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Solve these equations simultaneously: (1) 5x - 10z = -45 and (2) 9x = -5z + 80

There are two methods to solve this equation. 1) Rearrange equation 2 to get all the xs and zs on the left hand side (9x+5z=80). Multiply either equation to get an equal number of xs or zs in both equatio...

Answered by Matilda P. • Maths tutor

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How to factorise a quadratic with a coefficient of x^2 greater than one, for example 4x2+4x-15?

Firstly, label each coefficient: coefficient in front of x2 “a”, is equal to 4. “b” is the coefficient in front of x is equal to +4 “c” is equal to -15

The procedure for factorising starts with wo...

Answered by Bhavin S. • Maths tutor

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The circle c has equation x^2 + y^2 = 1. The line l has gradient 3 and intercepts the y axis at the point (0, 1). c and l intersect at two points. Find the co-ordinates of these points.

The first step would be to form an equation for the line l. Using y=mx+c, and the information provided in the question, the equation for line l is y=3x+1. To find the coordinates of where c and l intersec...

Answered by Dilan P. • Maths tutor

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What is the derivative of y=(e^(2x))(sin(3x))

This question is slightly complex and requires you to use multiple differentiation rules. Since we are differentiating a product of two functions, the first rule that we have to use is the product rule: m...

Answered by Sajidah H. • Maths tutor

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