Answer:
D. 9:1
Step-by-step explanation:
The formula for the volume of a cylinder is πr² · h (pi · radius² · height) (use 3.14 for pi).
The two right circular cylinders have the same height. The larger cylinder has a radius that is three times the size of the smaller radius.
4 · 3 = 12
However, in the equation for volume, the radius is squared. Because of this, the larger cylinder is 9 times the size of the smaller cylinder because 3² = 9.
You can check your work by finding the volume of the two cylinders using the volume formula πr² · h:
3.14 · 4² · 5 = 251.2
3.14 · 12² · 5 = 2,260.8
The cylinder with a radius of 12 cm is 9 times the size of the cylinder with a radius of 4 cm.
2.260.8 ÷ 9 = 251.2
I’m guessing it’s going to be third power
Answer:
(5x-3)(2x-5)
Step-by-step explanation:
10x^2 - 31x + 15
=(10x^2-6x)+(-25x+15)
=2x(5x-3)-5(5x-3)
=(5x-3)(2x-5)
I hope this helps!
17 and 1
There is no other multiples because 17 is a prime number and prime number can only be multiplied by 1 and itself.
Answer:
(- 2, - 4 )
Step-by-step explanation:
Given the 2 equations
3x - 2y = 2 → (1)
5x - 5y = 10 → (2)
Multiply (1) by 5 and (2) by - 3, then add to eliminate x
15x - 10y = 10 → (3)
- 15x + 15y = - 30 → (4)
Add (3) and (4) term by term to eliminate x , that is
5y = - 20 ( divide both sides by 5 )
y = - 4
Substitute y = - 4 into either of the 2 equations and solve for x
Substituting into (1)
3x - 2(- 4) = 2
3x + 8 = 2 ( subtract 8 from both sides )
3x = - 6 ( divide both sides by 3 )
x = - 2
Solution is (- 2, - 4 )
