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:
1. 8 hours 2. 12 pumps
Step-by-step explanation:
1. 80 ×10=800
there are 800 miles between abuja and lagos
800÷100=8
it will take 8 hours
2. with 3 pumps it takes 36 hours. you need to be 4 times quicker so you need 4 times more pumps.
4×3=12 pumps
Answer:
For x = 10:

For y = - 3:

Step-by-step Explanation:
Before we start let's recall the formula for the linear equations.

So first let's solve for x=10:

Move 10 to the other side.

As there is no y given we will simply write 0y.

Now let's solve for y=-3:

Move -3 to the other side.

As there is no x given we will simply write 0x.

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Answer:
it is 45 because a triangle with tow sides are same