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Dao Trong Luan Coordinator
04/06/2019 at 07:27
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Given: a + b + 2c = 1.

Find the minimum and maximum of A = ab - 4bc - 4ca


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Lê Anh Duy
03/05/2019 at 12:58
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35*) Given \(\Delta ABC\). Prove that: \(S_{ABC}\le\dfrac{\sqrt{3}}{12}\left(AB^2+BC^2+CA^2\right)\)

inequalityGeometryarea


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Lê Anh Duy
15/04/2019 at 10:43
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34) Solve the equations:
\(\left\{{}\begin{matrix}\sqrt{3x}\left(1+\dfrac{1}{x+y}\right)=2\\\sqrt{7y}\left(1-\dfrac{1}{x-y}\right)=4\sqrt{2}\end{matrix}\right.\)


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Quê Nhà
02/04/2019 at 08:38
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Find the area of a right triangle at A with perimeter 72 cm. The difference between the median line and the height derived from A is 7 cm.

HOMC


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Uchiha Sasuke
28/03/2019 at 12:10
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Given \(A=\left(x-2y\right)^2+\left(x-3\right)^2+\left(y-1\right)^2+3\). The least possible value of A is:...

Math Violympic


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Uchiha Sasuke
28/03/2019 at 10:52
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Given a polynomial f(x) such that \(x^3+2x^2\left(4y-1\right)-4xy^2-f\left(x\right)=-5^3+4xy\left(2x-y\right)\). The value of \(f\left(\dfrac{f\left(-5\right)}{5^2}\right)\)=...

Polynomial


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Uchiha Sasuke
28/03/2019 at 10:48
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How many liters of a 92 - octane gasoline should be mixed with 200 liters of a 98 - octane gasoline to produce a mixture that is 96 - octane gasoline.


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Mèo Haru
25/03/2019 at 12:02
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Let the weight triangle ABC (CA = CB), the height BD. On the edges BA, BC take the two points E and F respectively so that BE = BF = BD. Via E, draw a straight line parallel to AC cut BC at N, cut BD at K. Pass F draw a straight line parallel to AC cut AB at M, cut BD at I.

Calculate the lengths of sides AB and BC if you know EM = 9cm, FN = 12cm and IK = 6cm.

Math 8


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Vui Ghét Nét
06/03/2019 at 23:48
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Compact

A = \(\left(a+b+c\right)^2+\left(a+b-c\right)^2-2\left(a-b\right)^2\)


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Quoc Tran Anh Le Coordinator
02/03/2019 at 13:21
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In the figure, two regular pentagons have been attached to a regular hexagon to create a 12-gon. If each regular polygon has side length 3 feet, what is the perimeter of the resulting 12-gon?

Mathcounts


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