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Calculate 44 - (12 - 3^2)^2.

Remember the rule BIDMAS (Brackets, Indicies, Division, Multiplication, Addition, Subtraction) Inside the brackets we have: 12 - 3 2 and again need to remember BIDMAS. The next item to consider is the Indici...
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Answered by Emanuel D. • Maths tutor
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Which of these numbers is the smallest? 0.8, 8.8, 0.88, 88.0, 8.08.

First notice that two numbers have 0 before the decimal point. Conclude to ignore the rest. Then compare the remaining two by adding a zero to the end of 0.8 thus making 0.80. Now compare 0.80 with 0.88 and ...
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Answered by Emanuel D. • Maths tutor
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The line AB has equation 5x + 3y + 3 = 0. The line AB is parallel to the line y = mx + 7. Find the value of m.

Rearrange AB into y = mx + c format: 1) 3y = -3 - 5x 2) y = - 5/3 x - 1 Compare equation with y = mx + c Conclude m = - 5/3 You can also deduce the y-intercept of AB is -1.
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Answered by Emanuel D. • Maths tutor
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Rearrange the following to make m the subject: 4(m - 2) = t (5m +3)

Expand the brackets: 4m - 8 = 5tm + 3t Collect all m variables to one side: 4m - 5tm = 3t + 8 Take a factor of m out: m(4 - 5t) = 3t + 8 Divide both sides by (4 - 5t): m = (3t + 8) / (4 - 5t)
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Answered by Emanuel D. • Maths tutor
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Rationalise the denominator of (6 + 5√3 )/√3 Give your answer in its simplest form.

A key component of using Surds is knowing how to multiply them. As such √3 x √3 = 3, √4 x √4 = 4 and so on. The √ sign means the root of this number. On to the Question given we are asked to rationalise the ...
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Answered by Adam F. • Maths tutor
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