<h3>
Answer: 3 m/s^2</h3>
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According to Newton's Second Law, we know that
F = m*a
where F is the force applied, m is the mass and 'a' is the acceleration.
We see that this is a direct variation equation for F and a, such that m is the constant of variation. It's similar to how y = kx is also a direct variation equation.
Plug in F = 35 and a = 5 to find m
F = ma
35 = m*5
35/5 = m
7 = m
m = 7
The object has a mass of 7 kg
Our equation F = ma updates to F = 7a
Now plug in the force F = 21 to find 'a'
F = 7a
21 = 7a
21/7 = a
3 = a
a = 3
The acceleration will be 3 m/s^2
Notice how a smaller force applied means that the acceleration has also gone down as well.
2.) 
--> 
So y = -4.
3.) 
Combine like terms:
--> 
Isolate x ---> 
----> 
So x = -2
4.) 
--> 
Combine like terms ---> 
This equation has many possible solutions.
5.) 
--> 
Combine like terms ---> 
----> 
-----> 
So x = -1.
6.) 
Distribute ---> 
This equation has many possible solutions.
Answer: 32w
Step-by-step explanation:
In order to find the length of the hypotenuse, we use knowledge on trigonometric functions which would be sine and is expressed as:
sine (theta) = opposite side / hypotenuse
sine 80 = 4 / hypotenuse
Hypotenuse = 4.1 in <---- OPTION B
Answer:
The equation is 
The slope is m=-4
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
y is the amount left in the saving account
x is the number of weeks
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value
In this problem we have
The slope is equal to
--> is negative because is a decreasing function
The y-intercept or initial value is
substitute
