The line has equation
where 
is any real number. 
is the line containing all scalar multiples of the vector (-1, 4, -3); we add (4, -4, 8) to shift the line so that it passes through this point while remaining parallel to the the line.
To get the symmetric form, we have
Solving for in each equation gives the symmetric form,
The line has intercepts in the coordinate planes wherever either the 
, 
, or 
coordinate is 0.
-plane:
-plane:
-plane:
Morse code is essentially the same as binary. That is, there are two "digits", a dot or a dash.
There are 26 letters in the English alphabet. Clearly, we can't just use one dot or dash, since that could only encode 2 letters at the most. We can't use two symbols because that could only encode 4 letters at the most. Similarly, 3 symbols means
letters at most.
We have to select the smallest power of 2 that exceeds or is equal to 26. In this case,
, so we would have to use up to 5 symbols to encode each letter in the alphabet.
Step-by-step explanation:
you multiply the number of lemonades by 1.80 because you're just basically adding 1.80 from each lemonade you sell
Jk=8x+6
J=(8x+6)/k
kL=6x+20
L=(6x+20)/k
JL=(8x+6)/k * (6x+20)/k
=(48x²+196x+120)/k²
