3 /10 = 9 /k what is k
2 answers:
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Answer:
- distance traveled: 30 m
- displacement: 21.4 m
Step-by-step explanation:
You want the distance traveled and the displacement after walking 17 m south and 13 m east.
<h3>Distance</h3>The distance traveled is the sum of the lengths of each leg of the trip:
17 m + 13 m = 30 m
You have traveled a distance of 30 m.
<h3>Displacement</h3>The displacement is the distance from your final position to your starting position. If you draw a diagram of the journey, you see the displacement is the hypotenuse of a right triangle with legs 17 m and 13 m. The Pythagorean theorem can help you find this length:
h = √(a² +b²)
h = √(17² +13²) = √(289 +169) = √458 ≈ 21.401
At the end of your walking, you are 21.4 m from where you started.
Answer:
y = - 400 + 700x
Step-by-step explanation:
Nour's altitude increased at a constant rate from the Dead Sea up to Amman.
Initially, her altitude was 400 meters below from the sea level and then she arrived at an altitude was 1000 meters above sea level arrived to Amman, 2 hours later.
So, she moves (400 + 1000) = 1400 meters in 2 hours.
Therefore, her rate of change of altitude is meters per hour.
Therefore, if y represents Nour's altitude in meters relative to the sea level after x hours then the relationship between the altitude and number of hours is given by
y = - 400 + 700x (Answer)