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N = 2a + b. a is a 2 digit square number, b is a 2 digit cube number. What is the smallest possible value of N?

First, the smallest values of a and b must be found and then substituted into the equation for N. To find a. A square number is a number that is the result of multiplying and number by itself . Eg 2 squared ...
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Answered by Oliver G. • Maths tutor
3921 Views

Work out the value of 125 to the power of -2/3.

We want to find 125 -2/3 . To do this, we will need to use lots of power rules that we have learnt. Firstly, when we put a power to another power, we multiply the two powers. For example, (2 3 ) 4 (2 to the ...
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Answered by Joe R. • Maths tutor
38432 Views

How do you calculate the area of a circle?

The equation is 2πr. That is 2 x pi x the radius (not the diameter!)
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Answered by Nick O. • Maths tutor
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The area of a square is 49cm^2. The perimeter of the square is equal to the circumference of a circle. Work out the radius of the circle. Give your answer to 1 decimal place.

Area of a square (A s ) = Side length (L) 2 L = square root A s L = square root 49 L = 7 cm Perimeter (P) = 4L P = 4 x 7 P = 28 cm P = Circumference (C) C = 28 cm C = 2pi x Radius (r) r = C / (2pi) r = 28 / ...
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Answered by William D. • Maths tutor
15891 Views

Find the roots of the quadratic equation, x^2 - 8x + 24 = 0, by completing the square.

Step 1: The fisrt step is to use the following formula when asked to complete the square, ( x + (b/2) ) 2 - (b/2) 2 + c = 0 Step 2 In our case, b=8,c=24 Hence our equation, x 2 - 8x + 24= 0 becomes (x + (-8/...
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Answered by Pantelis K. • Maths tutor
7757 Views