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y is proportional to x^2. When y=45, x=3. Find a formula for y in terms of x.

If y is proportional to x then you can write y=kx^2 where k is a constant you are trying to find. Then substitute in the values you have been given for x and y. This gives you 45=k(3)^2. Then work to solv...

Answered by Abbey P. • Maths tutor

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Expand (x + 4) (x - 8)

Multiply the first x term by the second x term (explain that any number times by itself is itself squared) = x^2Multiply the non-x term of the first bracket by the x term of the second bracket and check p...

Answered by Harry H. • Maths tutor

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The diagram shows the position of two ships, A and B, and a lighthouse L. Ship A is 5km from L on a bearing of 070° from L. Ship B is 3km from L on a bearing of 210° from L. Find the distance between A and B correct to 3.s.f.

(Draw diagram) From the diagram we can see that angle BLA= 210-70 = 140° . So for our triangle BLA we now have two sides and an included angle and we want to work out the length of the side opposite the a...

Answered by Callum S. • Maths tutor

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Show that the lines A: y= 2x-5. and the line B: 2y-4x+3=0 are parallel.

If two lines are parallel they have the same gradient. line A is in the form y=mx+c where m is the gradient and c is the y intercept. Therefore, the gradient of A =2.Get B into the form y=mx+c to compare ...

Answered by Asha K. • Maths tutor

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