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A section of a railway has a slope of approximately 0.37. In this section, a vertical change of one unit corresponds to a horizontal change of what length? Round your answer to the nearest hundredth.

Respuesta :

bartdrinksmalk
Slope [tex]\frac{dy}{dx}=0.37[/tex]

We are given [tex]dy=1[/tex]
So [tex]\frac{1}{dx}=0.37[/tex]
⇒[tex]dx=\frac{1}{0.37}[/tex]≈2.70
fichoh

The horizontal change in length which is obtained using the slope formula is 2.70 units.

The slope can defined as the ratio of rise to the run ; which is the ratio of the vertical change to the horizontal change.

Hence ; [tex] slope = \frac{vertical \:change}{horizontal \:change} [/tex]

Given a vertical change = 1 unit

[tex] 0.37 = \frac{1}{horizontal \:change} [/tex]

[tex] Horizontal change = \frac{1}{0.37} [/tex]

[tex] Horizontal change = 2.702 [/tex]

Therefore, the length of the horizontal change is 2.70 units (rounded to the nearest hundredth)

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