Exterior angles are complementary to the opposite interior angle
Answer:
-3/12
Step-by-step explanation:
Answer:
7°F
Step-by-step explanation:
We have the following information from the question;
Morning temperature = -10°F
Increase in temperate = 17°F
Afternoon temperature = the unknown
Since;
Increase in temperature = Afternoon temperature - morning temperature
Then;
Afternoon temperature = increase in temperature + morning temperature
Afternoon temperature = 17°F + (-10°F)
Afternoon temperature= 7°F
Answer:
.
Step-by-step explanation:
Answer:
The fourth term of the expansion is -220 * x^9 * y^3
Step-by-step explanation:
Question:
Find the fourth term in (x-y)^12
Solution:
Notation: "n choose k", or combination of k objects from n objects,
C(n,k) = n! / ( k! (n-k)! )
For example, C(12,4) = 12! / (4! 8!) = 495
Using the binomial expansion formula
(a+b)^n
= C(n,0)a^n + C(n,1)a^(n-1)b + C(n,2)a^(n-2)b^2 + C(n,3)a^(n-3)b^3 + C(n,4)a^(n-4)b^4 +....+C(n,n)b^n
For (x-y)^12, n=12, k=3, a=x, b=-y, and the fourth term is
C(n,3)a^(n-3)b^3
=C(12,3) * x^(12-3) * (-y)^(3)
= 220*x^9*(-y)^3
= -220 * x^9 * y^3
