If these are terms of a geometric sequence, they have a common ratio. That is, ...
... (k -1)/(2(1 -k)) = (k +8)/(k -1)
... (k -1)² = 2(1 -k)(k +8) . . . . . multiply by the product of the denominators.
... k² -2k +1 = -2k² -14k +16 . . . eliminate parentheses
... 3k² +12k -15 = 0 . . . . . . . . put in standard form (subtract the right side)
... 3(k +5)(k -1) = 0 . . . . . . . . . factor
Possible values of k are ... -5, +1. The solution k=1 is extraneous, as it makes the first two terms 0 and the third term 8. (It doesn't work.)
The value of k is -5.
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The three terms are 12, -6, 3. The common ratio is -1/2.
Step-by-step explanation:
Since it is asking for a perpendicular line, we take the reciprocal of the slope in the given equation to use as the slope for the perpendicular line.
In y = x + 2, m = 1. However, for a perpendicular line we flip and multiply by a negative 1.
(Example: If m = 3, we would take the reciprocal of it and it turns into m = -1/3. If m = - 1/4, we would take the reciprocal of it and it turns into m = 4.)
So, the m = 1 turns into a m = -1.
Now, you can use the point (4,-1) to form a point-slope equation first.
y-(-1) = -1(x-4)
Then, use basic algebra to form a slope-intercept form equation.
y + 1 = -x + 4
y = -x +3
Answer:
x = -2
Step-by-step explanation:
Please mark Brainliest when able, for showing work.
Put the numbers over 1 and zeros for how ever many decimal places you have.
here on top write 375 and on the bottom 1000 because you have three decimal places. so 375/1000
