intercept is the y value of the point on the line where x = 0. This point is where the line meets the vertical y axis. Look for the point, and determine the y-value.Substitute the values to the equation y = mx + bUse the slope as the value of m and the y intercept as the value of b.Solve for the missing valueIf you have an x value, substitute the x with that, then solve for y...

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How do you divide scientific notation?

Divide the coefficientsThe coefficient is the decimal number at the front of the figure expressed in scientific notation. For example, 124,000 expressed in scientific notation would be 1.24 * 10^5, and the coefficient is 1.24. Assume you're dividing 2.56 * 10^7 by 1.28 * 10^2. This means you first divide 2.56 by 1.28, leaving you with 2 as the coefficient.Subtract the exponentsAs long as the bases are the same, division of exponents in scientific notation is simply a matter of subtracting the digits used to indicate the value of the exponents. All bases in scientific notation are 10, so y..

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What are examples of stories with holes?

Often in fiction, a willing suspense of disbelief may be required to appreciate the story, which can allow the audience to overlook minor discrepancies. However, depending on how scrupulous the reader or viewer is, and depending on the size of the plot hole, such errors can detract from the story.\nIn "The Lord of the Rings," Frodo and Sam are rescued by giant eagles from deep within enemy territory in Mordor after destroying the One Ring. It is often pointed out that the eagles could have simply flown them in as well, instead of having the hobbits walk for hundreds of pages to Mount Doom.\nIn..

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What is calculated using the formula of length x width x depth?

Calculations related to length x width x depth can be used to determine the volume of other shapes besides the rectangle. For example, the volume of a triangle uses the same formula, but divides the product in half to determine the triangle's volume.\nAs length, width and depth are all measurements, it is important to recall that the final volume (which is a three-dimensional figure) is of the form units cubed. For instance, if these three dimensions are all in feet, then the volume is given in cubic feet.

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What are some tips for teaching beginning fractions?

Most children already have an understanding of halves, and many already grasp the basic concept of quarters. Help students visualize these fractions using pizza pictures, or laminated pizzas that are divided in two or four sections. Use pizzas divided into fourths, sixths and eighths to demonstrate how the numerator changes based on the number of selected slices and how the denominator changes based on the total number of pieces. These manipulatives are also good ways to introduce students to the concept of comparing fractions.\nPizzas help students make real-life connections to fractions. Pro..

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What is the Roman numeral for 4?

No more than three of the same letters can be used consecutively in a Roman numeral. Although the number three is expressed as III, the number four has to be expressed as IV. Putting the letter of lesser value to the left of a letter with greater value indicates subtraction, while putting letters of equal or lesser value to the right of a letter indicates addition.

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How do you simplify polynomials?

Terms that have no variable parts can be added together. Terms that have the same variable part can also be combined. Examples of terms with the same variable part are 10z and 3z. However, 6z and 8yz cannot be combined because the second term has an addition variable that the first term lacks. Similarly, 3y and 2y^3 are not like terms because in the first term, the variable has a power of 1, while in the second term it has a power of 3.\nAn example of a polynomial that can be simplified is 27 + 5x^2 - 6xy + xy + 3x - 9 + 4y + 4x^2. In this example, 5x^2 and 4x^2 are like terms because they bot..

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What are some basic math assignments for algebra?

Resources such as Math.com, the Khan Academy and Math-Drills.com offer worksheets and lessons on these basic topics as well as provide glossaries of algebra terms for beginners. Essential concepts, such as distributive properties and the BODMAS rule, are also required for basic algebra assignments to ensure that students understand the mechanics of solving equations.

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How many edges does a hexagonal pyramid have?

Euler's polyhedron formula, named after Leonard Euler (pronounced "oy-ler") and not to be confused the Euler Formula, mathematically shows the relationship between a polyhedron's edges, faces and vertices. It says that the number of faces plus the number of vertices minus the number of edges will always equal two. In the case of a hexagonal pyramid, this equates to seven faces plus seven vertices minus 12 edges equals two.

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What are some formulas used for figuring percentages?

The word percent means "out of one hundred." A percentage represents how much a part of something is in relation to the whole value. This is easy to see when the whole value is 100, such as 100 cents in one dollar. If you have 50 cents, you have 50% of one dollar.\nWhen a whole value is not 100, a percentage represents a part of something in terms of 100. This can make visualizing or interpreting the portion's value in relation to a whole easier if the numbers involved are difficult to perceive. For example, 1,468 out of 7,340 may be difficult to interpret, but 20% is a bit easier to unde..

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