Answer: 4x = -8
Reasoning:
Multiply both sides by 4
The rational numbers are the positive counting numbers: 1, 2, 3, 4, . . .
The whole number are the natural numbers plus 0: 0, 1, 2, 3, . . .
The irrational numbers are the numbers which cannot be expressed in the form a/b where a and b are integers. They are usually in the form of a non recurring and non terminating decimals.
The integers complices of both the negative and the positive whole numbers.
In winter, the temperature of Alaska usually drop to negative numbers.
Therefore, the <span>set of numbers is the most reasonable to describe the temperature in alaska during the winter is the set of integers.</span>
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
Answer:
142°
Step-by-step explanation:
<span>We have to find the product : ( 9 t - 4 ) ( - 9 t - 4 ) = - ( 9 t - 4 ) ( 9 t + 4 ) After that we can use the difference of squares. The formula is: ( a + b ) ( a - b ) = a^2 - b^2. In this case: - ( 9 t - 4 ) ( 9 t + 4 ) = - ( 81 t^2 - 16 ) = - 81 t^2 + 16 . Answer: B ) - 81 t^2 + 16.</span>