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Expand and simplify the following expression: x(5x – 2) – 3(x2 – 2x + 7)

5x2 – 2x – 3x2 + 6x – 21= 2x2 + 4x − 21

Answered by Maths tutor
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The longest side in a right-angled triangle is 12cm. One of the shorter sides is 4 cm. Calculate the perimeter of the triangle

122 = 42 + x2 [This is pythagoras' theorem (a2 = b2 + c2) ]
144 =16 + x 2
128 = x2
11...

RC
Answered by Rachel C. Maths tutor
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Express: (x^2 + 5x - 14) / (2x^2 - 4x) as a fraction in it's simplest form.

Answer: (x+7)/(2x)

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Make d the subject of the formula: 3d + dxy = 4

d (3 + xy) = 4
d = 4/(3 + xy)

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A cylinder has radius 2cm and height 9cm. A cone has radius r cm and height h cm. The ratio r : h is 1 : 4. The volume of the cone is equal to the volume of the cylinder. Work out the value of r.

Firstly, we will find the volume of the cylinder using the formula V_cylinder =π r2h . Inputting the numbers given in the question gives V_cylinder = 36π.Given that V_cylinder = V_cone, and usi...

AC
Answered by Alice C. Maths tutor
6154 Views

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