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(a)Show that the lines y=3x+7 and 2y–6x=8 are parallel. [3 marks] (b) Is the point (–5, –6) above, below or on the line y = 3x + 7 ? Do not use a graphical method. [2 marks] [Total 5 marks]

(a) The gradient of y=3x+7 is 3 and rearrange 2y–6x=8 to y=3x+4 to show the gradient of 2y–6x=8 is also(6÷2=) 3. Alternatively, choose a value for x and find y value for both lines (e.g. (0, 7) and (0, 4)...

II
Answered by Iman I. Maths tutor
6127 Views

Work out 1/12 + 3/6

  1. notice that the denominators aren't the same2) To make them the same, multiply the numerator and denominator by 2 to get 6/12.3 now we can add the numerators together as the denominators are now the...
JM
Answered by Jordan M. Maths tutor
2848 Views

Expand and simplify (x-2)(2x+3)(x+1)

When answering this type of question, it is often easiest to break working out down into two big chunks, to keep everything organised.

Chunk One - Expanding and Simpli...

EL
Answered by Elizabeth L. Maths tutor
13957 Views

Solve, using SohCahToa, right angle triangle ABC for the hypotenuse, where adjecent=10cm & theta=40 degrees.

First draw the triangle for visual representation, it can often clear the problem in your head if its too difficult to visualise. Then write sohcahtoa and decide which function to use by highlight the val...

AC
Answered by Alexander C. Maths tutor
2333 Views

What is the value of x if 2X+1: 3 = 5: 9?

The product of the inside (3 and 5) and the product of the outside (2X+1 and 9) are equal to each other. Therefore 18X+9 = 15. Therefore 18X =6 and if we divide both sides by 18, we get X=1/3.

HL
Answered by Hosouk L. Maths tutor
7101 Views

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