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The line AB has equation 5x+3y+3=0. It is parallel to a line with equation y=mx+7. What is m?

If the lines are parallel then when the line AB is given in the form y=mx+c then the gradient m of AB is equal to that of the other line. Rearranging the equation for line AB gives y=-(5/3)x-1 so m=-(5/3)
MT
Answered by Mina T. • Maths tutor
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Solve the following simultaneous equations: 3x+y-2z = -2, y+4z = 1, 10x+2y+5z=26

x=3, y=-7, z=2
MP
Answered by Matthew P. • Maths tutor
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Differentiate the equation y = (1+x^2)^3 with respect to (w.r.t.) x using the chain rule. (Find dy/dx)

For this example it would be better to use a dummy variable (a variable just to help with solving the equation but isn't a part of the final answer). Let us say our dummy variable, t = 1+x^2. So, substitutin...
PA
Answered by Paolo A. • Maths tutor
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How does the right angle triangle definition of sine, cosine and tangent relate to their graphs as a function of angle and to Euler's formula?

To answer this question we must understand the representation of the unit circle firstly in real coordinates and secondly in the complex plane. The unit circle is just the drawing of a circle of radius 1 in ...
CD
Answered by Caroline D. • Maths tutor
3978 Views

Integrate the expression cos^2(x).

This is a common question in C4 and the trick used to solve it is often used in sub-sections to full questions. To solve it, we must simplify the expression in terms of cos(2x) using two trigonometric identi...
RT
Answered by Rohan T. • Maths tutor
6092 Views