SUBMISSION: 07/07/2023 FRIDAY
GROUP PROJECT APPLYING COORDINATE
GEOMETRY
THE MATHEMATIC SHIP
Cambridge IGCSE Mathematics Extended
BY: RAHAN & TANVER
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TO: HARUN JOHARI
SUBMISSION: 07/07/2023 FRIDAY
Original picture
Traced picture
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TO: HARUN JOHARI
SUBMISSION: 07/07/2023 FRIDAY
Graphed picture
Coordinates:
A= (-4, -1)
B= (-15, -1)
C= (-12, -5)
D= (11, -5)
E= (14, -1)
F= (10, 1)
G=(-4, 16)
H=(-11, 1)
I=(-4, 1)
J=(-4, 1)
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TO: HARUN JOHARI
SUBMISSION: 07/07/2023 FRIDAY
Lin nam
Gradien
Equatio
𝒙 rang
rang
BE
0
=−1
−15 ≤ ≤ 14
−
BC
−4/3
=-4/3 − 21
−15 ≤ ≤ −12
−5 ≤ ≤ −1
CD
0
=−5
−12 ≤ ≤ 11
−
DE
4/3
=4/3 −19.667
11 ≤ ≤ 14
−5 ≤ ≤ −1
AG
∞
=−4
−
−1 ≤ ≤ 16
GF
−15/14
=-15/14 +11.714
−4 ≤ ≤ 10
1 ≤ ≤ 16
JF
0
=1
−4 ≤ ≤ 10
−
GH
15/7
=15/7 +24.5714
−11 ≤ ≤ −4
1 ≤ ≤ 16
IH
0
=1
−11 ≤ ≤ −4
−
5. midpoint of deck
MP= 14-(-15)
=> 29/2=14.5
=> 14-14.5=-0.5
=> MP= -0.5
the mast is located at -4 thus the mast is not at the center of the deck
6. The longest line.
The mast is 17 units
The deck is 29 units
and the bottom hull is 23 units
so no the mast is not the longest part of the ship
7. perpendicular lines
They are lines AG with BE, HI & JF
8. parallel lines
The lines BE, CD, IH & JF are parallel
4
TO: HARUN JOHARI
SUBMISSION: 07/07/2023 FRIDAY
5
TO: HARUN JOHARI