Mr. Baker’s competitor, Waxy Business, also sells candles. The competitor’s total profit from selling boxed votive candles and f
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<u><em>Answer:</em></u>
The distance is which is approximately equal to 8.602 units
The midpoint is (8.5 , 5.5)
<u><em>Explanation:</em></u>
<u>1- Getting the distance:</u>
<u>The distance between two points can be calculated using the following rule:</u>
<u>The given points are:</u>
(5,2) represents (x₁ , y₁)
(12,7) represents (x₂ , y₂)
<u>Substitute with the givens in the above equation to get the distance as follows:</u>
<u>2- Getting the midpoint:</u>
<u>The midpoint of two points is calculated as follows:</u>
<u>The given points are:</u>
(5,2) represents (x₁ , y₁)
(12,7) represents (x₂ , y₂)
<u>Substitute with the givens in the above equation to get the distance as follows:</u>
Hope this helps :)
Answer:
Step-by-step explanation:
In this system we have the force of the spring and the gravitational force. The equation that describes that is
where y0 is the equilibrium position when the string is free and y0+y is the new equilibrium position when the object is hanged of the string. By replacing by derivatives we have
the solution for this differential equation is (by using the characterisic polynomial)
hope this helps!!