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L is a line parallel to 4x-2y=8. Find the equation of the line if L passes through (4,(38/3))

Since L is parallel to 4x-2y=8, it means that both lines have the same gradient. (Reminder: in y=mx+c, m is the gradient)4x-2y=8, therefore 2y=4x-8, and dividing both sides by 2 results to y=2x-4. Therefo...

Answered by Demetris I. • Maths tutor

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Expand and simplify (x+4)(x+5).

First, we need to expand the brackets out. To do this first times the x term in (x+4) by everything in the other brackets. We need to make sure to do this term by term. This will give us x^2+5x. Next, we ...

Answered by Peter G. • Maths tutor

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Rectangle ABCD has sides 2x+5 and x+2 with rectangle EFGH of sides x+3 and x cut out of it. The total area of shape ABCD is 5cm^2. Show that 0 = x^2 + 6x +5 [5 Marks]

Area of ABCD = (2x+5)(x+2) = 2x² +9x +10Area of EFGH = (x+3)(x) = x² + 3xTotal Area = 5 = ABCD - EFGH = 2x² +9x +10 - x² - 3x 5 = x² + 6x +10 0 = x

Answered by Arad S. • Maths tutor

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Once upon a time, in the Ancient Wizarding World of Haberdasher’sOne pound = 20 shillings One shilling = 12 penceA large Margarine-beer costs 1 pound 4 shillings and 9 pence. A small Margarine-beer costs ...

Answered by Darren P. • Maths tutor

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