9514 1404 393
Answer:
(x, y) ⇒ (x -m, y -n)
Step-by-step explanation:
Reverse the arrow and solve for the x and y on the left:
(x +m, y +n) ⇒ (x, y)
This resolves to two relations:
x + m ⇒ x
x ⇒ x - m . . . . . subtract m
and
y + n ⇒ y
y ⇒ y - n . . . . . . subtract n
Putting these back together, we have ...
(x, y) ⇒ (x -m, y -n) . . . . . maps P'Q' to PQ
_____
The original translation was right m and up n. The reverse translation is left m and down n. That is what the rule shows.
Extend means to increase, add length to it, ADD.
2.826
+ 1.46
--------------
4.286
Answer:
Step-by-step explanation:
10.
- x + 57 = 116
- x = 116 - 57
- x = 59
11.
- y = 180 - 112 = 68
- x= 180 - 2*68 = 44
12.
- 4x + 10 = 180 - 2*40
- 4x + 10 = 100
- 4x = 90
- x = 90/4
- x = 22.5
13.
Answer:
IQR = 6
Step-by-step explanation:
Given:
The given set of data is:
40 41 42 43 44 45 46 47 48 49 50
Number of terms, 
Therefore, the median is given as
term which is the sixth term. Median = 45
(40 41 42 43 44) <u>45</u> (46 47 48 49 50 )
Now, we find the median of the lower half (
) and upper half (
)of the data that are before and after the median.
The lower half of the data has the values 40 41 <u>42</u> 43 44.
Number of terms are 5. So, median is the third term which is, 
The upper half of the data has the values 46 47 <u>48</u> 49 50.
Number of terms are 5. So, median is the third term which is, 
Now, IQR is given as the difference of upper half median and lower half median.
