3 years ago

Two trains leave stations

Mathematics

2 answers:

gavmur [86]3 years ago

7 0

Roughly one and a half hours in

Nat2105 [25]3 years ago

4 0

About 1 and a half hours

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What is the slope of the line passing through (-3, 5) and (5, -3)?

Slav-nsk [51]

Dy/dx, ie., the difference in y divided by the difference in x. If you have two points A and B, sort them in ascending order of x.

dx = 5 - -3 = 8 (x coordinates of B minus x coordinate of A)
dy = -3 - 5 = -8 (y coordinate of B minus y coordinate of A)

dy/dx = -1

So the slope is -1. The equation of the line is y=2-x.

5 0

3 years ago

A person is strolling along a moving walkway at a constant velocity of +1.00 m/s with respect to the walkway, which moves at a c

Bezzdna [24]

Refer to the diagram shown below.

The velocity of the person on the walkway relative to the ground is the velocity of the walkway (relative to the ground) plus the velocity of the person relative to the walkway.
It is
1.0 + 0.5 = 1.5 m/s

The person on the ground moves at - 0.2 m/s, which is in the opposite direction to that of the walkway and the person on the walkway.
Therefore the velocity of the person on the walkway relative to the person on the ground is
105 - (-0.2) = 1.7 m/s

Answer: 1.7 m/s