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DedPeter [7]
3 years ago
9

14

Mathematics
1 answer:
Nuetrik [128]3 years ago
5 0

Answer:

Distance LM = 5.20 unit (Approx.)

Step-by-step explanation:

Given coordinates;

L(1, 4, 7) and M(2, 9, 8)

Find:

Distance LM

Computation:

Distance between three-dimensional plane = √(x2 - x1)² + (y2 - y1)² + (z2 - z1)²

Distance LM = √(2 - 1)² + (9 - 4)² + (8 - 7)²

Distance LM = √(1)² + (5)² + (1)²

Distance LM = √1 + 25 + 1

Distance LM = √27

Distance LM = 3√3 unit

Distance LM = 3(1.732)

Distance LM = 5.196

Distance LM = 5.20 unit (Approx.)

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shepuryov [24]

A fisherman can row upstream at 4 mph and downstream at 6 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. The distance of how far the fisherman row if the entire trip took 2 hours is  9.6 miles

<u />

The speed of an object refers to the change of the object's distance within a specified time.

Mathematically, we can have;

\mathbf{Speed =\dfrac{distance}{time}}

Distance = speed × time

From the information given;

  • The fisherman row upstream for 4 miles/ hour.
  • The distance covered by the fisherman = 4 × t₁  ----- (1)

  • The fisherman row downstream at 6 miles/ hour
  • The distance covered by the fisherman = 6 × t₂  ------ (2)

  • SInce it took the entire trip 2 hours, we can infer that:

  • t₁ + t₂ = 2
  • t₂ = 2 - t₁

From equation (2), replace the above value of t₂ into equation (2)

  • d = 6 t₂
  • d = 6(2 - t₁)
  • d = 12 - 6t₁

From equation (1)

  • d = 4 t₁  

Equation both distance together, we have:

  • 12 - 6t₁ = 4t₁
  • 12 = 4t₁ + 6t₁
  • 12 = 10t₁
  • t₁ = 12/10
  • t₁ = 1.2  hours

From t₂ = 2 - t₁

  • t₂ = 2 - 1.2
  • t₂ = 0.8 hours

From d = 4t₁

Replace t₁ with 1.2 hours

  • d = 4(1.2 hours)
  • d = 4.8 miles

Also, from d = 6t₂

  • d = 6(0.8)
  • d = 4.8 miles

Therefore, we can conclude that the distance of how far the fisherman row if the entire trip took 2 hours is (4.8+4.8) miles = 9.6 miles

Learn more about distance here:

brainly.com/question/12319416?referrer=searchResults

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Step-by-step explanation:

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