Top answers

The point P has coordinates (4, 5). The point Q has coordinates (a, b). A line perpendicular to PQ is given by the equation 5x+3y=11. Find an expression for b in terms of a.

First we should find the gradient of the line perpendicular to PQ by rearranging the equation.5x+3y=113y=11-5xy=11/5 -5/3xy= -5/3x + 11gradient is -5/3.We know that the gradients of perpendicular lines multi...
SB
Answered by Staś B. • Maths tutor
5096 Views

Celine has £5 to buy pens and rubbers. Pens are 18p each. Rubbers are 30p each. She says “I will buy 15 pens. Then I will buy as many rubbers as possible. With my change I will buy more pens.” How many pens and how many rubbers does she buy? [5 marks]

Answer: 16 pens and 7 rubbers
AR
Answered by Ardra R. • Maths tutor
3145 Views

x^2 = 4(x – 3)^2

This is a quadratic equation, which contains terms up to x 2 . All quadratic equations can be written in the form a x 2 + b x + c = 0 where a , b and c are numbers, and a cannot be equal to zero. Expand the ...
JW
Answered by Jennifer W. • Maths tutor
4390 Views

Solve 10(x + 2) – (2x – 9) = 30

10(x+2) -(2x-9)=30; 10x+20-2x+9=30 paying attention to the sign change when solving the brackets; 8x+29=30; 8x=1 separating in order to find out x; x=1/8
CE
Answered by Cristian E. • Maths tutor
5008 Views

Factorise and simplify (6x-42)/((x^2)-49)

When we factorise, we are trying to put a long expression into a couple of brackets to make it neater and easier to work with. It is the opposite to multiplying out brackets. To start off with, we will facto...
RS
Answered by Robert S. • Maths tutor
5773 Views