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The equation of the line L1 is y = 3x – 2 The equation of the line L2 is 3y – 9x + 5 = 0 Show that these two lines are parallel.

L1 is in the form y=mx+c where m is the gradient, 3.L2 can be rewritten as 3y=9x-5, then y=3x-(5/3) to reach y=mx+c. So, the gradient of L2 is 3.Therefore, both lines are parallel.

JW
Answered by Joe W. Maths tutor
4604 Views

The angles of a triangle are a, 2a and 2a + 30. Work out the value of a.

The areas of a triangle add up to 180 degrees. Therefore to tackle this question you must use algebra as you know that the sum of a, 2a and 2a + 30 is 180. a + 2a + 2a + 30 = 180 All the like terms can be...

AG
Answered by Amy G. Maths tutor
3836 Views

What does antithesis mean?

Antithesis is a literary device, quite similar to juxtaposition. But more explicitly, antithesis is the use of two opposites used in the same sentence to emphasise the contrasting effect. For example, 'Yo...

NP
Answered by Nina P. English tutor
3997 Views

How would I tackle questions regarding the depiction of education in Alan Bennet's play The History Boys?

Remember to always structure your essay as Point Evidence Explain.For example:(Point:)In The History Boys, the playwright Alan Bennet uses the characters of Hector, Irwin and the Headmaster to portray jux...

NP
3662 Views

Find dy/dx for y=5x^3−2x^2+7x−15

'Find dy/dx' means it wants us to differentiate. The rules for this are multiply the coefficient (number before x) by the current power, then decrease the power by 1.In this example:5x3 would b...

GS
Answered by Georgia S. Maths tutor
6490 Views

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