Answer:
The answer is on the paper. Hope it's correct :)
Let
x be the price for a pound of ham
y the price for a pound of cheese
<span>1.3x +0.8y = 11.28 ....(1)
1.5x +1.2y = 14.76 ....(2)
Lets multiply (1) by -1.2
Lets multiply (2) by 0.8
-1.56x -0.96y = -13.536 .....(3)
</span> 1.2x + 0.96y = 11.808 .....(4)
If we add (3) and (4)
-0.36x = -1.728 ............> x = 4.8
We substitute in (1)
1.3(4.8) +0.8y = 11.28
y = 6.3
Price per pound of ham = x = 4.8
Price per pound of cheese = y = 6.3
To determine if a line is perpendicular to another, you must first determine the slope...
m = y1-y2/x1-x2
m of FK = 3-5/3-6 = -2/-3 = 2/3
m of FJ = 3-2/3-8 = 1/-5
m of FL = 3-0/3-5 = 3/-2
m of KJ = 5-2/6-8 = 3/-2
m of KL = 5-0/6-5 = 5
m of JL = 2-0/ 8-5 = 2/3
In order for two lines to be perpendicular, their slopes must be opposite reciprocals...
FK is perpendicular to FL
FK is perpendicular to KJ
JL is perpendicular to FL
JL is perpendicular to KJ
FJ is perpendicular to KL
