Answer:
Step-by-step explanation:
The shaded area is the difference of the large and small squares.
<u>Area of large square:</u>
<u>Area of small square:</u>
<u>Shaded area:</u>
- A = A(l) - A(s)
- A = (y + 4)² - y² = y² + 8y + 16 - y² = 8y + 16
Answer:
A and B
Step-by-step explanation:
For A, y=2 is the axis of vertical symmetry, meaning a reflection would map the shape onto itself.
For B, x=3 is the axis of horizontal symmetry, meaning a reflection would map the shape onto itself.
For C, a rotation of 90 degrees would make the shape taller vertically and shorter horizontally, therefore it would be wrong.
For D, a translation two units down would move all points down, even though some would need to go up, therefore it would be wrong.
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:
21 miles per 1 gallon
Step-by-step explanation:
The unit rate is how many to 1 so, 42 divided by 2 equals 21 so, the answer is given.
PLZ MARK BRAINLIEST!!!
Answer:
y = dependent variable
k = constant of proportionality or constant rate of change
x = independent variable
Step-by-step explanation:
The equation, 
represents a direct variation showing a proportional relationship between variable y and variable x.
y represents the dependent variable
k represents the constant of proportionality or constant rate of change
x represents the independent variable
