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Solve the simultaneous equations 2x−3y=12 and 3x + 4y = 8

To solve this question we will first have to think of how we can solve something with two variables. The most common method is through elimination where we remove a variable so then we have an expression for...
DS
Answered by David S. • Maths tutor
7357 Views

Express (5sqrt(3)-6)/(2sqrt(3)+3) in the form m+nsqrt(3) where m and n are integers. [Core 1]

Step 1: multiply (5sqrt(3)-6)/(2sqrt(3)+3) by (2sqrt(3)-3)/(2sqrt(3)-3) (this is a trick called CONJUGATION as you're really just multiplying the fraction by 1. Step 2: Expand and simplify top and botton to ...
MY
Answered by Mahir Y. • Maths tutor
4732 Views

simplify c^4 x c^3

when multiplying indices you need to add the powers (only if the base number is the same -> need to ensure they are denoted with the same letter) 4 + 3 = 7 therefore the answer is c^7
AV
Answered by Alice V. • Maths tutor
8988 Views

simplify (3x^2 - x - 2) / (x^2 - 1)

factorise the top fraction: 3x^2 - x - 2 = (3x + 2)(x - 1) factorise the bottom fraction: x^2 -1 = (x + 1)(x - 1) cancel out the (x - 1) and the final result is (3x + 2) / (x + 1)
AV
Answered by Alice V. • Maths tutor
4377 Views

Two points P(–4, –1) and Q(–8, 5) are joined by a straight line. Work out the coordinates of the midpoint of the line PQ.

First, you must remember what the midpoint formula is for a line with two points. M= ((x 1​ +x 2​ )/2 ​,(y 1 ​+y 2​​ )/2) Then apply it to this question. M= ((-4+-8)/2 , (-1+5)/2) Simplify and solve. M= ((-1...
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Answered by Ellen T. • Maths tutor
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