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This is an example of completing the square. Completing the square means taking a usual quadratic equation ax2+bx+c=0 and writing it as a(x+d)2+e=0, where we must find the numbers d ...
At first, it is important to identify that this is a linear equation, usually in the form of y = mx + b. These equations are used for straight line graphs. The most important rule to remember when solving...
The first piece of understanding needed to answer this question is that integration can be used to find the area under a graph between two points. However, before we can integrate we must find the bounds ...
Let x be a number so that the sides of the triangle are 3x, 4x and 5x, because the ratio is 3 : 4 : 5. The perimeter is 3x+4x+5x=12x=72, meaning that x = 72/12 = 6. The sides of the triangle are 36=18...
Bayes' rule is a really neat equation that's used everywhere, including in Artificial Intelligence! Most things in the real world aren't certain: that's why we use probabilities. Also, we often can't dire...
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