Answer:
x=10
y=-2
(10,-2)
Step-by-step explanation:
If X=10, we can put 10 in for x in the equation.
30 + 5y = 20
Next, we need to solve to find y.
We will get y on its own so we subtract 30 from 20 to get
5y=-10
We then know that 5 goes into -10 -2 times.
y=-2
Answer:
260
Step-by-step explanation:
Find the critical points of
:


All three points lie within
, and
takes on values of

Now check for extrema on the boundary of
. Convert to polar coordinates:

Find the critical points of
:



where
is any integer. There are some redundant critical points, so we'll just consider
, which gives

which gives values of

So altogether,
has an absolute maximum of 65/16 at the points (0, -1/2) and (0, 1/2), and an absolute minimum of 3 at (-1, 0).
An=a1+d(n-1)
a1=first term
d=common difference
n=which term
common difference is 5 first term is 2
an=5+2(n-1)
19th term is n=19
a19=5+2(19-1)
a19=5+2(18)
a19=5+36
a19=41
19th term is 41