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Rearrange the second equation in the form y = mx + c to get y = 3x + 4. Divide the first equation by 2 to get y = 2x + 1. When the lines intersect, they'll have the same x and y values, hence, set the equ...

In physics questions it is useful to not plug numbers in until the end and instead work through algebraically. Let's say the angle of elevation is a, the mass is m, the velocity at the end of the plank is...

The derivative of the function where x=π/6 is defined asThe limit as h->0 of [sin(h+π/6)-sin(π/6)]/hUsing the double angle formula, sin(h+π/6) = sin(h)cos(π/6) + cos(h)sin(π/6) = √3sin(h)/2 + cos(h)si...

President Roosevelt first faced criticism of the New Deal from the Supreme Court, which ruled that some of the measures of the New Deal were unconstitutional. They argued that the New Deal gave the federa...

Melody is one of the main compositional elements which you may be asked to examine when comparing and contrasting different pieces of music. Representing much more than just the main tune of the music, we...