Answer:

Step-by-step explanation:
we know that
The rule of the translation is equal to

That means
The translations is
units to the right and
unit up
Let
-------> the coordinates of point B
------> the coordinates of point B'
Find the distance
the formula to calculate the distance between two points is equal to

substitute



Answer: y=-3/2x+3
Step-by-step explanation:
First subtract 3x from both sides to start isolating the y.
Then you get 2y=-3x+6
Divide both sides by 2 to get y alone and you get
y=-3/2x+3
Answer:
A. 23+x=140
Step-by-step explanation:
The angle addition postulate states that the measure of a larger angle formed by two or more smaller angles placed side by side is the the sum of the smaller angles. The angle addition postulate states that if B is in the interior of AOC , then:
m∠AOB + m∠BOC = m∠AOC.
From the image:
∠NOP = ∠NOQ + ∠QOP
∠NOP = 140, ∠NOQ = x, ∠QOP = 23
substituting:
140 = x + 23
x = 140 - 23 = 117
∠NOQ = 117°
Answer:
Given that:
and 
if a , a+ commutator, it obeys 
First find:

= 
Now;

=
therefore,
which implies the operators a and a+ are commutators.
Answer:
i)The correct option is D.) 99.74%
ii) The correct option is B.) 68.26%
Step-by-step explanation:
i) P(10≤X≤70) = P( (10−40)/10 ≤Z≤ (70−40
)/10 ) = Pr(−3≤Z≤3)
= 0.9987 - 0.0013 = 0.99734
Therefore the percentage of Jen's monthly phone bills are between $40 and $100 is D.) 99.74%
ii)P(2.1≤X≤3.1) = P( (2.1 − 2.6) /0.5 ≤ Z ≤ (3.1−2.6
)/0.5) = Pr(−1 ≤Z ≤1)
)
= 0.8413 − 0.1587 = 0.6826
Therefore the percentage of students at college have a GPA between 2.1 a,d 3.1 is B.) 68.26%