A spring has a natural length of 20 cm. If a 30-N force is required to keep it stretched to a length of 38 cm, how much work W i
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Answer:
-4 and 4
Step-by-step explanation:
<u>Method 1</u>
Apply Difference of Two Squares Formula:
Given
Rewrite 16 as 4²
Therefore, and
<u>Method 2</u>
Given equation:
Add 16 to both sides:
Square root both sides:
Therefore, x = -4, x = 4
"Jake can mulch a garden in 30 minutes." So, for 1 min Jake can mulch 1/30 part of a garden.
Ross can mulch the park for x minutes. So, for 1 min Jake can mulch 1/x part of a garden.
If they work together, for 1 min they will mulch (1/30 + 1/x) part of the garden.
At the same time, we know, that of they work together they can mulch the garden in 16 min, so for 1 min they will mulch 1/16 part of the garden.
Now, we can write an equation
x≈34.3 (min)