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Molodets [167]
2 years ago
6

Expand the given power using the Binomial Theorem. (z – 11)4

Mathematics
2 answers:
nekit [7.7K]2 years ago
4 0

Answer:

(z-11)^{4}=z^{4}-44z^{3}+726z^{2}-5324z+14641

Step-by-step explanation:

* Look to the attached file

Download docx
Neporo4naja [7]2 years ago
4 0

Answer:

Step-by-step explanation:

(z-11)^4 is to be found out

Recall binomial theorem as

(x+a)^n=x^n+nC1 x^{n-1}a+nC2 x^{n-1} a^2+...+a^n

Substitute x =z, a =-11 and n =4

We get

(z-11)^4 = z^4-4z^3(11)+4C2 z^2 (11^2)-4C3 (z)(11^3)+11^4\\(z-11)^4 = z^4-44z^3 +726z^2-5324z+14641

This would be the simplified expansion for the given power.

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Which expression gives the length of the transverse axis of the hyperbola
klio [65]

Answer:

Option (B)

Step-by-step explanation:

From the picture attached,

F1 and F2 are the focii of the hyperbola.

Point P(x, y) is x units distant from F1 and y units distant from the other focus F2.

By the definition of a hyperbola,

"Difference between the distances of a point from the focii is always constant and equals to the measure of transverse axis."

Difference in the distances of point P from focii F1 and F2 = (x - y) units

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7 0
1 year ago
Forest park campgrounds charges $100 membership fee plus $35 per night. Woodland campgrounds Charges a $20 membership fee plus $
noname [10]

Answer:

If camping for 4 nights, you should either of them since they cost the same. However, if camping for more than 4 nights, you should choose Forest park since it would be cheaper than Woodland.

Step-by-step explanation:

<em>Step 1:  compare total price for 4 nights in each campground;</em>

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Woodland= 20+(4*55)= $240

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4 0
1 year ago
To start the school year, a teacher spends $54.35 in school supplies for her classroom. During the course of the year, she will
Sholpan [36]

co·ef·fi·cient

ˌkōəˈfiSHənt/Submit

noun

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MATHEMATICS

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g., 4 in 4x y).

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1 year ago
A square with an area A2 of is enlarged to a square with an area of 25A2. How was the side of the smaller square changed?
makvit [3.9K]
Given:
a square with an area of a² is enlarged to a square with an area of 25a².

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Answer: 21

Step-by-step explanation: like basically

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