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work out the area of a trapezium where the height is 4mm, the top length is 8mm and the bottom length is 12.5mm

the formula for area of a trapezium = 0.5(a+b)htherefore, a = 8, b = 12.5, h = 4therefore, the total area would be 41mm squared

Answered by Rianna P. • Maths tutor

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Factorise the following equation: x^2 + x - 6

Answer: (x+3)(x-2)

Answered by Eli N. • Maths tutor

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Simplify (x+4)^(2)-(x-2)^(2)

Treat the question, (x+4)²-(x-2)²as a²-b² where we can simplify as (a+b)(a-b). ie. (x+4+x-2)(x+4-x+2) *be careful about change of signsWe then get (2x+2)(6) wh...

Answered by Loreen T. • Maths tutor

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The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a.

3x-2y=7. y=-3/2x+7/2. mn=-1. m=2/3. m=dy/dx. 2/3=4-b/3-a. 4-b=2-2/3a.b=2/3a+2

Answered by Mayank R. • Maths tutor

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Solve the simultaneous equations 3x + y = –4 and 3x – 4y = 6

Rearrange first equation so we can eliminate one variable: y= - 4 -3x We can then plug this into the second equation so we get rid of the y's and just have x's: 3x-4(-3x-4)=6Simplify this: 3x + 12x+16=6...

Answered by Anushka C. • Maths tutor

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