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Maths
GCSE

Solve the simultaneous equations 3x+2y=13 and 4x+y=14

Multiply the second equation by 2 so that the coefficients of y are equal.(4x+y=14) x2 = (8x+2y=28)Now subtract the first equation from 8x+2y=28.(8x+2y=28) - (3x+2y=13)and you get 5x=15.Divide both sides ...

NB
Answered by Natalie B. Maths tutor
6186 Views

A ladder (length 314 cm) is leaning up against a wall. The length between the ladder and the wall is 1.54 m. At what angle is the ladder leaning up against the wall? Round your answer to 2 d.p.

In situations like this I would always find it best to draw a diagram with all the information we know labelled on it. Firstly, however, notice that our measurements are in different units. You can conver...

GW
Answered by Gemma W. Maths tutor
3103 Views

How do I multiply fractions?

This is simpler than you think when you break it down. Just multiply both the numerators (the top number of your fraction) together for the new numerator of the fraction in your answer. Then do the same f...

RM
Answered by Ria M. Maths tutor
3127 Views

Simplify, leaving your answer as a quadratic: (2x + 3)/(x+4) - (3x - 6) = 4

(2x + 3)/(x+4) - (3x - 6) = 4 Initial equationTimes all terms by (x + 4) (2x + 3) - (3x - 6)(x + 4) = 4 (x + 4)Multiply out the brackets (2x + 3) - (3x2 + 12x - 6x - 24) = 4x + 16Remove from br...

AO
Answered by Anya O. Maths tutor
3460 Views

A quarter circle has a radius of 6 cm. Calculate the area of the quarter circle.

It is very easy to calculate the area of the whole circle and divide it by 4.The area of the whole circle can be calculated using the formula A = pir2, where r is the radius of the circle a...

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Answered by Ana D. Maths tutor
9450 Views

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