1.So the problem "y=2x+5" is in standard form and no modification is necessary. For a parabolic equation, the standard form is y = a(x - h)^2 + k, from which direction (polarity of "a") and axis of symmetry (value of "h"), etc.
2.Ax + By + C = 0 or Ax + By = C.
Answer:
plug in -6
-(-6) - 3
the 6 turns into a positive
subtract 3 from 6
= 3
Answer:
x = 20
m = 92
n = 68
p = 92
Step-by-step explanation:
x = 20
2 + 3x = 62
-2 -2
----------------
3x = 60
----- -----
3 2
x = 20
m = 92
20 + 68 = 88
180 - 88 = 92
n = 68
The vertical angle is 68 degrees
p = 92
Vertical angle is m, which is 92.
Hope this helped.
Answer:
16000
Step-by-step explanation: You would count 4 places after the one to the right and how how many places that is you’d add 0s to it
I'm partial to solving with generating functions. Let
Multiply both sides of the recurrence by 
and sum over all 
.
Shift the indices and factor out powers of 
as needed so that each series starts at the same index and power of .
Now we can write each series in terms of the generating function 
. Pull out the first few terms so that each series starts at the same index 
.
Solve for :
Splitting into partial fractions gives
which we can write as geometric series,
which tells us
# # #
Just to illustrate another method you could consider, you can write the second recurrence in matrix form as
By substitution, you can show that
or
Then solving the recurrence is a matter of diagonalizing the coefficient matrix, raising to the power of 
, then multiplying by the column vector containing the initial values. The solution itself would be the entry in the first row of the resulting matrix.
