54 = 2(4x-3) + 2(x)
54 = 8x-6 + 2x
60 = 10x
6 = x
so two sides are 6 meters, and the other 2 sides are 21 meters
Answer: 
Step-by-step explanation:
Slope of two lines that are perpendicular to each other is 1.
If one line is
, then its slope = 3 [by comparing to the linear equation y= mx+c, here m=3]
Let n be the slope of the required line, then

Equation of line with slope n and passers through (a,b) is

Equation of line with slope n=
and passes through point ( 0,-4) :

Hence, Required equation : 
Answer:
Therefore the friends will have to buy 511 feet of fence (rounding up) or 510 feet of fence ( to the nearest foot).
Step-by-step explanation:
i) perimeter of rectangular yard = 319 feet
ii) perimeter of yard of friends 
iii) Therefore the friends will have to buy 511 feet of fence or 510 feet of fence ( to the nearest foot).
Since
(density = mass/volume), we can get the mass/weight of the liquid by integrating the density
over the interior of the tank. This is done with the integral

which is more readily computed in cylindrical coordinates as

Answer:
a+4b-24
Step-by-step explanation:
You have to multiply the entire equation by 4, which get you a+4b-24