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Expand and simplify (x-3)(2x+4y)^2

The first step is to expand the (2x+4y)^2 bracket. Start by writing out (2x+4y)(2x+4y) and multiply out. A simple way to do this is by using the 'foil' method - multiply the 'first' terms in each bracket,...

Answered by Ella M. Maths tutor
3297 Views

A triangular prism has mass 900g, length 20cm and the triangle bases are equilateral and with side length 6cm. Find the density(g/cm^3) of the material the prism is made of.

Answer:Density is mass/volume .: mass must be identified and volume calculated.Volume of triangular prism is calculated as prism lengtharea of triangle.As triangles are equilateral and of side length ...

Answered by Oliver W. Maths tutor
3378 Views

Using the Quotient rule, Find dy/dx given that y = sec(x)

d[sec(x)]/dx -->d[1/cos(x)] -->( [d[1].cos(x) - d[cos(x)].1] ) / [cos(x)]^2 -->[0.cos(x) - -sin(x).1]/ [cos(x)]^2 -->sin(x)/[cos(x)]^2 -->tan(x)sec(x) <-- Final Answer

Answered by Rakib K. Maths tutor
3648 Views

Solve... 8x + 2 = 3x - 8

To SOLVE this equation means find what x = ? To do this we need to we need to follow 3 steps. FIRST: get all the x's on one side (remember that all operations must be done to both sides of the = sign). SE...

Answered by Milly P. Maths tutor
4009 Views

Simplify (2sin45 - tan45) / 4tan60

Here we are dealing with 2 concepts: trigonometry and surds.First i would make sure that the student is aware/can identify these trigonometry values.So sin45 = 1/√ 2, tan45 = 1, tan60 = √ 3Now i would ins...

Answered by Safa M. Maths tutor
9659 Views

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