X ·2 = 12x - 15
2x = 12x - 15
2x + (-12x) = (12x - 15) + (-12x)
Result: x = 3/2
Answer:
A. y = 2x -9
B. y = -1/2x +1
Step-by-step explanation:
The given line is in slope-intercept form
y = mx + b
where m is the slope. For your given line, the slope is 2.
A. A parallel line will have the same slope. It is convenient to start with a point-slope form of the equation for the line:
y = m(x -h) +k . . . . . for slope m through point (h, k)
You want the equation of the line through (4, -1) with slope 2, so its equation is ...
y = 2(x -4) -1
Simplifying to slope-intercept form, this becomes ...
y = 2x -8 -1
y = 2x -9
___
B. A perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line. That slope is ...
m = -1/2
As above, the point-slope form of the perpendicular line is ...
y = -1/2(x -4) -1
y = -1/2x +1 . . . . . after simplification
jStep-by-step explanation:
I cannot see the question
How sad. You were going along so nicely there, with a fascinating problem
that would be fun to work on, and then you suddenly fell off over the edge.
"Which of these ..." always means "Here's a list of choices. Pick out the
correct answer from the list." So we know that there was a list of choices
right there, where you copied the question from. But when you finished
copying the question and reached the list of choices, you stopped there,
never copied the list, and went away to do something else instead.
Without that list, there's no way for us to answer the question "Which of these...".
Question:
What is the common ratio between successive terms in the sequence?
27, 9, 3, 1
Answer:
common ratio = 
Step-by-step explanation:
In a geometric progression, the common ratio, r, is the ratio of a term in the sequence to a preceding term in that same sequence. In other words, the common ratio is found by dividing a term by the term just before it. For example, if the geometric sequence is:
a, b, c, d...
The common ratio is found by any of the following;
r =
----------(i)
r =
-----------(ii)
r =
------------(iii)
Any of equations (i) through (iii) will give the common ratio of the sequence.
============================================================
Now, from the question, the given sequence is;
27, 9, 3, 1
To get the common ratio, just divide the second term (9) by the first term (27) i.e
r =
= 
OR
You can also divide the third term (3) by the second term (9). i.e
r =
= 
OR
You can choose to divide the fourth term (1) by the third term (3). i.e
r = 
Which ever adjacent terms you choose gives you the same result. Therefore, the common ratio of the given sequence is 