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Solve the simultaneous equations 5x + y = 21 and x - 3y = 9

To begin with, I would begin by explaining that in a situation with simultaneous equations one of the variables must be eliminated to find the values for y and x.In this specific case I would make the x vari...
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Answered by Lily O. Maths tutor
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Complete the square on this equation: 2x^2 + 20x + 15 = 0.

First you need to remove the coefficient on the x^2. We do this by factorising the 2x^2 + 20x and placing the 2 from the x^2 outside a set of brackets. This looks like:2(x 2 +10x) +15 = 0Then we get half of ...
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Answered by Robyn L. Maths tutor
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Solve the following simultaneous equations 3x+y=11 and 2x+y=8

To solve a simultaneous equation you should number your equations and re arrange one of them to make y the subject. (You could do it the other way and find the expression for x first)3x + y = 11 [1] and 2x +...
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Answered by Rachel A. Maths tutor
3478 Views

Solve the following equation 3(2x -1) = 4(x - 2)

Firstly, we need to identify what this question is asking us to do. Looking at the equation we can see that we have one unknown value, which is x. It is therefore the value of x which we are being asked to f...
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Answered by Oliver L. Maths tutor
3239 Views

I set up a tent (assume it’s a regular triangular prism) of length 2.2m. The triangular face of the tent is an isosceles triangle. The two identical sides are both 1.4m long and have an angle of 34degrees between them. Work out the volume of the tent -3sf

First work out the area of the triangular face using the formula 1/2 A B sin c:1/2 x 1.4 x 1.4 sin(34) = 0.548m 2 recall volume of a regular prism = area of face x length hence V = 0.548 x 2.2 = 1.21m 3
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Answered by Chloe L. Maths tutor
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