Answer:

Step-by-step explanation:
The formula for the surface area of a cylinder is:

And we want to solve for the height h.
First, subtract
from both sides. This yields:

Now, divide both sides by
. This yields:

And we're done!
1) Coordinates of A: (-1,5) Coordinates of C: (6,-9)
2) Coordinates of A: (-1,-14) Coordinates of M: (6,7)
Answer:

Step-by-step explanation:
f(x) = 9x³ + 2x² - 5x + 4; g(x)=5x³ -7x + 4
Step 1. Calculate the difference between the functions
(a) Write the two functions, one above the other, in decreasing order of exponents.
ƒ(x) = 9x³ + 2x² - 5x + 4
g(x) = 5x³ - 7x + 4
(b) Create a subtraction problem using the two functions
ƒ(x) = 9x³ + 2x² - 5x + 4
-g(x) = <u>-(5x³ - 7x + 4)
</u>
ƒ(x) -g(x)=
(c). Subtract terms with the same exponent of x
ƒ(x) = 9x³ + 2x² - 5x + 4
-g(x) = <u>-(5x³ - 7x + 4)
</u>
ƒ(x) -g(x) = 4x³ + 2x² + 2x
Step 2. Factor the expression
y = 4x³ + 2x² + 2x
Factor 2x from each term
y = 2x(2x² + x + 1)

Answer:
15
Step-by-step explanation:
a right angle is 90 degrees, so if you divide that by 6 you get one sixth of the angle