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Mathematics: Post your doubts here!

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Find in terms of p and q, the coordinates of the midpoint of the line joining C(p,q) and D(q,p). Hence show that the origin is on the perpendicular bisector of the line CD.
 
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salam can anyone here help me with the following question
Ur help will be really appreciated..(y)
Here is the question.:)
FIND THE DISTANCE BETWEEN THE GIVEN PARALLEL LINES.SKETCH THE LINES.
ALSO FIND THE EQUATION OF LINE LYING MIDWAY BETWEEN THEM.
3x - 4y + 3=0 , 3x - 4y + 7=0
 
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The population of pakistan to the nearest million was 60 million in 1961
and 95 million in 1981.using t as the number of years after 1961 find
an equation of the line that gives tha population in terms of t.use this
equation to find the population in (a)1947 (b)1997.

If anyone is kind enough to help me with this one too:D
 
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The population of pakistan to the nearest million was 60 million in 1961
and 95 million in 1981. Using t as the number of years after 1961 find
an equation of the line that gives the population in terms of t. Use this
equation to find the population in (a)1947 (b)1997.

If anyone is kind enough to help me with this one too:D
20t (because 1981-1961 is 20 years) = 35 million (95million - 60 million)
t = 35 million divided by 20 which = 1,750,000

a) 14 years (1961-1947).
60 million (population of 1961) minus 14t = population in 1947
14t = 1,750,000 times 14 which = 24,500,000
60 million minus 24.5 million = 35.5 million

b) 16 years (1997-1981)
95 million (population of 1981) plus 16t = population in 1997
16t = 1,750,000 times 16 which = 28,000,000
95 million plus 28 million = 123 million

I think ;)
 
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salam can anyone here help me with the following question
Ur help will be really appreciated..(y)
Here is the question.:)
FIND THE DISTANCE BETWEEN THE GIVEN PARALLEL LINES.SKETCH THE LINES.
ALSO FIND THE EQUATION OF LINE LYING MIDWAY BETWEEN THEM.
3x - 4y + 3=0 , 3x - 4y + 7=0

They are parallel lines.
Find the distance at point (0,0) and you're set.
(0,3) and (0,7)
distance is 4 just because 7-3=4 (it's at point (0,0)).
But using the proper formula, it is the square root of 7 minus 3 squared
square root of 4 squared
square root of 16
which = 4 (y)
 
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Is there any formula/set of rules/anything to solve P1 and P3 Trig Identities. I can't see to think around them. Is there any other way rather than brainstorming like crazy?
 
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