In the figure below, N lies between M and P.
1 answer:
The position of N on the line segment is at the -14 mark
<h3>What are coordinates?</h3>A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
<h3>How to determine the location of N?</h3>The complete question is added as an attachment
From the attachment, we have
The ratio is given as:
MN : NP = 7 : 2
Also, we have
Location of M = -27
Location of P = -9
The location of N is then calculated as
N = MN/(MN + NP) * (M - P)
Substitute the known values
N = 7/(7 + 2) * (-27 + 9)
Evaluate the sum
N = 7/9 * -18
Evaluate the product
N = -14
Hence, the location of point N is -14
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Answer:
8
Step-by-step explanation:
Nth term of a geometric sequence is given as:
...(1)
Plugging n = 9, a = 3 and r = 2 in the above equation, we find:
... (2)
Comparing equations (1) & (2), we obtan:
(n - 1) = 8