Answer:
The numbers are 17 and 5
Step-by-step explanation:
x + y = 22
x - y = 12
Add y to both sides of the equation
x = 12 + y
Substitute new value for x into first equation
12 + y + y = 22
Add the y's
12 + 2y = 22
Subtract 12 from both sides
2y = 10
y = 5
22 - 5 = 17
The numbers are 17 and 5
Hope this helps :)
Answer:
The 10th term of the sequence is:
Step-by-step explanation:
Given the number
729, 243, 81, 27...
A geometric sequence has a constant ratio 'r' and is defined by
Computing the ratio of all the adjacent terms
The ratio of all the adjacent terms is the same and equal to
also
Therefore, the nth term is computed by:
Putting n = 10 to find the 10th term
Therefore, the 10th term of the sequence is:
Answer:
126 different symbols can be represented in Morse code
Step-by-step explanation:
We need to sum up the number of sequences using one single place, two places, three places, four places and so on until sequences of six places (dots and dashes).
For each case we use the fundamental counting principle.
For one single place we may have 2 possible sequences (a dash or a dot)
For two places (example: .. or ._) we may have 2*2 sequences, since each place may be filled with either dash or dot (2 possible ways) and then we multiply the ways each place can be filled, thus
Similarly, for three places we may have 2*2*2 sequences, thus
For four places we may have 2*2*2*2 sequences, thus
And so on.
So, notice the total up to arrangements of six symbols, is:
first get all variables on the same side, then use elimination to solve.
x = -3
y = -11
(sqrt2x - 1)^2 = (1)^2
2x - 1 = 1
2x = 2
x = 1