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notka56 [123]
3 years ago
10

Triangle N Q L has centroid S. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form

line segments N R, L P, and Q M. The length of line segment N S is 9 n minus 12 and the length of line segment S R is 3 n.
S is the centroid of triangle NQL.
What is the length of NR?
4 units
8 units
36 units
48 units
Mathematics
2 answers:
Doss [256]3 years ago
3 0

Answer:

36

Step-by-step explanation:

rosijanka [135]3 years ago
3 0

Answer:

36

Step-by-step explanation:

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Analysis of an accident scene indicates a car was traveling at a velocity of 69.5 mph (31.1 m/s) along the positive x-axis at th
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We can find the acceleration via

{v_f}^2-{v_i}^2=2a\Delta x

We have

\left(5.20\dfrac{\rm m}{\rm s}\right)^2-\left(31.1\dfrac{\rm m}{\rm s}\right)^2=2a(115\,\mathrm m)

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Then by definition of average acceleration,

a_{\rm ave}=\dfrac{v_f-v_i}t

so that

-4.09\dfrac{\rm m}{\mathrm s^2}=\dfrac{5.20\frac{\rm m}{\rm s}-31.1\frac{\rm m}{\rm s}}t

\implies\boxed{t=6.33\,\mathrm s}

We alternatively could have found the time without knowing the acceleration. Since acceleration is constant, the average velocity is

v_{\rm ave}=\dfrac{x_f-x_i}t=\dfrac{v_f+v_i}2

Then

\dfrac{115\,\rm m}t=\dfrac{5.20\frac{\rm m}{\rm s}+31.1\frac{\rm m}{\rm s}}2

\implies\boxed{t=6.33\,\mathrm s}

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Answer:

Step-by-step explanation:

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