Answer: C. 4x - 6y = 3
Step-by-step explanation:
We only need to find a line with the same slope.
We will put 4x - 6y = 3 in slope intercept
4x - 6y = 3
-6y = -4x + 3
y = 4/6 - 3/6
y = 2/3 - 1/2
There you have it, a line with the same slope, which means it's parallel.
The sum of the given sequence is -24846.
<u>Step-by-step explanation:</u>
The given Arithmetic sequence is 46 + 42 +38... +(-446) +(-450).
- The first term of the sequence = 46
- The last term of the sequence = -450
- The common difference ⇒ 46 - 42 = 4
<u>To find the number of terms in the sequence :</u>
The formula used is 
where,
- n is the number of terms.
is the late term which is -450.
is the first term which is 46.- d is the common difference which is 4.
Therefore, 
⇒ 
⇒ 
⇒ 
⇒ n = 123, since n cannot be negative.
∴ The number of terms, n = 123.
<u>To find the sum of the arithmetic progression :</u>
The formula used is 
where,
- S is the sum of the sequence.
is the first term which is 46.
is the late term which is -450.
Therefore, 
⇒ 
⇒ 
⇒ 
∴ The sum of the given sequence is -24846.
The given number which is 2A193A411 is written in Base 11. Base 11 number is also called undecimal system. The digits of Base 11 number are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. Since 10 is not accepted as a digit, then we have to substitute a variable which is A = 10. Hence, the digits of a Base 11 number are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and A.