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Maths
GCSE

Show that the lines y=3x+7 and 2y-6x=8 are parallel (not using a graphical method).

The standard form of a straight line is y = mx + c, where y and x are variables that depend on each other, m is the gradient and c is the y-axis intercept. An important fact for this question is that para...

Answered by Matt B. Maths tutor
3441 Views

(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)...

Answered by Iman I. Maths tutor
5438 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...
Answered by Jordan M. Maths tutor
2466 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...

Answered by Elizabeth L. Maths tutor
12512 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...

Answered by Alexander C. Maths tutor
2078 Views

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