Answer:
The coordinates are
and
.
Step-by-step explanation:
First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:
(1)
Where
is the vector translation.
If we know that
and
, then the vector translation is:



Then, we determine the coordinates for Y' and Z':






The coordinates are
and
.
Answer:
The less the correlation between two variables means the more different their output is.
A.) If Rachel wants to diversify her investment by investing on bonds that do not closely follow the returns on the bond. then she should invest in the stocks with low correlation with bonds. I.e: small cap stocks.
B.) Similarly, due to low correlation, small cap bonds will increase ( comparatively to large cap bonds) as the return on her bonds wil drop and vice versa.
Answer: -1/2
Step-by-step explanation:
Rise= 1
Run= 2
Answer: The greatest number of pages Kenji can decorate = 3
Step-by-step explanation:
Given: Total heart stickers = 15
Total star stickers =12
If all the papers identical, with the same combination of heart and star stickers and no stickers left over.
Then the greatest number of pages Kenji can decorate = GCD(15,12) [GCD=greatest common divisor]
Since 15 = 3 x 5
12=2 x 2 x 3
GCD(15,12) =3
Hence, the greatest number of pages Kenji can decorate = 3
1. N added to six
N increased by six
2. w multiplied by four
w times four
3. Fifteen minus b
Fifteen decreased by b
4. Fourteen decreased by three times z
Fourteen minus three multiplied by z