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UNO [17]
3 years ago
7

The NYC subway system has a total of 850 miles of train tracks, and a NYC subway train has an average speed of 17.4 mph. If you

laid all 850 miles of track end-to-end in one big circle, how much time would it take to ride a NYC subway train around the entire circumference of that circle?
Mathematics
1 answer:
AnnyKZ [126]3 years ago
8 0

Answer:48.85 hr

Step-by-step explanation:

Given

The length of the train track is L=850\ miles

the average speed of the train is v_{avg}=850\ mph

If this track is laid on to a big circle, then the length is equivalent to the circumference

time is taken to cover the circumference is given by

\Rightarrow t=\dfrac{L}{v}\\\\\Rightarrow t=\dfrac{850}{17.4}=48.85\ hr

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Read 2 more answers
Identify the vertex and the axis of symmetry for y=-(x+3)^2+1
Alex
<u>Vertex</u>
y = -(x + 3)² + 1
y = -(x + 3)(x + 3) + 1
y = -(x² + 3x + 3x + 9) + 1
y = -(x² + 6x + 9) + 1
y = -x² - 6x - 9 + 1
y = -x² - 6x - 8
-x² - 6x - 8 = 0
x = <u>-(-6) +/- √((-6)² - 4(-1)(-8))</u>
                      2(-1)
x = <u>6 +/- √(36 - 32)</u>
                -2
x = <u>6 +/- √(4)
</u>           -2<u>
</u>x = <u>6 +/- 2
</u>          -2
x = <u>6 + 2</u>       x = <u>6 - 2</u>
        -2                  -2
x = <u>8</u>             x = <u>4</u>
     -2                 -2
x = -4            x = -2
y = -x² - 6x - 8
y = -(-4)² - 6(-4) - 8
y = -(16) + 24 - 8
y = -16 + 24 - 8
y = 8 - 8
y = 0
(x, y) = (-4, 0)
or
y = -x² - 6x - 8
y = -(-2)² - 6(-2) - 8
y = -(4) + 12 - 8
y = -4 + 12 - 8
y = 8 - 8
y = 0
(x, y) = (-2, 0)

<u>Axis of Symmetry</u>
The axis of symmetry is equal to -3.
<u />
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4 years ago
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