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dangina [55]
3 years ago
13

A 6 cm long spring extends to 9 cm when a 1 kg load is suspended from it. What would be its length if a 2 kg load were suspended

from it?
Mathematics
1 answer:
vampirchik [111]3 years ago
4 0

Answer:

12 cm

Step-by-step explanation:

To calculate the length of a spring with a 2 kg load, compare the displacement of a 1 kg load and adjust accordingly.

When a 1 kg load is suspended from the spring, the spring which is 6 cm stretches to 9 cm. This is 3 cm longer due to the weight. If you attach a weight which is twice as much then the displacement will be twice as much. Instead of stretching an additional 3 cm, it will stretch 2*3 = 6 cm. Add this to the length of the spring and it stretches in total 6 + 6 = 12 cm.

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Is (1, 4) a solution to this system of equations? 8x + 3y = 20 x + 4y = 17
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  4. Multiplication
  5. Division
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  • Left to Right<u> </u>

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

8x + 3y = 20

x + 4y = 17

(1, 4)

<u>Step 2: Check</u>

<em>Plug and verify the coordinates is a solution.</em>

  1. Substitute in point [1st Equation]:                                                                    8(1) + 3(4) = 20
  2. Multiply:                                                                                                             8 + 12 = 20
  3. Add:                                                                                                                   20 = 20 \checkmark
  4. Substitute in point [2nd Equation]:                                                                  1 + 4(4) = 17
  5. Multiply:                                                                                                             1 + 16 = 17
  6. Add:                                                                                                                   17 = 17 \checkmark

∴ Since both equations work out, (1, 4) is a solution to the systems of equations.

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