3 years ago

Image point N'(12, -6) was dilated from the pre-image point N(4, -2). What was the scale factor used?

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

7 0

The scale factor's 3 since 12 and 4 can be divided by 3 and -6 and -2 can also be divided by 3.

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3 years ago

Calculate the coefficient of x4y18 in the expansion of (x − y)22

Oksana_A [137]

Binomial theorem:

$(x-y)^n=\displaystyle\sum_{k=0}^n\binom nkx^k(-y)^{n-k}$

The term with $x^4y^{18}$ corresponds to $n=18+4=22$ and $k=4$ (or $k=18$ , since $\dbinom nk=\dbinom n{n-k}$ ).

So, the coefficient of this term is

$\dbinom{22}4(-1)^{18}=\dbinom{22}4=\dfrac{22!}{4!(22-4)!}=7315$