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Show that the two lines are parallel: L1: 4y = 24x +12, L2: 2y + 13 = 12x

Two lines are parallel when they have the same gradient. When the equation is written in the form: y = mx + c, m is the gradient. We need to arrange our equations in the form y = mx + c as this is the easies...
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Answered by Dominique T. Maths tutor
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Simplify fully:6y2 +7y - 6y - 4 - 3y2

Simplify: 6y 2 +7y - 6y - 4 - 3y 2 The first step is to group the terms of the equation into y 2 terms, y terms and terms with no y: This gives, 6y 2 -3y 2 + 7y - 6y - 4 Next we are going to look at each ter...
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Answered by Dominique T. Maths tutor
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What is 4/5 of 60?

Okay so what this question is asking for is 4 lots of 1/5 of 60. So our first step is the find 1/5 of 60 and we do this by dividing by 5. If you don't know your 5 times table off the top of your head you can...
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Answered by Dominique T. Maths tutor
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What is the product of prime factors of 270?

Firstly we need to make sure we understand the question and do this by defining the key elements: Prime number: A number that can only be divided by itself and 1 to give a whole number, i.e. 3, 7, 11 Factor:...
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Answered by Dominique T. Maths tutor
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A right-angled triangle has a base of 5 cm, a height of 12 cm. Find the length of the hypotenuse.

Draw the triangle.Let the base = a, height = b and hypotenuse = ca = 5, b = 12, c = ?Using Pythagoras theorem, a 2 + b 2 = c 2 so, 5 2 + 12 2 = c 2 25 + 144 = c 2 169 = c 2 c = sqrt (169)c = 13So the hypoten...
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Answered by Abhiyan B. Maths tutor
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