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!!
Answer:
a)2x-3y
b)4(9a-4)
Step-by-step explanation:
<h3>a)</h3>
we want to expand the following expression:

well to do so we consider distributive property thus distribute:

reduce fraction which yields:

simplify Parentheses:

<h3>b)</h3>
in the expression there's a common factor of 4 therefore factor it out:

Answer:
35
Step-by-step explanation:
Bobby is at negative 50 and his sister is above 15 feet (positive) so it is 35
Original height = original width = x mm
1. She made an enlarged copy...
height = 2x
width = 2x
2. She cut off a rectangle...
height = 2x
width =

3.She doubled the width...
height = 2x
width =

height * width = area

Original height was
162 mm
Answer:
Difference between multiplication property of equality and inequality
The only difference is: If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!
Step-by-step explanation: