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Solve (1/2)*(4x+2)+3=8

First of all, we operate the parenthesis obtaining 2x+1+3=8. Operating then, 2x+4=8, and leaving everything that depends on x in one side, 2x=8-4 (remember to change the sign when passing from one side of th...
LA
Answered by Lucia A. • Maths tutor
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Find the derivative of sinx, use that to find the derivative of xsinx

the derivative of sinx is cosx, then we know that we can apply the product rule to find derivative of xsinx, such that if we let u=x and v=sinx and apply the formula d/dx(xsinx)=u dv/dx+v du/dx. to obtain xc...
NB
Answered by Niren B. • Maths tutor
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Solve the simultaneous equations. 3x + 5y = 1 , 2x - 3y = 7

3x + 5y = 1 (eq 1) 2x - 3y = 7 (eq 2) Step 1 - 2* (eq 1) 6x + 10y = 2 (eq 3) Step 2 - 3* (eq 2) 6x - 9y = 21 (eq 4) Step 3 - eq 4 - eq 3 to cancel the x -19y = 19 Therefore, y = -1 (eq 5) Step 4 - sub (eq 5)...
AL
Answered by Ann L. • Maths tutor
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A circular table top has diameter 140 cm. The volume of the table top is 17,150π cmᶟ. Calculate the thickness of the table top

The table is a cylinder so we'll need to use the equation for this shape: A = πr 2 h We're looking for the thickness of the table (which is the height) so let's rearrange this equation to make h the subject ...
LM
Answered by Lewis M. • Maths tutor
9442 Views

A circular table top has diameter 140 cm. Calculate the area of the table top in cm² , giving your answer as a multiple of π.

So we know the formula for the area of a circle: πr 2 So all we need to find is the radius 2 Radius = Diameter / 2 (Half the diameter) = 70 Radius 2 = 70 2 = 4900 Therefore using our original equation: πr 2 ...
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Answered by Lewis M. • Maths tutor
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