Answer:
in terms or pi
simplified
Step-by-step explanation:
To solve this, we are using the Cylinder's volume formula:

where
is the volume of the cylinder
is the radius of the cylinder
Remember that radius is half the diameter, so we can divide the diameter of our cylinder by 2 to find its radius:
. Now, 9 1/2 inches is 9 and a half inches, so
.
Replacing values:




We can conclude that the volume of our cylinder is
in terms of pi, or
simplified.
Answer:
2, 3, 5
Step-by-step explanation:
The question asking for the linear equation Suzie manipulated. The answer should be equal to the starting equation. So, we just need to manipulate the option to y= mx + c format.
1. y + 7x = 23
y= -7x +23 (false)
2. . –7x + y = 23
y= 7x + 23 (true)
3. 2y – 14x = 46
2y= 14x+ 46
y= 7x +23 (true)
4. y – 7x = –23
y= 7x - 23 (false)
5. 7x – y = –23
-y= -7x -23
y= 7x + 23 (true)
Answer:
The slope of this line is -2
Step-by-step explanation:
2x - 5y =9
-5y = -2x + 9 (Subtract 2x from each side)
y= -2x + 14 (add 5 to each side)
-2 is the slope
Answer:
(a) 
(b) 
(c) 
Step-by-step explanation:
The formula for calculating the equation of line in point - slope form is given as :
where m is the slope
Given from the question :
m = - 4
= 2
= 6
Substituting into the formula , we have :




Therefore :
(a) the equation of the line in point - slope form is 
(b) to write it in slope - intercept form , we will make y the subject of the formula , which will give : 
(c) the equation of line in standard form is ; 