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Set 2x-4y=8 as equation 1, and 3x+3y=-15 as equation 2. Multiply equation 1 by 3 and equation 2 by 4 so they look like 6x-12y=24 and 12x+12y=-60. Now add the two equations and you get 18x=-36 or x=-2. Sub...

Let's say that T is a transformation of the two dimensional plane. Remember that we have the two standard unit vectors (1,0) and (0,1). These are, respectively, the unit vectors pointing in the positive d...

Blood glucose levels increase after the consumption of carbohydrates. To answer this question, it is important to understand how the pancreas works. The pancreas is an organ that releases hormones - it is...

Here, by equating the formula for the kinetic energy of the rocket to the gravitational potential energy, the student would realize after deriving the speed, that the its mass vanishes, therefore making t...

d²y/dx² - 8 dy/dx +16 y = 2x Auxiliary Equation: m² - 8m +16 = 0 (m - 4)² =...