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

Expand the (2x + 3y)^2 term to give 4x²+ 9y² +12xy Expand (x - 4)(4x²+ 9y²+12xy) to give (4x³+9xy²+ 12x²y - 16x²

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Solve the simultaneous equations: 4X+6Y=4 and 7X+5Y=12.5

There are two ways of solving this problem:
Method 1: substitution.
Make X (or Y) the subject of one equation: X= (4-6Y)/4
Substitute this into the other equation:...

Answered by Sam F. • Maths tutor

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A ship sets off on a bearing of 072 degrees from port and travels 3.4km in a straight line. How far north of the ship's starting position is its final position? Give your answer to two decimal places.

From SOHCAHTOA we choose CAH based on trianglecos(theta)= adjacent / hypcos(72)=x / 3.4
3.4cos(72)=xOn calculator find x=1.0506... =1.05 (2dp)

Answered by Jessica M. • Maths tutor

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Why do we use simultaneous equations?

Simultaneous equations are used to help us find unknown values. An example of simultaneous equations is:1) x + y = 62) 2x + 3y = 16We don't know what the value or X or Y is but we know that together they ...

Answered by Amelia G. • Maths tutor

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Find the value of X in the equation X^2 + 9X - 22 = 0

There are 3 ways of solving this but I will go through the 2 that are necessary for GCSE level
Firstly - 22 can only be made by 122 or 211 -------> 11 - 2 = 9 therefore 1...

Answered by Christopher A. • Maths tutor

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