Answer:
a = 
Step-by-step explanation:
Given
G = 4ca - 3ba ← factor out a from each term on the right side
G = a(4c - 3b) ← divide both sides by (4c - 3b)
a = 
The first step to solving an equation like this is to find the slope of a line that will be perpendicular to the line given. The slope of a line that's perpendicular to another line is the negative reciprocal. The negative reciprocal of -1/5 is 5. So, so far our equation is y = 5x + b. Now, to find what b is equal to, we should substitute the values of x and y from the point (1,2) since we know that our line goes through the point. Our equation becomes:
2 = 5 + b
b= -3
That means that the equation of our new line is y = 5x - 3
Just finished doing the math and the correct answer should be B: 5.3 Hope this helps:)
An arithmetic sequence is a sequence in which the difference between each consecutive term remains same (constant).
The explicit formula for an arithmetic sequence is
, where a is first term of sequence, d is the common difference between consecutive terms.
A) We can see from Julio's swimming distance that it is in arithmetic sequence as after every successive training session Julio's swimming distance increased by 0.30 miles.



Therefore, we can see that Julio's training schedule is an arithmetic sequence.
B) Let us find Julio will take how many days to swim 2.95 miles by using explicit formula.

Let us substitute our given information in above formula.




We are told that Julio swims every two days, this implies that he would swim on alternate days. So he will swim 2.95 miles on 10*2 =20th day.
Let us find 20th day will be which day. As Julio started his training schedule on Tuesday, 20th day will be a Sunday. Therefore, Julio will swim for 2.95 miles on a Sunday.
--------------3, 6, 9,12,15,18---------------