Answer:
The four pieces cut off can be arranged into two squares with sides of length b feet and hence the area of the octagon is w 2 - 2 b 2 square feet. Since w = 12 feet, all that is needed is to find b. square feet which is approximately 119 square feet.
Step-by-step explanation:
Answer:
9th Triangle
Step-by-step explanation:
Given the area of four triangles:
If the Scale factor is 1.5.
This is a geometric sequence and the common ratio is 1.5 X 1.5.
Therefore, the area of any n triangle can be determined using the function:
We want to determine which triangle has an area greater than 
.
When A(n)=15000
Therefore, the 9th triangle has an area greater than .
Answer:
The value of f(z) is not constant in any neighbourhood of D. The proof is as explained in the explaination.
Step-by-step explanation:
Given
For any given function f(z), it is analytic and not constant throughout a domain D
To Prove
The function f(z) is non-constant constant in the neighbourhood lying in D.
Proof
1-Assume that the value of f(z) is analytic and has a constant throughout some neighbourhood in D which is ω₀
2-Now consider another function F₁(z) where
F₁(z)=f(z)-ω₀
3-As f(z) is analytic throughout D and F₁(z) is a difference of an analytic function and a constant so it is also an analytic function.
4-Assume that the value of F₁(z) is 0 throughout the domain D thus F₁(z)≡0 in domain D.
5-Replacing value of F₁(z) in the above gives:
F₁(z)≡0 in domain D
f(z)-ω₀≡0 in domain D
f(z)≡0+ω₀ in domain D
f(z)≡ω₀ in domain D
So this indicates that the value of f(z) for all values in domain D is a constant ω₀.
This contradicts with the initial given statement, where the value of f(z) is not constant thus the assumption is wrong and the value of f(z) is not constant in any neighbourhood of D.
Answer: y = 2/5 x + 2
Step-by-step explanation:
why not do this one too yk
slope = y2 - y1 / x2 - x1
4 - 2 / 5 - 0
slope = 2/5
ill use (5,4) for the y=mx+b initial equation
y = mx+b
4 = (2/5)(5) +b
4 = 2 + b
2 = b
now for the final equation whoop whoop
y = 2/5 x + 2
7c^2d^2-14cd
Hope this helps a bunch!!!!!!!!!!!!
