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write (3.2 x 10^4) - (5 x 10^3) in standard form

In order to do this question you want to make sure that both parts of the subtraction are multiplied by the same power of 10.In this case let's make the second part in terms of 10^4. So it becomes 0.5 x 1...

Answered by Edward G. • Maths tutor

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[Higher] Simplify the following expressions: x^7 X x ^5 and (x^-2)^-3

For the first part, when we are multiplying a number of two different powers (here being 7 and 5), we must add the powers in order to simplify the expression. So here x⁷ * x⁵ = x

Answered by Zak S. • Maths tutor

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[Foundation} y = 4x - 3t. x = 2 and t = 5. Work out the value of y.

We know y = 4x - 3t. We are given the values of x and t and we need to work out the value of y. So we shall substitute the given values of x and t to work out y. y = 4 X 2 - 3 X 5, and so using the laws o...

Answered by Zak S. • Maths tutor

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Point A has coordinates (1,0) and Point B has coordinates (2,5). Find the angle between the line AB and the x-axis. (3)

Tan(x) = 5/(2-1), x=tan^-1(5), x= 78.7°

Answered by Edward G. • Maths tutor

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Solve the simultaneous equations: x + 3y = 26 and x - 3y = -22

You want to try and get rid of one of the letters from the equations. To do this you need to add a certain number of one equation into the other so that one of the letters cancel out. In the question abov...

Answered by Matt R. • Maths tutor

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