Answer:
The length of the diameter is 18 cm
Step-by-step explanation:
In this question, we are asked to calculate the diameter of a right cylinder, given that the radius and the height are equal and given the value of the surface area.
Mathematically, the surface area of a cylinder can be represented by the equation;
A = 2 π r( r + h)
since r = h, we can say h = r
Thus, the equation becomes;
A = 2 π r( r + r)
A = 2 π r(2r)
A = 4 π r^2
From the question, we can see that the value of A = 324 π
substituting this, we have;
324 π = 4 π r^2
4r^2 = 324
r^2 = 324/4
r^2 = 81
r = root of 81
r = 9 cm
The value of the diameter is two times the radius
Hence D = 2r = 2 * 9 = 18 cm
N/n+1
n-1/n-1=1
result is n/n+1
Answer:
B y = (-7/4)x - 7
Step-by-step explanation:
Slope intercept form is
y = mx + b
Where m is the slope and b is the y-intercept
m = rise/run
m = ∆y/∆x
m = (y₂ - y₁) / (x₂ - x₁)
m = (-7 - 0) / (0 - -4)
m = -7/4
From the graph the y-intercept
b = -7
-------------------------
y = (-7/4)x - 7
Answer:

Step-by-step explanation:
p(x) has degree 3
(x - 4) has degree 1
So p(x) can be rewritten as a polynomial of degree 2 multiplying (x-4)
So

To find a, b and c, we have to divide p(x) by x - 4.
So
Finding a:
Dividing the first term of p(x) by x - 4.

So a = 3.
Now multiplying 3x² by, x - 4, we have:

Subtracting p(x) from this:

Finding b:
Dividing the first term, after the subtraction, by x - 4.

So b = -8.
Multiplying -8x by x - 4, we have:

Then
Finding c:

So c = 5.
Just to verify if the remainder is 0.


Ok
Then:


Answer:
11. B.
12. 3
Step-by-step explanation:

since 
