Find the common difference, d, given that 8x-3, 4x+1, 2x-2 are consecutive terms of an arithmetic sequence.
A)1/6
B) -10
C) 10
D) 5

B

Step-by-step explanation:

We are given that:

Are consecutive terms of an arithmetic sequence.

And we want to determine the common difference d.

Recall that for an arithmetic sequence, each subsequent term is d more than the previous term.

In other words, the second term is one d more than the first term. So:

And the third term is two d more than the first term. So:

We can isolate the d in the first equation:

As well as the second:

Then by substitution:

Solve for x:

The isolated first equation tells us that:

Therefore:

Our final answer is B.

i will with my problems and all the other things that need to   be on by the way

step-by-step explanation:

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9