Answer:
43°
Step-by-step explanation:
For a quadrilateral inscribed in a circle,
Opposite angles add up to 180
3y + 8 + y = 180
4y = 172
y = 43
Answer:
Its E c;
Step-by-step explanation:
The standard form of hyperbola is:
(x-h)²/a²-(y-k)²/b²=1
center:(4,5)
Length of the horizontal transverse axis: 8-5=3=2a
thus
a=3/2
a²=9/4
b=2
b²=4
Hence the equation will be:
(x-4)²/(9/4)-(y-5)²/4=1
simplifying this we get:
[4(x-4)²]/9-(y-5)²/4=1
We're looking for a solution of the form
. By the chain rule, this solution should have total differential

and the equation is exact if the mixed second-order partial derivatives of
are equal, i.e.
.
The given ODE is exact, since


Then




With
, we get


Answer:
There are 111 blue bags
Step-by-step explanation:
Let
x ----> the number of black bags
y ---> the number of blue bags
we know that

isolate the variable y
-----> equation A
----> equation B
substitute equation B in equation A
therefore
There are 111 blue bags