What is the common ratio between successive terms in the sequence? 27, 9, 3, 1, one-third, one-ninth, StartFraction 1 over 27 En
2 answers:
Answer:
Step-by-step explanation:
The given sequence is
This sequences comprehend a geometric sequence, because it's obtained by dividing each element by 3, as follows
Therefore, the reason is , which consists in dividing each term by 3, it's the same if we multiply each term by
.
So, the right choice is the first option, one-third.
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Answer:
A, B, and C
Step-by-step explanation:
A) We can see if this is a horizontal line if its slope is 0. Slope is change in y divided by change in x, so: slope = . Thus, this is a horizontal line and the statement is correct.
B) Any equation of the form x = k, where k is a constant, will always be a straight line. Let's see if it goes through (-8, 3) by plugging in the values of -8 in for x and 3 in for y in the equation.
Clearly, we don't have a y, so we just put in the -8 for the x: -8 = -8. Since this is a true statement, we know that x = -8 does go through (-8, 3). So, this is a true statement.
C) We can see if this is a vertical line if its slope is undefined (for example, if the denominator is 0, it's undefined). Slope = = undefined. So, this is a vertical line and the statement is true.
D) As a basic fact, any point on a horizontal line will have the same y coordinate. However, their x coordinates may vary. Thus, the statement is false.
So, the answers are A, B, and C.
Hope this helps!