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A ladder of length 6.5m is leaning against a vertical wall. The foot of the ladder is 1.5m from the wall. Calculate the distance the ladder reaches up the wall to 3 significant figures.

(using Pythagoras' theorem) 6.52 = x2+ 1.52 x2= 6.52- 1.52 x2= 42.25 - 2.25 x2 = 40 x = sqrt(40) x ...

PB
Answered by Pollyanna B. Maths tutor
5314 Views

How to do Indices?

There are different rules when it comes to indices. First of all we will look at the example of multiplying two expressions . For example, y2 x y4 . Here we need to do the addition r...

TH
Answered by Taha H. Maths tutor
3292 Views

A linear sequence starts a + 2b, a + 6b, a + 10b … The 2nd term has value 8 The 5th term has value 44 Work out the values of a and b.

5th Term is a+18b=442nd term is a+ 6b=8subtract the two equations from eachother to get 12b=36 rearrange so that b=36/12=3 substitute b=3 into any of the above equations to get a; a=8-(6x3) = -10 so a=-10...

MP
Answered by Malini P. Maths tutor
2993 Views

The equation of a circle is x^2+y^2-6x-4y+4=0. i) Find the radius and centre of the circle. ii) Find the coordinates of the points of intersection with the line y=x+2

i) x2 + y2- 6x - 4y + 4 = 0 x2- 6x + y2 - 4y + 4 = 0 group the terms together x2- 6x = (x - 3)2 - 9 factorise the x ter...

RL
Answered by Ralf L. Maths tutor
7641 Views

How do you do algebraic long division?

To find the quotient and remainder of an algebraic division we use a technique similar to long division at GCSE. I think the best and easiest way to learn this method is to go through an example. See the ...

NB
Answered by Niamh B. Maths tutor
3991 Views

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