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How To Find the Third Side of a Triangle in 3 Ways

how to find the third side of a triangle: graph of the law of sines

There are several different ways you can compute the length of the third side of a triangle. Depending on whether you need to know how to find the third side of a triangle on an isosceles triangle or a right triangle, or if you have two sides or two known angles, this article will review the formulas that you need to know.

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What To Remember When Graphing Linear Equations

graphing linear equations: Cartesian graph

Graphing linear equations is key to helping you with making observations or insights about the equation. Before we look at graphing linear equations, let's review graphing basics.

The image above is a Cartesian graph. The x-axis goes left to right, and the x-intercept is wherever a straight line crosses over or intersects this horizontal axis. The y-axis goes up and down, and the y-intercept is wherever a straight line crosses over or intersects this vertical axis. Think of this as a rectangular coordinate system formed with evenly spaced perpendicular lines. Each ordered pair of coordinates (x,y) denotes a singular point on the graph.

The graph of a linear equation can be drawn by finding which x values and y values solve for the equation of the line, meaning those values balance the equation. For example, (2, 5) is a valid graph point for the equation graphing linear equations: y=2x+1 formula, because substituting 2 for x and 5 for y in the equation gives 5 = 2(2)+1, or 5=5. (0, 0) is not a solution because 0≠0+1, or 0≠1, and therefore is not a point on the line. Once you have collected several points, you can graph your equation.

Find the x-coordinate of a point on the graph by counting the number of spaces along the x-axis in accordance with the first value. Then, find the y-coordinate by looking at the second number and counting that number of spaces up or down the y-axis. For example, the point (2,3) would be two spaces to the right and three spaces up.

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How To Master Quadratic Regression

quadratic regression graph

Similar to functions, quadratic regression is a way to model a relationship between two sets of independent variables. Quadratic regression is the process of determining the equation of a parabola that best fits a set of data. This set of data is a given set of graph points that make up the shape of a parabola. The equation of the parabola is y = ax2 + bx + c, where a can never equal zero.

The graphs of quadratic functions have a nonlinear “U”-shape with exponential curves on either side of a single intercepting y-value. We’ll show you how to use this equation.

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Your Guide to Finding and Choosing the Best Algebra Tutor


Young algebra tutor at school

Algebra is a broad mathematics concept students need to master in order to grasp more advanced math topics. While not as difficult as more advanced math courses, it’s the first time students encounter letters in addition to numbers. Encountering this new way of thinking in math can confuse some students. Fortunately, algebra doesn’t have to be hard, especially when you work with an algebra tutor who can help you work through tough concepts.

Here, we’ll show you the benefits of working with an online algebra tutor and give you tips on studying algebra concepts between tutoring sessions. You’ll learn what to look for in a great tutor and discover where to find highly qualified tutoring options.

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