Parameterize the part of the surface we care about, denoted 
, by
with 
and 
.
Then
The area is given by the surface integral
Answer:
3
Step-by-step explanation:
9 x (N + 2) = 45
9N + 18 = 45
9N = 27
N = 3
Answer as a fraction = 1/720
Answer in decimal form (approximate) = 0.001388
Answer in percent form (approximate) = 0.1388%
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Explanation:
Let A = 1 to indicate the number of ways to get the names to line up in alphabetical order.
There are B = 6*5*4*3*2*1 = 720 different ways to arrange the six people. Notice how I started at 6 and counted my way down to 1, multiplying all along the way. This can be shortened to factorial notation to say 6! = 720. Or you could use the nPr permutation formula to get the same result (use n = 6 and r = 6).
Once you have the values of A and B, we form the fraction A/B = 1/720 which is the probability of getting the names in alphabetical order.
If you need the answer in decimal form, then use your calculator to find
1/720 = 0.001388
which converts over to 0.1388%
Area of a rectangle is lxb
(4x-3) * (2x+6) = 500
{(4x * 2x) + (4x * 6)} + {( -3 * 2x) + (-3 * 6)} - multiplying the factors
{8x^2 + 24x} + {-6x + -18}
8x^2 + 24x -6x -18 - removing the brackets
8x^2 +15x -18
Hope you found the answer helpful
Answer:
( -8, -4)
Step-by-step explanation:
Think of the graph as 4 different sections,
top left is 1
top right is 2
bottom right is 3
bottom left is 4
The red dot is (4, -8) and the blue dot is ( -8, -4 )
If you move from the right side of the grid to the left you would switch (x ,y ) to (y , x).
depending on what part of the graph it is in, it will be negative or positive.
hope this helps!
