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Mrrafil [7]
3 years ago
7

What are the coordinates of the point on the directed line segment from (-2,6) to (3,-9) that partitions the segment into a rati

o of 3 to 2?
Mathematics
1 answer:
nikdorinn [45]3 years ago
3 0

9514 1404 393

Answer:

  (1, -3)

Step-by-step explanation:

The point P that partitions AB into the ratio m:n is ...

  P = (mB +nA)/(m+n)

The point you're looking for is ...

  P = (3(3, -9) +2(-2, 6))/(3+2) = (9-4, -27+12)/5 = (5, -15)/5

  P = (1, -3)

You might be interested in
- What is the range of the following set of points: {(3, 4), (7, - 2), (11, – 8)}?
konstantin123 [22]

Answer:

B) {-8,-2,3,4,7,11}

Step-by-step explanation:

range is y

3 0
3 years ago
alex is running in a clockwise direction around a circular track with radius 60 yards. he runs for 20 minutes at a speed of 4 ya
Ganezh [65]

Answer:

  100.9 yards

Step-by-step explanation:

One circuit of the track is a distance of ...

  C = 2πr = 2π(60 yd) = 120π yd.

At Alex's running rate, the distance covered in 20 minutes is ...

  (4 yd/s)(20 min)(60 s/min) = 4800 yd

The number of circuits will be ...

  (4800 yd)/(120π yd/circuit) = 40/π circuits ≈ 12.7324 circuits

The last of Alex's laps is more than half-completed, so the shortest distance to his starting point is 13 -12.7324 = 0.2676 circuits,

That distance is (0.2676 circuits)×(120π yd/circuit) ≈ 100.88 yd

The shortest distance along the track to Alex's starting point is about 100.9 yards.

_____

<em>Additional comment</em>

The exact distance is 120(13π-40) yards. The distance will vary according to your approximation for pi. If you use 3.14, this is about 98.4 yards.

3 0
2 years ago
5. A gold bar weighs 12.6 kg. How many grams does the gold bar weigh?​
charle [14.2K]

Answer:

12600 g

Step-by-step explanation:

a kilogram is a thousand grams

(don't forget to include units)

7 0
3 years ago
Read 2 more answers
Help will give brainliest
Murrr4er [49]

Answer:

Its C

Step-by-step explanation:

3 0
3 years ago
Please I need some steps!
gulaghasi [49]

Answer:

98.875

Step-by-step explanation:

Just add all the hours worked.

Hope this helps! :)

6 0
3 years ago
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