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Simplify (3x+2)/(sqrt(x)-1)

-((3x+2)(1+sqrt(x)))/(1-x)
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Answered by Zyra A. • Maths tutor
3580 Views

how do you find the equation of a line perpendicular to another line at a point?

The gradient of the perpendicular line is the negative reciprocal of the gradient of the original line. For example if the gradient of the original line is 4, the gradient of the perpendicular line is -1/4. ...
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Answered by Frankie G. • Maths tutor
3566 Views

What is Pythagoras' Theorem for finding the length of a side of a triangle?

Pythagoras' Theorem can only be used on right angle triangles. To find the length of side a, the theorem can be used as follows: a 2 =h 2 -b 2 Taking the square root of the right-hand side of the equation wi...
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Answered by Eloise S. • Maths tutor
3225 Views

Factorise x^2 + 5x + 6

Firstly, look at the number in front of the x term. This is 5Then look at the number at the end without an x term. This is 6.What 2 numbers would add to make 5, and multiply to make 6?? + ? = 5 ? x ?=6This w...
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Answered by Ravneet M. • Maths tutor
3598 Views

A rectangle has sides of length 4x cm and (x+3)cm and has an area less than 112 cm^2, find the set of values x can take

Derive an inequality for the area. 1) As area = width * length then area is 4x * (x+3). 2) Area is less than ( < ) 112 so inequality is 4x* (x+3) < 112. 3) Expand the brackets and then subtract 112 fro...
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Answered by Harry T. • Maths tutor
3973 Views