Slopt in form ax+by=c is -a/b
-3/3=-1
slope is -1
intercept in form ax+by=c is c/b
63/3=9
slope is -1
intercept is at y=9
Answer: The formula to calculate the radius of a sphere if we know the volume is: Cubic root [3V/(4∏)].
Solution:
The formula for the volume (V) of a sphere is:
V=(4∏/3) r^3
Solving for r: Multiplying both sides of the equation by 3/(4∏):
3/(4∏) V = 3/(4∏) [(4∏/3) r^3]
3V/(4∏) = r^3
Cubic root both sides of the equation (raising to the power 1/3):
Cubic root [3V/(4∏)] =Cubic root (r^3)
Cubic root [3V/(4∏)] = r
r = Cubic root [3V/(4∏)]
Answer:
2x^3 + 6x^2
Step-by-step explanation:
Volumen = area * height
You already had the area which is:
x^2 + 3x
and the heigth is 2x
Volumen = (x^2 + 3x)* 2x
Volumen = 2x^3 + 6x^2
Answer:
Simplifying the expression 
so, there is only one power of each base we get 
Option D is correct answer.
Step-by-step explanation:
We need to simply the expression so, there is only one power of each base.
Solving:
We can write it as:
Now using exponent rule: 
Now using the exponent rule: 
the bases should be same
So, simplifying the expression so, there is only one power of each base we get
Option D is correct answer.
