Answer:
Step-by-step explanation:
The volume of a cylinder, 
is given by the formula,
Where, 
is the radius and 
is the height of the cylinder.
Here, 
, 
. Plug in these values and solve for radius, .
This gives,
Taking square root both sides, we get
Therefore, the radius of the cylinder can be expressed as .
345 i love your mom and I love your hair
-2x + 5 < 7
-2x + 5 < 7
<u> -5 -5 </u> deduct 5 from both sides
-2x < 2
<u>÷ -2 ÷ -2 </u> divide both sides by negative 2. Because of the division
x > -1 using a negative number, the sign is then reversed.
from < it becomes >.
The value of x should be greater than -1. It can be 0, 1, 2, so on...
To check: Revert back to the original sign which is <.
x = 1
-2x + 5 < 7
-2(1) + 5 < 7
-2 + 5 < 7
3 < 7
Answer:
Different ways to solve a system of linear equations:
- isolate one variable in one equation and replace it in the other equation
- multiply/divide one equation by a constant and then add/subtract it to the other one, so that only one variable remains
- graph the equation and look at the intersection point
If you graph the system:
- there is only one solution if the lines intersects at only one point
- there is no solution if the lines don't intersect each other (they are parallel)
- there are infinitely many solutions if the lines overlap each other (they are the same equation multiplied by some constant)
Step-by-step explanation:
1st system
y = -x – 7
y = 4/3 x – 7
solution: x= 0, y = 7
2nd system
y = -3x – 5
y = x + 3
solution: x = -2, y = 1
3rd system
y = -2x + 5
y = 1/3 x – 2
solution: x = 3, y = -1
4th system
3x + 2y = 2
x + 2y = -2
solution: x = 2, y = -2
5th system
x + 3y = -9
2x – y = -4
solution: x = -3, y = -2
6th system
x – 2y = 2
-x + 4y = -8
solution: x = -4, y = -3
7th system
5x + y = -2
x + y = 2
solution: x = -1, y = -3
10(3+4)= 30+40
I factored the 10 and put it on the outside
