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Solve these two equations simultaneously: 7x + y = 1 and 2x^2 - y = 3.

Equation 1: 2x 2 - y = 3 and Equation 2: 7x + y = 1. Rearrange equation 1 to make y the subject: 2x 2 - y = 3, 2x 2 - 3 = y. Substitute equation 1 into equation 2 to get equation 3: 7x + (2x 2 - 3) = 1, 7x +...
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Answered by Darcie D. • Maths tutor
3967 Views

There is a quarter circle with radius 8cm, what is the area of the quarter circle. The answer should be given in terms of pi, units are cm^2.

The area of a circle is given by the equation: A = pi r 2 where r is the radiusThis means the area of the quarter circle is just 1/4 th the area of the total circle.Therefore the area of the quarter circle i...
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Answered by Shrey C. • Maths tutor
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3 teas and 2 coffees have a total cost of £7.80 5 teas and 4 coffees have a total cost of £14.20 Work out the cost of one tea and the cost of one coffee.

3t + 2c = 7.80 ---> x2 to get 6t + 4c = 15.605t + 4c = 14.20 6t + 4c = 15.60-- 5t + 4c = 14.20= 1t = 1.40If t = 1.40 substitute t in to the equation to get:(3 x 1.40) + 2c = 7.80 ---> 2c = 3.60 --> ...
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Answered by Hania K. • Maths tutor
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Solve the following equation: x^2 - 5x - 14 = 0

The equation above is an example of a quadratic. The easiest way of solving this is to split the equation into two brackets, allowing you to equal each individual bracket to zero, and so get a value of x. A ...
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Answered by Noah N. • Maths tutor
3422 Views

The size of each interior angle of a regular polygon is 11 times the size of each exterior angle. Work out how many sides the polygon has.

The way to tackle this particular question requires the need for 2 formula equationsThe sum of all the interior angles of a regular polygon can be worked out by subtracting 2 from the number of sides, and mu...
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Answered by Rakeb Y. • Maths tutor
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