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Mathematics: Post your doubts here!

iKhaled

iKhaled

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Shahed Shubeir said:
Good afternoon ,
can anyone help me in question 7 part ii & iii may/june 2006
here's the link
it's urgent .
http://www.xtremepapers.com/papers/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s06_qp_4.pdf
Click to expand...
7 ii) they r moving on a smooth plane so a = g sinθ and the height is 1.6m and the distance moved is d = 2.6t so d = 2.6(2.5) which is 6.5m
now we need to find sinθ which is the height ( opposite ) / hypotenuse which is the distance moved so sinθ = 16/6.5
a = 10( 16/6.5)
a= 2.46 ms/2

7 iii) when q is at the highest point it means its final velocity is equal to zero so..
v = u + at
0 = -1.3 + 2.46t
t = 0.528s

now find the distance moved by particle p by substituting the t = 0.528 in the equation s = ut+ 1/2 at^2

i hope this helped u!
 
Taiyaba

Taiyaba

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Plz someone help me with this one :(
A line joining a vertex of a triangle to the mid-point of the opposite side is called a median. Find the length of the median AM in the triangle A(-1,1), B(0,3) and C(4,7).

Nd

A line has vertices A(-2,1), B(3,-4) and C(5,7).
(a) Find the coordinates of M, the midpoint of AB, and N midpoint of AC.
(b) Show that MN is parallel to BC

Can someone plz tel me hw to do part (b)

And

The points A(2,1), B(2,7) and C(-4,-1) form a triangle. M is the midpoint of AB and N is the midpoint of AC.
(a) Find the lengths of of MN and BC.
(b) Show that BC=2MN.
Only part (b)

Thnx in advance :)
 
VelaneDeBeaute

VelaneDeBeaute

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Taiyaba

Q.1. A line joining a vertex of a triangle to the mid-point of the opposite side is called a median. Find the length of the median AM in the triangle A(-1,1), B(0,3) and C(4,7). The situation depicts M as the midpoint of BC so first find that one. After you have the coordinates of the midpoint, go ahead applying the length/magnitude formula for coordinates of A and M to find te length of the median.

Q.2.A line has vertices A(-2,1), B(3,-4) and C(5,7).
(a) Find the coordinates of M, the midpoint of AB, and N midpoint of AC.
(b) Show that MN is parallel to BC
Can someone plz tel me hw to do part (b)
For parallel lines, the gradient is same, that is, m1=m2. So find the gradients of both MN and BC. If they're equal, then you've proven that the lines are parallel.

Q.3.The points A(2,1), B(2,7) and C(-4,-1) form a triangle. M is the midpoint of AB and N is the midpoint of AC.
(a) Find the lengths of of MN and BC.
(b) Show that BC=2MN.
Only part (b)
Find the lengths of both BC and MN using the length formula. The length of BC must be twice that of MN(e.g. if BC is 10, MN is 5).
 
Taiyaba

Taiyaba

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VelaneDeBeaute said:
Taiyaba

Q.1. A line joining a vertex of a triangle to the mid-point of the opposite side is called a median. Find the length of the median AM in the triangle A(-1,1), B(0,3) and C(4,7). The situation depicts M as the midpoint of BC so first find that one. After you have the coordinates of the midpoint, go ahead applying the length/magnitude formula for coordinates of A and M to find te length of the median.

Q.2.A line has vertices A(-2,1), B(3,-4) and C(5,7).
(a) Find the coordinates of M, the midpoint of AB, and N midpoint of AC.
(b) Show that MN is parallel to BC
Can someone plz tel me hw to do part (b)
For parallel lines, the gradient is same, that is, m1=m2. So find the gradients of both MN and BC. If they're equal, then you've proven that the lines are parallel.

Q.3.The points A(2,1), B(2,7) and C(-4,-1) form a triangle. M is the midpoint of AB and N is the midpoint of AC.
(a) Find the lengths of of MN and BC.
(b) Show that BC=2MN.
Only part (b)
Find the lengths of both BC and MN using the length formula. The length of BC must be twice that of MN(e.g. if BC is 10, MN is 5).
Click to expand...
Thnk u thnk u thnk u sooooooo mch :D :p
 
S

Shahed Shubeir

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I need help in this question as soon as possible, I've a test, and I looked through out all the years and i didn't find it.
can any one help me please ?:(Capture.PNG
 
Beca1206

Beca1206

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Hey guys!
I would be grateful if someone can please help me with this question.
kindle sketch the graph!
its taken from Oct/Nov 2011
3 (i) Sketch, on a single diagram, the graphs of y = cos 2q and y = 1
2 for 0 ≤ q ≤ 2p. [3]
(ii) Write down the number of roots of the equation 2 cos 2q − 1 = 0 in the interval 0 ≤ q ≤ 2p. [1]
(iii) Deduce the number of roots of the equation 2 cos 2q − 1 = 0 in the interval 10p ≤ q ≤ 20p. [1]

Many thanks
 
soumayya

soumayya

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Beca1206 said:
Hey guys!
I would be grateful if someone can please help me with this question.
kindle sketch the graph!
its taken from Oct/Nov 2011
3 (i) Sketch, on a single diagram, the graphs of y = cos 2q and y = 1
2 for 0 ≤ q ≤ 2p. [3]
(ii) Write down the number of roots of the equation 2 cos 2q − 1 = 0 in the interval 0 ≤ q ≤ 2p. [1]
(iii) Deduce the number of roots of the equation 2 cos 2q − 1 = 0 in the interval 10p ≤ q ≤ 20p. [1]
Click to expand...

doc.png
 
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