Category: Math
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Different forms of the quadratic equation
A quadratic equation can be written in different forms forms: standard, factored, and vertex, each revealing different properties and solutions. Constants a, b, c affect the graph’s shape and position, while r1, r2, and h, k relate to roots and vertex coordinates.
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What are quadratic equations?
In mathematics, equations like as linear, quadratic, and cubic describe relationships between variables. Quadratic equations have x squared as the highest power. Graphs help us visualize these relationships, and with given x values, y can be determined.
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How to find the area of a shape
Just as the perimeter of a shape is like a fence, the area of a shape is like tiles. You need to find out many square tiles would fit in the shape since the unit is cm^2 or m^2. Once you know the formula for the area of a shape, you can apply it to…
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“How do you find the sum of the next ‘n’ terms in a sequence?”
Sometimes a sequences and series question in grade 11 math might ask you to “find the sum of the next 100 terms” or something similar. Basically, they’re asking you to find the sum, but exclude the first few terms. I’ll show you step by step how you would approach such a question.
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“How can I find the formula for a graph on excel?”
1. Select the data points, insert and scatter. (In order for this to work, it has to be a scatter graph ) 2. Click on the chart and navigate to the tab chart design. Click add chart element, trendline and select the type of graph you have. 3. Right click on the trendline and format…
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Perimeter of a shape
The perimeter of a shape is the distance around it. You can imagine that there is a fence built around the shape and you want to find out how long the fence should be. That is what the perimeter is! Once you know the formula for finding the perimeter of a shape, you can apply…
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How to solve quadratic inequalities
Inequalities use greater than or smaller than signs not an equals sign. How can we solve the equation to determine this range of values?
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Types of roots (the discriminant)
In quadratic equations, we commonly find the x-intercepts. These values tell us where the graph cuts the x-axis. It is possible to determine what roots the function will have without drawing a graph or solving the equation by using the discriminant.