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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.

Line 1 : y = 3x -2. Equation of a line general formula : y = m x + c , where m = gradient. Therefore, for y = 3 x - 2, m = 3 and therefore the gradient = 3. Line 2 : 3y - 9x + 5 = 0. Need to get into the gen...
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Answered by Emma M. • Maths tutor
3969 Views

Solve the inequality x^2 + 5x -24 ≥ 0.

There are a few different ways to approach this problem but the simplest and most easy to visualise solution comes from sketching the curve y = x 2 + 5x - 24 and identifying the range of x-values for which y...
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Answered by Owen W. • Maths tutor
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Mark buys a computer. A VAT of 10% is added to the price of the computer. He pays £246. What was the original price of the computer before VAT was added?

We want to find the original price of the computer.We know when 10% of the price was added to the computer it costs £264.So £264 is equal to the original price plus 10% of the original price.To find 10% of a...
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Answered by Lisa S. • Maths tutor
4802 Views

Express 56 as the product of its prime factors

2×2×2×7 - for complete method to find prime factors; could be shown on a complete factor tree.
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Answered by Nanditha S. • Maths tutor
3255 Views

Work out the value of 81^(-1/4) (Non-Calculator)

To answer this question, we have to think about our power rules and use them to slowly simplify this complicated expression:81 -1/4 = ((81) 1/2 ) -1/2 (Because ((x) y ) z = x yz - one of our 3 power rules)We...
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Answered by Reece P. • Maths tutor
12589 Views