9514 1404 393
Answer:
C
Step-by-step explanation:
The step shown indicates that y was eliminated from the equations. For choices A, B, D, this is done by adding the equations together (the y-coefficients are opposites). The result of doing that gives x-terms of 4x, 0x, and 0x, respectively. These x-terms do not match the one given: 2x.
For choice C, the y-term is eliminated by subtracting twice the second equation from the first. Doing that gives ...
(4x +2y) -2(x +y) = (14) -2(3)
4x +2y -2x -2y = 14 -6 . . . . eliminate parentheses
2x = 8 . . . . . . . . . . . . . . collect terms
Answer:
58%
Step-by-step explanation:
total is 50 and 29 has been collected, so this can be expressed as 29/50. when divided is 0.58 multiply it by 100 and you get 58%
Answer:
0
Step-by-step explanation:
(sin(2n) − 1) / (sin n − cos n)
-(1 − sin(2n)) / (sin n − cos n)
-(1 − 2 sin n cos n) / (sin n − cos n)
-(sin² n − 2 sin n cos n + cos² n) / (sin n − cos n)
-(sin n − cos n)² / (sin n − cos n)
-(sin n − cos n)
cos n − sin n
Limit as n approaches π/4 is 0.
Answer:
<h2>90°</h2>
Step-by-step explanation:
First you must calculate the module or the magnitude of both vectors
The module of u is:
The module of v is:
Now we calculate the scalar product between both vectors
Finally we know that the scalar product of two vectors is equal to:
Where 
is the angle between the vectors u and v. Now we solve the equation for
the answer is 90°
Whenever the scalar product of two vectors is equals to zero it means that the angle between them is 90 °
Answer:
1. CYNARG
Step-by-step explanation:
This a example of Caesar's Cipher, in which each letter in the original word leads to a ciphered letter according to the following equation:
In which C is the index of the Ciphered letter in the alphabet, P is the index of the original letter and o is the offset.
Finding the offset:
O is coded B
O is the 15th letter in the alphabet, so 
.
B is the 2nd letter in the alphabet, so 
So
PLANET:
P
P is the 16th letter in the alphabet.
So P is coded C.
L
L is the 12th letter in the alphabet:
L is coded Y(25th letter in the alphabet)
A
A is the 1st letter in the alphabet
A is coded N
N
N is the 14th letter in the alphabet
N is coded A
E
E is the 5th letter in the alphabet
E is coded R
So the correct answer is:
1. CYNARG
