Help!!Math problems!!((+20))

2008-02-22 3:51 pm
Plz help me solve these problems!!>< ((* do not only give me the answers plz...))

http://img141.imageshack.us/img141/9122/cimg1233uv0.jpg

http://img233.imageshack.us/img233/3113/cimg1234bn5.jpg

2a) is that a scalene triangle?

回答 (1)

2008-02-22 4:36 pm
✔ 最佳答案
2
The base is 16 unit, height 6 unit
Using Pythagoras' Theorem, the length of the other two sides are
√(4^2+6^2)=√52
√(12^2+6^2)=√180
Since there is no relationship between these three sides, it is a scalene triangle
(b)
Area
=16*6/2
=48
(c)
perimeter
=16+√52+√180
=36.6275
(d)
The three straight line equations are
4y=-6x
12y=6x
x=0
So the inequalities are
x>=0
3x+2y>=0
x-2y<=0
3
(a)
3x+y<=15
x+3y<=9
x>=0
y>=0
I cannot draw the graph, I can only discrible the method
(b)
First draw the lines 3x+y=15, x+3y=9 and then substitute (1,1) to find the corresponding region.
(c)
draw a family of lines 40x+25y=k
The line with largest value of k (still touch the feasible region) is the answer


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