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The equation of the line L1 is: y = 5x-4. The equation for line L2 is 2y-10x+16 = 0. Show that these two lines are parallel.

L1: y=5x-4L2: 2y-10x+16=0. Rearranged: 2y=10x-16, y=5x-8 The coefficient of x is the same in both equations when expressed in standard format (5), therefore the lines are parallel.

AW
Answered by Alfie W. Maths tutor
4699 Views

Hamlet portrays a world in which little is what it appears to be. Discuss.

Opening Lines and Essay Structure for A-Level English Essay.
Hamlet is a play rooted in and riddled with deception. The characters within this play ceaselessly deceive and connive and as a r...

MH
Answered by Max H. English tutor
1802 Views

How do I calculate the eigenvalues and eigenvectors of a 2x2 matrix, and what is the point of doing this calculation?

We find the eigenvalues (here called "k") by solving the characteristic equation det(M - kI) = 0. For a 2x2 matrix ((a, b), (c,d)) the determinant is ad - bc, we set this equal to zero ...

TD
Answered by Tutor120184 D. Maths tutor
3843 Views

The intermolecular interactions between halogen molecules are Van der Waals' forces. Explain how these Van der Waal's forces arise between halogen molecules.

Electrons are mobile or move in halogen molecules. Therefore, there can be an uneven distribution of electrons or electron density in halogen molecules (1 mark). This creates a temporary or instantaneous ...

AL
Answered by Andrew L. Chemistry tutor
8863 Views

Find the derivative of y=e^(2x)*(x^2-4x-2).

Notice that y can be expressed as y=f(x)g(x), in which f(x)=e^(2x) and g(x)=x^2-4x-2.Through the product rule, we know that dy/dx=f'(x)g(x)+f(x)g'(x).Through the chain rule, we can solve f(x) by rewriting...

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Answered by Samuel H. Maths tutor
7991 Views

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