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How do you solve the equation 3(6x + 2) = 10 + 4x?

Begin by expanding the brackets of the LHS:3(6x + 2) = 18x + 6 3 * 6x = 18 x and 3 *2 = 6The equation now reads:18x + 6 = 10 + 4xSubtract 4x from both sides14x + 6 = 10Subtract 6 from both sides14x = 4Divide...
JT
Answered by James T. • Maths tutor
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Expand these Brackets

Done using Whiteboard
CT
Answered by Charlotte T. • Maths tutor
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Write √ 45 in the form a √ 5, where a is an integer.

You can separate any surd into factors of the number that is being square rooted, for example when you have a surd such as √ 12 it can be rewritten as √ 2 X √ 6 or √ 3 X √ 4. This is very useful when we work...
AG
Answered by Aaron G. • Maths tutor
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If the hypotenuse of a triangle is 7cm and another side is 4cm, what's the length of the other side? How can I work this out?

The phenomenon you're describing is called 'Pythagoras theorem'. Let's go through it together. You have a right angled triangle, with the hypothesis and one side given. The pythagoras theorem gives you a for...
NK
Answered by Najmeh K. • Maths tutor
4162 Views

A square has sides of length x cm. The length of a rectangle is equal to the perimeter of this square. The perimeter of this rectangle is 14x cm. Find an expression for the width of this rectangle. Give your answer in terms of x.

l(s) = xl(r) = 4xp(r) = 14xP(r) = 8x + 2w = 14xw = 3x
MZ
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