Let x represent radius of circle.
We have been given that the height of a cylinder is twice the radius of its base. So height of cylinder would be 
.
Now we will use volume of cylinder formula to our given problem.
, where,
r = Radius of base of cylinder,
h = Height of cylinder.
Upon substituting our given values, we will get:
Therefore, our required volume expression would be 
.
You'll need to convert both speeds into yards per minute.
12 mph = 12 mph 1760 yd 60 min
---------- * ------------ * ----------
1 mile 1 hr
Note that "miles" cancels. So does "hours." Finish this work.
Then convert 4.4 ft/sec into yards per minute.
Then, finally, compare your two rates via subtraction of the smaller from the larger.
y = -1 + 3/8x
2x - 5y = 6
Substitute the first equation into the second equation, since y is already by itself.
2x - 5(-1 + 3/8x) = 6
2x + 5 - 15/8x = 6
2x - 15/8x = 1
16/8x - 15/8x = 1
1/8x = 1 Multiply 8 on both sides to get x by itself
x = 8
Plug x into either of the equations.
y = -1 + 3/8(8)
y = -1 + 3
y = 2
2(8) - 5y = 6
16 - 5y = 6
-5y = -10
y = 2
(8,2)
Answer:
y = 1/2x + 1
Step-by-step explanation:
Slope: 1/2
Point: (2,2)
y-intercept: 2 - (1/2)(2) = 2 - 1 = 1
