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Work out the value of (16/81)^(3/4)

Firstly it is easier to think of the power (3/4) as two separate parts. The first part being 3/1 (which is the same as cubing a number) and the second part being 1/4 (which is the same as the quartic root). ...
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Answered by Stefano S. • Maths tutor
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find the equation of the tangent to the curve y=2x^3+3 at the point where x= -2

know to differentiate to find the gradient of the tangent: y=2x 3 +3, dy/dx= 6x 2 When x=-2, dy/dx= 24When x=-2, y=2(-2) 3 +3, y= -13equation of a tangent is y=mx+c, where y=-13, x=-2 and m=24. Evaluate for ...
DH
Answered by David H. • Maths tutor
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P is (4, 9) and Q is (–2, 1); calculate the midpoint of PQ.

for the x coordinate; 4+(-2)=2 divide by two to find where midpoint between the two x coordinates 2/2=1for the y coordinate; 9+1= 10divide by 2 to find the midpoint between the two y coordinates 10/2=5theref...
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Answered by Alexander R. • Maths tutor
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Factorise and solve for the solutions of X in the equation X^2 + 8X +15?

Think of 2 numbers that will add up to give you 8 and mutiply to give you 155 and 3!(X+3)(X+5)=0Anything multiplied by 0=0 so the trick is to make each bracket be equal to 0X+3=0Therefore X=-3X+5=0Therefore ...
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Answered by Stephen S. • Maths tutor
3273 Views

What is 1/3 + 1/4? Express as a fraction in the simplest form.

Common denominator: 1/3 + 1/4 = 4/12 +3/12 Add numerators: 4/12 + 3/12 = 7/12Cannot simplify further, so answer is 7/12.
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Answered by Meishu H. • Maths tutor
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