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A is the point with coordinates (5, 9) B is the point with coordinates (d, 15) The gradient of the line AB is 3 Work out the value of d.

To work out the coordinates of point B, you need to look at all of the information that is given in the question.The question tells you that the gradient of the line is 3, which implies that we need to use t...
SC
Answered by Sophie C. • Maths tutor
9293 Views

A rectangle has the length of (2x + 5) and the width of (3x - 2). The perimeter of the rectangle is 36cm. Find the length and width of this rectangle.

Perimeter = (2x+5) + (2x+5) + (3x-2) + (3x-2) = 36= 10x + 6 = 3610x = 36 - 6 10x = 30x = 30/10x=3cmLength = (2x + 5)=2 X 3 + 5=6+5Length =11cmWidth = (3x - 2)= 3 X 3 - 2=9 - 2Width = 7cmDouble check: (2x+5) ...
JM
Answered by Jamie M. • Maths tutor
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Solve the simultaneous equations: 5x + y = 21 and x - 3y = 9

First, we must rearrange these equations to make them easier to work with. There are many ways to do this, but I will rearrange them so they both look like x=_____ so that we can temporarily eliminate x from...
MP
Answered by Maddie P. • Maths tutor
4797 Views

How do I factorise a quadratic expression with coefficient greater than 1 i.e. 2x^2 + x - 6.

In order to factorise this, we will use the S.P.F method. S, stands for sum (2nd term) P, stands for product (3rd term)F, stands for factors (two numbers). The goal is to find 2 factors that not only add to ...
DU
Answered by Dera U. • Maths tutor
5751 Views

Write (9^8)/((9^5)^2) in its simplest form

First expand the denominator 9 8 /(9 5 ) 2 = 9 8 /9 10 . Then simplify using power laws to give 9 8 /9 10 =9 -2 . This can be written as 1/(9 2 ) or 1/81 in its simplest form.
JD
Answered by Jacques D. • Maths tutor
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