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What is Standard form? And when can I use it?

Standard form, also referred to as standard index form is a method of writing really big and really small numbers. It uses powers of 10 to express its size.Standard form is used all the time in science and e...
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Answered by Ceri L. • Maths tutor
27189 Views

The number of uniform spherical shots that can be made from a given mass of lead varies inversely to the cube of the radius. When the radius is 1mm the number of shots made is 2744. How many shots of radius 1.4mm can be made from the same mass.

The key to long questions like these is picking out the key information quickly. We have 2 pieces of information we are interested in, the number of shots and the radius of each shot, so let's assign them a ...
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Answered by Joshua J. • Maths tutor
4970 Views

How do I solve equations with unknowns in the denominators?

Suppose you have an equation: (2x+3)/(x-4) - (2x-8)/(2x+1) = 1 and you want to solve for x. Remember that you can only add fractions if they share a common denominator. Also that you can multiply the numerat...
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Answered by Seb G. • Maths tutor
25278 Views

Simplify the expression: 3x + 2y -7x + c + y

The important thing in this question is the letters. We want to group "like terms" together. This is what makes the expression simpler. I go about this by drawing a different shape around each lett...
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Answered by Edward S. • Maths tutor
5971 Views

A circle with centre C has equation x^2 + y^2 + 2x - 6y - 40 = 0. Express as (x - a)^2 + (y - b)^2 = d.

First we must complete the square on both x and y. To complete a square we must take the number before the x and half it, for example nx we get n/2. We then write it as (x + n/2) 2 - (n/2) 2 . So for our que...
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Answered by Reuben M. • Maths tutor
8754 Views