Answer:
K = 11
Step-by-step explanation:
3(k - 6) = 15
3k - 18 = 15
3k = 15 + 18
3k = 33
K = 33/3
K = 11
Thus, the value of K is 11
Answer:
Option D.
Step-by-step explanation:
The given expression is

It is a polynomial.
(x-c) is a linear factor of polynomial p(x) if p(c)=0.
Substitute x=-1 in the given expression.

It means (x+1) is not a linear factor of given expression.
Substitute x=-2 in the given expression.

It means (x+2) is not a linear factor of given expression.
Substitute x=-4 in the given expression.

It means (x+4) is not a linear factor of given expression.
None of the given options are a linear factor of given expression.
Therefore, the correct option is D.
Answer:
24
Step-by-step explanation:
False, because it would no longer be 18 alone because of the disturbutive property.
Since rectangle ABCD is similar to HGFE, the ratios of the lengths of their corresponding sides are equal. We can infer form our picture that AD is corresponding to EH and DC is corresponding to HG, so lets find the ratios of those corresponding sides and establish a proportion to find the length of HG:

We know that

,

, and

, so lets replace those values in our proportion:




We can conclude that the length of the segment
HG is 9.