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Express square root of 48 in the form n x square root of 3 , where n is an integer

We know that 3 x 16 = 48 This is equivalent to saying 3 x 4^2 = 48 Therefore the square root of 48 can be written as square root of (4^2 x 3) = 4 x square root 3
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Answered by Helena W. • Maths tutor
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A curve has equation y=x^2 + (3k - 4)x + 13 and a line has equation y = 2x + k, where k is constant. Show that the x-coordinate of any point of intersection of the line and curve satisfies the equation: x^2 + 3(k - 2)x + 13 - k = 0

When we deal with points of interception, this immediately indicates that these two equations have to equal. Therefore, begin by equaling these two equations: x^2 + (3k - 4)x + 13 = 2x + k Bring all figures ...
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Answered by Helena W. • Maths tutor
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Solve 5x - 6 = 3x + 7

Rearrange the equation so that both x's are on the same side of the equation, making sure that you change the sign of the number you bring across: 5x - 3x = 7 + 6 Now simplify: 2x = 13 Divide by 2: x = 13/2
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Answered by Helena W. • Maths tutor
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What is the difference between using als and wenn?

Als is used for a sentence that is in the past, for example 'als ich jünger war...' when I was younger. Wenn is used to mean 'if or when' and often has a conditional sense, for example 'wenn ich mehr Geld hä...
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Answered by Jennifer F. • German tutor
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How did you learn French ?

French is my native language
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