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Maths
GCSE

Write 𝑥²+6𝑥+11 in the form (𝑥+a)²+b.

This question wants you to "complete the square". To start this question we put a = (coefficient of x)/2 = 6/2 = 3.So far we have 𝑥²+6𝑥+11 = (𝑥+3)²+b. We now need to find b. We can expand and si...

BP
Answered by Ben P. Maths tutor
11510 Views

Functions f and g are such that f(x) = x^2, g(x) = x-3. Solve gf(x)=g^-1(x)

First, we substitute in our functions f and g. We can do this in two ways.1) Find g^-1:As g takes 3 from x, the inverse operation must add 3 to x. So g^-1(x) = x + 3Then our equation gf(x) = g^-1(x) becom...

WC
Answered by William C. Maths tutor
8770 Views

solve: x/4 + 2x/(x+2)=1

x=5±sqrt(33)

DS
Answered by David S. Maths tutor
2533 Views

The ratio 2 centimetres to 6 metres can be written in the form 1 : n. Find the value of n.

6m = 600 cm. 2cm:600cm = 1cm:300cm. Therefore answer = 300.

RS
Answered by Rohan S. Maths tutor
3581 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.

5+4+3=12. 72/12=6. 3(6)=18. 4(6)=24. 5(6)=30. area of right-angled triangle = 1/2 x b x h. 1/2 x 24 x 18= 1/2 x 24 x 9. 24x9 = 216.

RS
Answered by Rohan S. Maths tutor
2551 Views

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