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The line AB has equation 5x + 3y + 3 = 0. The line AB is parallel to the line y = mx + 7. Find the value of m.

Rearrange AB into y = mx + c format: 1) 3y = -3 - 5x 2) y = - 5/3 x - 1 Compare equation with y = mx + c Conclude m = - 5/3 You can also deduce the y-intercept of AB is -1.
ED
Answered by Emanuel D. • Maths tutor
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Solve the simultaneous equations - x+y=2 and 4y^2 - x^2 = 11

The objective of simultaeous equations is to be able to work out two unknowns by using two equations in which they are both involved. The first step is to label the equation x+y=2 as equation 1 and 4y 2 - x ...
KC
Answered by Keshlee C. • Maths tutor
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Differentiate 7(3x^2+7)^(1/3)

Begin by differentiating the terms in the brackets, which gives just 6x. Bring 6x forward, out of the brackets, together with the index on the brackets - 1/3. This gives 42x/3 or 14x in front of the brackets...
TM
Answered by Tomas M. • Maths tutor
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Solve the following simultaneous equations y + 4x + 1 = 0, y^2 + 5x^2 + 2x = 0

Here we can either use the substitution method or the elimination method. The elimination method here would be hard to carry out due to there being no term which we can make equal in terms of only one of the...
AW
Answered by Alex W. • Maths tutor
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What is differentiation used for in the real world?

Differentiation is very helpful in the real world, in many different fields. In terms of business and economics, being able to derive maximum and minimum values of certain functions can prove extremely usefu...
DO
Answered by Daniel O. • Maths tutor
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