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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 paralle...
MB
Answered by Matt B. • Maths tutor
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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)); ...
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Answered by Iman I. • Maths tutor
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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 Simplifying Two of the Brackets To begin, you ...
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Answered by Elizabeth L. • Maths tutor
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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 values...
AC
Answered by Alexander C. • Maths tutor
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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.
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Answered by Hosouk L. • Maths tutor
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