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Maths
GCSE

Solve the simultaneous equations y = x^2 +3x and y = x+8

Because both of the equations are equal to y, the first thing we do is make them equal to each other:x^2 + 3x= x + 8We then want to rearrange the equation so that everything is on the same side of the equ...

JW
Answered by Jessica W. Maths tutor
3640 Views

solve the simultaneous equations: 3x + 5y = 4 ; 7x - 3y = 8

first recognise that if you double the first equation the both equations will be equal to 8.so now we have 6x + 10y = 8 ; 7x - 3y = 8now we can set the equations equal to each other to get 6x + 10y = 7...

EW
Answered by Elizabeth W. Maths tutor
3671 Views

Find the volume of a right angled triangular prism with an angle of 28 degrees, hypotenuse of length 10 cm, and projected length of 12.5 cm. Give your answer in cm^3, to three significant figures.

The area of a prism is found by multiplying the area of the end face by the projected length. The adjacent and opposite side lengths of the triangle can be found using SOHCAHTOA. sin(28)= opposite/10, the...

LM
Answered by Lily M. Maths tutor
2916 Views

What is a vector?

A vector describes a movement from one point to another.a column vector shows both the direction and the magnitude of this movement.the top number describes the horizontal movement.the bottom number descr...

TH
Answered by Tom H. Maths tutor
4522 Views

Simplify fully (3x^2 -8x- 3)/(2x^2-6x)

When simplifying algebraic expressions, we should first factorise each term fully to find any common factors. First we should factorise the numerator where 3x2-8x-3 factorises to (3x+1)(x-3). N...

PP
Answered by Paaras P. Maths tutor
13434 Views

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