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Maths
GCSE

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 mu...

SB
Answered by Staś B. • Maths tutor
4249 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
2716 Views

x^2 = 4(x – 3)^2

This is a quadratic equation, which contains terms up to x2. All quadratic equations can be written in the form ax2 + bx + c = 0 where a, b

JW
Answered by Jennifer W. • Maths tutor
3328 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
4411 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 fa...

RS
Answered by Robert S. • Maths tutor
4366 Views

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