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ABCD is a regular paralleogram, A=(2,1) B=(7,2) and C=(4,6), work out the gradient of the line CD and then work out the area of ABCD.

As its a parallelogram the gradient of CD will be the same as the gradient of AB so you just need to work out the gradient of AB using the formula (y 2 -y 1 )/(x 2 -x 1 ) which would be (2-1)/(7-2)= 1/5 or 0...
RS
Answered by Rachel S. • Maths tutor
3542 Views

Differentiate arctan(x) with respect to x

We can set arctan(x) = y. Remember that arctan(x) is the inverse of tan(x), so we can take the tangent of both sides to give: tan(arctan(x)) = x = tan(y). Tan(x) has the standard derivative of sec^2(x) (whic...
SE
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A uniform ladder of mass 5 kg sits upon a smooth wall and atop a rough floor. The floor and wall are perpendicular. Draw a free body diagram for the ladder (you do not need to calculate any forces).

Diagram should include two orthogonal lines, representing the wall and floor. Connecting them should be a diaganol line (the ladder) At the midpoint of the line should be a vertical downward arrow whose head...
DG
Answered by Dean G. • Maths tutor
3771 Views

How do I factorise quadratic equations into brackets?

I would go through with the tutee the 4 steps that would
JG
Answered by Josh G. • Maths tutor
3531 Views

How do you integrate ?

In order to integrate an algebraic term, such as 8x 3 + 4, one must first take the power of the first term and increase this by 1, getting 8x 4 . Secondly , divide the coefficient on x by the new power, in t...
LH
Answered by Louie H. • Maths tutor
4070 Views