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Maths
GCSE

y is inversely proportional to d^2. When d = 10, y = 4. d is directly proportional to x^2. When x = 2, d = 24. Find a formula for y in terms of x. Give your answer in its simplest form.

Inversely proportional means proportional to one over, so the first bit tells us y = a/d^2, where a is number we don't know yet that connects y and d. To find it we need some example values of y and d, wh...

KA
Answered by Katie A. Maths tutor
19414 Views

Factorise 3a^2 - 9a

To factorise you need to identify 'factors', which are common features, between the different terms in an equation. In 3a^2 - 9a, the first term is 3a^2 and the second term is -9a. One common feature betw...

HG
Answered by Hannah G. Maths tutor
4539 Views

How do I solve the following simultaneous equations? y = 2x -3 and 2x + 3y = 23

Equation 1 : y = 2x -3 Equation 2: 2x +3y = 23To solve these equations you use a method called substitution The information from the 1st equation is used by the 2nd one Sub in the formula for y like so: 2...

AK
Answered by Anika K. Maths tutor
4205 Views

Solve x^2 + 7x + 10 = 0

First factorise the quadratic into the form (x + a)(x + b) = 0.This will make x^2 + ax + bx + ab = 0.Work out a and b so that a + b = 7 and ab = 10.a = 5 b = 25+2 = 7 52 = 10.

SK
Answered by Simone K. Maths tutor
2821 Views

A linear sequence begins: a + 2b, a + 6b, a + 10b, ..., ... Given that the 2nd term has a value of 8 and the 5th term has a value of 44, calculate the values for a and b

This is a linear sequence which we can see increasing by 4b with every consecutive term.

Given the values of the first 3 terms, we can see that the 4th and 5th terms must be a + 14b and a + 18b...

AF
Answered by Alex F. Maths tutor
6617 Views

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