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To what extent were economic realities the most important factor in pushing both sides towards detente by 1972?

The detente showed an improvement in relations between USA and USSR, as Brezhnev and Nixon were eager to form alliances. Although the economic realities were a big factor in pushing both countries towards a ...
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Answered by Tom S. • History tutor
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Sketch the curve y=4-(x+3)^2, showing the points where the curve crosses the x-axis and any minimum or maximum points.

This equation rearranges to give -y=(x+3)^2-4, which is very similar to our curve y=(x+3)^2-4 from before. In fact, replacing y with -y in an equation is equivalent to reflecting the curve through the x-axis...
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Answered by Jonny I. • Maths tutor
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Find the coordinates of the minimum point of the curve y=x^2+6x+5.

To answer this question is equivalent to minimising y=(x+3)^2-4. We have that all square numbers are greater than or equal to 0 so to minimise this equation, we require that (x+3)^2=0. This is satisfied only...
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Answered by Jonny I. • Maths tutor
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Factorise x^2+6x+5=0 by completing the square.

When completing the square, we first divide the whole equation by the x^2 component. In this case, the x^2 component is 1 so nothing changes. We now apply the method to convert to square form: we reduce the ...
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Answered by Jonny I. • Maths tutor
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Find the coordinates where the curve y=x^2+6x+5 crosses the x-axis.

When any curve crosses the x-axis, the y-coordinate is 0 at that point. Hence, our answers will have y=0. So we want to solve x^2+6x+5=0. From before, we have that x^2+6x+5=0 can be rewritten as (x+5)(x+1)=0...
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Answered by Jonny I. • Maths tutor
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