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The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a.

The first step should be to rearrange the equation of the perpendicular line to PQ, in order to find the gradient, which works out to -3/2x. This can be done using the equation y=mx+c, where m is the gradien...
MD
Answered by M D. • Maths tutor
8663 Views

What is cuberoot(64x1000)?

This is a question from a non calculator GCSE paper only answered correctly by roughly half the students. The question is regarding the topic of surds and is quite a basic question testing your knowledge on ...
AJ
Answered by Avik J. • Maths tutor
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Factorise the expression x^2+5x-24.

Using the general form of a quadratic equation ax 2 +bx+c, we known that ax 2 +bx+c=(x+d)(x+e).The constant term, c, must be equal to the product of our two constants in the factorisation, therefore c=d x e....
LC
Answered by Louis C. • Maths tutor
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√(6^2+8^2)=^3√125a^3

√(6 2 +8 2 )= 3 √125a 3 √36+64=5a√100=5a10=5aa=2
TP
Answered by Thomas P. • Maths tutor
3358 Views

Solve algebraically the simultaneous equations: x^2 + 3x + 10 = y and; 4 - 2x = y. Give answers as co-ordinates.

Where we are given two equations that equal the same thing we can substitute one into the other e.g. (1) x 2 + 3x + 10 = y (2) 4 - 2x = y. Sub (2) into (1) - replace y in (1) for (4 - 2x): x 2 + 3x + 10 = 4 ...
GR
Answered by Georgia R. • Maths tutor
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