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Mathematics: Post your doubts here!

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p²x-4q²x How would I factorise fully? I know its got something to do with the form (a+b)² but I dont know what that is ? could you please explain to me what the form (a+b)² is and what it does?
 
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p²x-4q²x How would I factorise fully? I know its got something to do with the form (a+b)² but I dont know what that is ? could you please explain to me what the form (a+b)² is and what it does?
dis is actually d form a²-b²
remove x out so:
x(p² - (2q)²)
= (p-2q)(p+2q)

for d second qns
(a+b)² = a² + 2ab + b²
 
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how do you solve these questions?
1. The volume of the planet Uranus is 64 times the volume of the planet Earth.
Assuming that Uranus and Earth are geometrically similar, calculate the ratio of
Surface area of Uranus : Surface area of Earth in the form n : 1.
AND
2.The speed of light is 300 000 kilometres per second.
(a) Write 300 000 in standard form.
Answer (a) ......................................................... P I
(b) The nearest star, Proxima Centauri, is 4.2 light years from the Sun. One light year is the distance
light travels in 365 days. Calculate the distance of Proxima Centauri from the Sun.
Give your answer in kilometres in standard form.
Answer (b) ................................................... km 111
FROM A PAST PAPER
 
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how do you solve these questions?
1. The volume of the planet Uranus is 64 times the volume of the planet Earth.
Assuming that Uranus and Earth are geometrically similar, calculate the ratio of
Surface area of Uranus : Surface area of Earth in the form n : 1.
AND
2.The speed of light is 300 000 kilometres per second.
(a) Write 300 000 in standard form.
Answer (a) ......................................................... P I
(b) The nearest star, Proxima Centauri, is 4.2 light years from the Sun. One light year is the distance
light travels in 365 days. Calculate the distance of Proxima Centauri from the Sun.
Give your answer in kilometres in standard form.
Answer (b) ................................................... km 111
FROM A PAST PAPER
1._/64 = 4
therefore ratio is 4:1
4^2:1^2
n=16
2. a) 3 x 10^5
b)1 light year = 300000 x 60 x 60 x 24 x 365 = 9.4608 x 10 ^12 km
4.2 light years = 3.97 x 10^10 km!
omg dats a lot of distance!!!
 
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thanks a lot.... however, I'm not so clear about how you got the two 60*60 in your working, under questoin two
 
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6.b) 1/2*14*19 + 14*36 + 23.6*36 + 19*36 = 2303.6 cm2
7.e)iii) use ur graph to find out wer d 2 lines intersect
so total surface area is simply the total summation of he areas, it doesn't have a definite formula right?
and for question 6(e), i checked the answer and the only way to find the distance of the line CE is by using Pythagoras theorem. however, i'm wondering why Pythagoras theorem has been used because the angle CBE is not at 90 degrees, from the angle at which we are viewing the prism
THANKS BY THE WAY
 
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Can someone please help me by explaining step by step how to do these questions from 0580 may/june 2012 paper 21?
Questions 17, 15b and 20.
Thanks!
 

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Can someone please help me by explaining step by step how to do these questions from 0580 may/june 2012 paper 21?
Questions 17, 15b and 20.
Thanks!
15b) 1:500000(cm)
=> 1:5(km)
square it
=>1:25(fr area)
12:x
x=12 x 25 = 300

17)c(w-3)=4+w
=>cw-3c=4+w
=>cw-w=4+3c
=>w(c-1)=4+3c
=>w=4+3c/c-1

20) angle OTP = 90
tan 78 = PT/5
PT = tan 78 x 5 = 23.52 cm
angle ROT(reflex) = 360 - (78 + 78)
= 204
major arc = 204/360 x 2 (pi) x 5
=17.80
=>length of rope = 23.52 x 2 + 17.80 = 64.8
 
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