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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...
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Answered by David S. Maths tutor
7342 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
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Answered by Alice V. Maths tutor
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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
5357 Views

Work out the value of 5^3-5^2:

The first step would be to consider each of the powers individually, work out their value and then proceed with the subtraction to end up with a result. Firstly, as this question is to be done without a calc...
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Answered by Alexander B. Maths tutor
13658 Views

Factorise and solve x^2-8x+15=0

Factorise means we want to turn x 2 -8x+15=0 into the form (x+a)(x+b)=0 . We need to find the two whole numbers 'a' and 'b' which equal -8 (from the -8x part) when added together, i.e. a+b=-8 , and equal 15 ...
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Answered by Anokhi C. Maths tutor
4927 Views