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IGCSE MATHS Doubts

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Vin:

--- Quote from: nanotaha on May 16, 2010, 11:34:44 am ---Help! :(
Maths (IGCSE)
May June 2000
Q1.
(a) (i) (ii) (iii)
(b)

How do you find them?  :-\

--- End quote ---

SORRY FO THE DELAY !! .. my computer shut down unexpectedly and had to type ALL of this again !! =@
also dunno if the diag might help much..

For these types of sums always remember “y-intercept” ( c )

y = mx + c

this is a common equation for all equations of graphs ..
y-intercept means where the equations ‘cuts’ the y-axis

in this one y= x + 2 .. it cuts at 2 .. u got 1.a)  ;)

so the coordinates of P  would be (0,2)

for ii)  if u notice Q is at y=0

so substitute 0 in 3x + 4y = 22  to find x

tht would be
3x  + 4 x 0 = 22
3x = 22
x = 7.3

so coordinates of Q = (7.3 , 0)

iii) for this R is the intersection .. so tht means at tht point BOTH the equations should be equal ..
so y = x+2 (eqn1)  would be equal to 3x  + 4y = 22 (eqn2)
so lets find the y for R ..
rearrange 3x  + 4y = 22 to
y = 22 – 3x
     ---------
         4
As eqn1 = eqn2
   22 – 3x
 ----------  = x + 2
       4
22 – 3x = 4x + 8
7x =14
X = 2

Now put “x=2” in any of the eqn ..

U’ll get y =4

so coordinates for R = (2 , 4)

b) is a direct question .. u hav to state some inequalities that lie in the region OPRQ.

y >= 0
y =< x + 2
3x + 4y =< 22

Define this region .. for this u need understand the concept .. two eqns are already given .. the region is ‘less than’ both of them .. third would be
y >= 0 there is no negative quadrant


..

princess12:
can any 1 explain me transformation
urgently please fast
  ??? ??? ??? ??? ??? ??? ??? ??? ??? ??? ??? ??? ??? ???

Vin:

a lot to explain .. want something in specific ??

Dibss:
can someone please explain how to fully describe a shear and stretch with reference to any pastpaper qs if possible?

princess12:
yes ok can u explain me in a something specific ok

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