-(z + (-17)) = 12 + 17
-(z - 17) = 12 + 17
Distribute -1:
-z + 17 = 12 + 17
Subtract 17 to both sides:
-z = 12
Multiply -1 to both sides:
z = -12
Answer:
When increasing the radius 3 times the volume increases 9 times and when it is reduced to a third the volume decreases 9 times
Step-by-step explanation:
We have that the formula for the volume of a cone is:
Vc = pi * (r ^ 2) * h
We first calculate the original volume, where the radius is 2 and the height is 9, replacing:
Vc = 3.14 * (2 ^ 2) * 9
Vc = 113.04
Now if the radius is tripled it would be: 2 * 3 = 6, the radius would be 6, replacing:
Vc = 3.14 * (6 ^ 2) * 9
Vc = 1017.36
If we compare:
1017.36 / 113.04 = 9
This means that when the radius is tripled, the volume increases 9 times.
When if re reduces to a third the radius would be: 2/3, replacing:
Vc = 3.14 * ((2/3) ^ 2) * 9
Vc = 12.56
113.04 / 12.56 = 9
Which means that by reducing it to a third the volume becomes 9 times smaller.
Answer:
The solution set is: x>36
Step-by-step explanation:
We are given that we have to subtract 3 times of some number 'x' from 18 such that the resulting equation is less than -90.
this means that : 18-3x<-90
on solving the inequality by adding 3x on both side and adding 90 on both side we get that
108<3x
now on dividing both side by 3 we get that
x>36
Hence our solution set is: x>36
Answer:
y=4/3x+2
Step-by-step explanation:
y=mx+b
b is y intercept, and in this case, 2
m is the slope, and in this case, 4/3
Hope this answers your question.
