Technology comes from the Greek root 
, meaning art or craft.
For the Greeks, a straightedge and compass was technology.
The nice thing about a straightedge and compass construction of any length is that there's always a corresponding algebraic form consisting of natural numbers combined via addition, subtraction, multiplication, division and square rooting (of positive numbers). So we get an "exact" answer, at least using radicals.
Compare that to the typical calculating technology we use today where the square roots turn into approximations. The calculator is worse, turning an exact answer into an approximation.
Straightedge and compass constructions play a large role in the development of mathematics but they're not really better, it's just how things went. By restricting ourselves to straightedges (linear equations) and compasses (circles, quadratic equations) we restricted the possible lengths we could construct. Understanding exactly how propelled mathematics forward for a couple of thousand years.
Answer:
Step-by-step explanation:
1.)
3x=3
x=1
2+y=0
y=-2
solution: (1,-2)
2.)
6y = -36
y = -6
-4x+12 = -12
-4x=-24
x = 6
solution: (6,-6)
Step-by-step explanation:
(x - 2)(2x + 3)
=2x²+3x-4x-6
=2x²-x-6
Answer:
(a) LM=12 units, LN=35 units, MN=37 units
(b)8 84 units
(c) 210 square units
Step-by-step explanation:
(a)
Since points L and M have same x coordinates, it means they are in the same plane. Also, since the Y coordinates of L and N are same, they also lie in the same plane
Length 
Length 
Length
Alternatively, since this is a right angle triangle, length MN is found using Pythagoras theorem where
Therefore, the lengths LM=12 units, LN=35 units and MN=37 units
(b)
Perimeter is the distance all round the figure
P=LM+LN+MN=12 units+35 units+37 units=84 units
(c)
Area of a triangle is given by 0.5bh where b is base and h is height, in this case, b is LN=35 units and h=LM which is 12 units
Therefore, A=0.5*12*35= 210 square units
Answer:
They cost 730 all together.
Step-by-step explanation:
One the surface area of the hall is 310m^2.
so, 310 divided by 25 is 12.4, which means they need 13 tin of paint.
The cost for it is 13*10 which is 130.
For the area of the floor, it is 40*15, which is 600m^2.
Which costs 600.
So, 600+130=730.
