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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
13595 Views

Find the inverse of a 2x2 matrix

Consider the 2x2 matrix M, consisting of elements a, b, c and d. To find its inverse one must first find the det...

Answered by Giovanni D. Maths tutor
3183 Views

Find the stationary point of the graph of y = 2x + 5 + 27x^(-2)

y = 2x + 5 + 27x-2To find a stationary point, find the gradient function by differentiating with respect to x:y' = 2 -54x-3To find a stationary point, let the gradient function equal...

Answered by Henry H. Maths tutor
3299 Views

A is the point with coordinates (5,8) and B is the point with coordinates (1,-2). Find the coordinates of the midpoint of AB.

The coordinates of the midpoint of a line are halfway between the coordinates of the points on either end of the line.To find the x-coordinate of the midpoint of AB, add the x-coordinate of A and the x-co...

Answered by Will T. Maths tutor
10818 Views

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
7067 Views

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