Step-by-step explanation:
_
0.416666666666666666666
Answer:
x=-8 OR X=2
Step-by-step explanation:
X²+6X-6=10
X²+6X-16=0
X²+8X-2X-16
X(X+8)-2(X+8)
X+8=0 X-2=0
X=-8 OR X=2
Green's theorem says the circulation of 
along the rectangle's border 
is equal to the integral of the curl of over the rectangle's interior 
.
Given 
, its curl is the determinant
So we have
Answer:
Tn = 64-4n
Step-by-step explanation:
The nth term of an AP is expressed as:
Tn = a+(n-1)d
a is the common difference
n is the number of terms
d is the common difference
Given the 6th term a6 = 40
T6 = a+(6-1)d
T6 = a+5d
40 = a+5d ... (1)
Given the 20th term a20 = -16
T20 = a+(20-1)d
T20 = a+19d
-16 = a+19d... (2)
Solving both equation simultaneously
40 = a+5d
-16 = a+19d
Subtracting both equation
40-(-16) = 5d-19d
56 = -14d
d = 56/-14
d = -4
Substituting d = -4 into equation
a+5d = 40
a+5(-4) = 40
a-20 = 40
a = 20+40
a = 60
Given a = 60, d = -4, to get the nth term of the sequence:
Tn = a+(n-1)d
Tn = 60+(n-1)(-4)
Tn = 60+(-4n+4)
Tn = 60-4n+4
Tn = 64-4n
