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Solve the simultaneous equations: 2x-y=x+4; x^2+4y^2=37

taking equation 1 and solving for x: 2x-y=x+4 x-y=4 x=y+4 Sub our new equation into equation 2 from the question: (y+4) 2 +4y 2 =37 Expand and simplify: y 2 +8y+16+4y 2 =37 5y 2 +8y-21=0 Factorise: (5y-7)(y+...
AW
Answered by Alexander W. • Maths tutor
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A line passes through coordinates (-2,4) and (8,9). Does the point with coordinates (32,55) fall on this line?

To work out if a given point with coordinates (X,Y) falls on a line you must work out the equation for the line. All straight lines follow the formula: y=mx+c with 'y' being the Y coordinate, 'x' being the X...
NS
Answered by Nicholas S. • Maths tutor
8023 Views

integrate with respect to x the function f(x)= xln(x)

Use integration by parts let u=ln(x) let dv/dx=x therefore du/dx=1/x and v=(1/2)x^2 therefore the integral of xln(x) is equal to the following: (1/2)x^2ln(x) - (integral with respect to x of:((1/2)x^2)/x) = ...
PJ
Answered by Priya J. • Maths tutor
3537 Views

Find x: 4x + 7 = 27

4x + 7 = 27 4x = 20 x = 5
SP
Answered by Saskia P. • Maths tutor
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Differentiate: (12x^3)+ 4x + 7

36x^2 + 4
SP
Answered by Saskia P. • Maths tutor
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