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Maths
GCSE

Solve the simultaneous equation: 2x - 5y = 9 , x + 6y = -4

First multiply the second equation by 2, so it becomes 2x + 12y = -8. Then subtract the second equation from the first one which gives (2x - 2x) + (-5y - 12y) = (9 - -8), -17y = 17. Therefore y = -1. Plug...

Answered by Anagh C. Maths tutor
3498 Views

What is the distance between the points with co-ordinates (3,2) and (7,9)?

This question can be approached using the Pythagoras Theorem, with the line connecting these 2 points being the hypotenuse (longest side of the triangle). Side lengths:1) 7-3=4 2) 9-2=7Therefore, the dist...

Answered by Shanmukan S. Maths tutor
2332 Views

The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle.

Draw the triangle - recognising that it is a right angled trianglefind the scale factoruse the formula: 0.5 x base x height = area To find the scale factor you must divide the total perimeter by the sum o...

Answered by Stella C. Maths tutor
2300 Views

Solve the Simultaneous Equation: 2x + 3y = 15 and 5x + 4y = 13

Primarily, we should attempt to make either the x or y values of either equation be the same value, or the equivalent negative value. This is so we can add or subtract the equations to leave us with one v...

Answered by Luke H. Maths tutor
7491 Views

Daniel bakes 420 cakes. He bakes only vanilla cakes, banana cakes, lemon cakes and chocolate cakes. 72 of the cakes are vanilla cakes. 35% of the cakes are banana cakes. The ratio of the number of lemon cakes to the number of chocolate cakes is 4:5 Work

2/7 of 420 = 120 vanilla cakes35% of 420 = 147 banana cakes420 - 120 - 147 = 153 chocolate and vanilla cakes4+5 = 9153/9 = 1717*4 = 68

Answered by Anna F. Maths tutor
15947 Views

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