276.46 is the surface area of the cylinder
Answer:
1) 2/3
2) 1/2
3) 4/5
4) 3/4
Step-by-step explanation:
4/6 can be divided by 2 to get 2/3 in its simplest
2/4 can be divided by 2 to get 1/2 in its simplest
12/15 can be divided by 3 to get 4/5 in its simplest
6/8 can be divided by 2 to get 3/4 in its simplest
The solution is (6, -8) (solved by graphing with Desmos.com/calculator)
Three consecutive odd integers would be x, x+2, and x+4 assuming x is an odd integer. The smallest of these is x. Two times x is 2x. The greatest integer is x+4. Three times this is 3 (x+4), and if you distribute you get 3x+12. If 2x exceeds this by 15, you would make it 3x+12-15. If you add the like terms, 12+(-15) is -3. So, you have 2x=3x-3. Subtract 3x from both sides. 2x-3x is -1x, or -x. Now we have -x=-3. Divide by -, or -1 on both sides. Now we have x=3. You can substitute x for 3 for any of the consecutive odd integers to find their value.
Answer:
The equation of the line is: 
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope and b is the y-intercept.
Two points:
We have these following two points in this exercise:
x = -6, y = -3, so (-6,-3)
x = 4, y = 3, so (4,3)
Finding the slope:
Given two points, the slope is given by the change in y divided by the change in x.
Change in y: 3 - (-3) = 3 + 3 = 6
Change in x: 4 - (-6) = 4 + 6 = 10
So
Then
Finding b:
We replace one of the points in the equation to find b. I will use (4,3).
The equation of the line is:
