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 .
Half of perimeter (or length+ width) is:
222 mm /2= 111 mm.
111 mm- 60 mm= 51 mm
The width of the rectangle is 51 mm~
Answer:
B
Step-by-step explanation:
Given the 2 equations
4x + 3y = 16 → (1)
7x + 6y = 31 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the term in y
- 8x - 6y = - 32 → (3)
Add (2) and (3) term by term
- x = - 1 ( multiply both sides by - 1 )
x = 1
Substitute x = 1 in either of the 2 equations and solve for y
Substituting in (1)
4(1) + 3y = 16
4 + 3y = 16 ( subtract 4 from both sides )
3y = 12 ( divide both sides by 3 )
y = 4
Solution is (1, 4 ) → B
Answer: 
or (1,1)
Step-by-step explanation:
You can apply the Method of substitution.
Knowing that 
(second equation), you can substitute it into the first equation and solve for the variable y:
Now you need to substitute 
into the second equation to calculate the value of the variable x. Then:
Then, the solution is:
or (1,1)
Solution :
According to the question PC magazine conducted a survey and asked its readers to participate their satisfaction with the different brands of the electronic item. Around 9000 readers rated the product from scale 1 to 10.
SO we have to identify the following regarding the survey :
a. identifying the population
-- all the readers of the PC magazine
b. identifying the parameters of the interests
-- the population mean that rated the digital camera
c. identifying the sampling frame
--- all the readers
d. identifying the sample size
-- unknown
e. identifying the sampling design
-- voluntary response
