Jerry started doing sit ups every day. The first day he did 15 sit ups. Every day after that he did 2 more sit ups than he had d
1 answer:
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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
Answer:
D. y = 2x - 2
Step-by-step explanation:
1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:
A line placed in slope-intercept form is represented by the formula . The
, or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.
2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.
We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.
Use the point-slope formula and substitute values for
,
, and
. Since
represents the slope of the line, substitute 2 in its place. Since
and
represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:
So, option D is correct.