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If a line is in the form y=mx+c why does m give you the gradient of the line

gradient is change in y over change in x.

if (x1,y1) and (x2,x1) are lines on a graph then the change in y is y2-y1 and change in x is x2-x1, and since they are both on the line y1=mx1+c and y2=mx2...

VB
Answered by Vedant B. Maths tutor
4329 Views

If an object going in a circle has a force acting on it then why is it travelling at a constant speed

Velocity is a vector quantity, which means it has a direction and a magnitude. Newtons second law says that force is equal to rate in change of velocity. When an object is travelling in a circle with cons...

VB
Answered by Vedant B. Physics tutor
1586 Views

Find the eigenvalues and corresponding eigenvectors of the following matrix: A = [[6, -3], [4, -1]]. Hence represent the matrix in diagonal form.

The first eigenvalue is 3, whose corresponding eigenvector is (1, 1), and the second eigenvalue is 2, whose corresponding eigenvector is (3, 4). In diagonal form, A = PDP^-1, where P = [[1, 3], [1, 4]] an...

MU
2992 Views

Why do airbags make a car safer

In a car crash the car decelerates really quickly. If there is no air bag your head continues to travel at the same speed as before until it hits the dash board and decelerates really quickly upon impact,...

VB
Answered by Vedant B. Physics tutor
2694 Views

How would I prepare for my Maths exams so that I get the best grade possible?

I would recommend that all A-level students should attempt all previous exam papers at least once. This is to pick up on common tricks that the examiner uses and in most cases these tricks keep coming up ...

TR
Answered by Tom R. Maths tutor
3219 Views

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