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A linear sequence starts a + 2b, a + 6b, a + 10b, …….. …….. The 2nd term has value 8. The 5th term has value 44. Work out the values of a and b.

First we need to find the fourth and fifth term. So between first and second term we've added 4b, the same between the second and third term. To get to the fourth term we'd add 4b again to get a+14b, then ad...
KG
Answered by Khadijah G. • Maths tutor
3217 Views

Determine the nature of the roots of the quadratic equation x^2 + 6x + 8 = 0, and plot the graph of this function.

The graph has two distinct real roots (x=-4 and x = -2), which we can see by factorising the equation, which gives (x+4)(x+2) = 0. We can then plot the function y = x^2 + 6x + 8, first marking the roots on t...
DL
Answered by Daniel L. • Maths tutor
3592 Views

A farmer has a field that he wants to give away to his two sons. When the field is divided into two, one of his son's field has an area of 18cm (squared), work out how much area of the field his other son will get

The person completing the question will need to spilt the shape up so that they can find which rectangle is equal to 18cm squared. Then, they will have to work out what the area of the remaining rectangle is...
GM
Answered by Georgia M. • Maths tutor
2425 Views

Solve algebraically the simultaneous equations: x^2 + y^2 = 25 and y – 3x = 13

(1) x 2 + y 2 = 25 (2) y - 3x = 13 To solve simultaneous equations algebraically we want to rearrange one of the equations to be able to substitute this in to the other equation. In this example, we have squ...
MO
Answered by Maria O. • Maths tutor
3976 Views

How do I solve simultaneous equations when one is quadratic? For example 3x^2 -2y = 19, 6x-y-14=0

The aim of this question is to find the two solutions which satisfy the quadratic equation. The approach to this can be broken down into a few principle steps: 1) Express y in terms of x. Here 6x-y-14=0 can ...
AM
Answered by Angus M. • Maths tutor
3197 Views