Old coordinate
As center of dilation is origin the scale factor only multiplied with B
So
new coordinate
B'
- 1/2(2,-6)
- (2/2,-6/2)
- (1,-3)
You have to combine like numbers
y-4x-1(1-6x)+3y+x
4y -4x-(1-6x)+x
4y - 4x - 1 + 6x + x
4y + 3x - 1
Answer:
Step-by-step explanation:
Answer:
It is a proportional relation.
Step-by-step explanation:
We have given that at Time (hours) = 2, Distance (miles) = 90 and at Time (hours) = 3, Distance (miles) = 135
Therefore, the speed we get from the first two row data = 
miles/hr.
So, the speed is maintained through out the journey as
At t = 0, Distance = 0
At t = 2 hours, Distance = 2 × 45 = 90 miles
At t = 3 hours, Distance = 3 × 45 = 135 miles
At t = 5 hours, Distance = 5 × 45 = 225 miles
At t = 6 hours, Distance = 6 × 45 = 270 miles
Therefore, the values matches with the table.
Hence, it is a proportional relation. (Answer)
Answer:
the probability that a student takes theater given that the student is taking choir is 0.3
Step-by-step explanation:
The probability that a student takes theater and choir = 0.078
The probability that a student takes choir = 0.26
the probability that a student takes theater given that the student is taking choir ?
We can solve this using conditional probability.
P(B|A) = P(A and B)/P(A)
In our case the conditional probability will be:
P(Theater | Choir) = P(Choir and Theater)/ P(Choir)
Putting the given values
P(Theater | Choir) = (0.078) / 0.26
P(Theater | Choir) = 0.3
So, the probability that a student takes theater given that the student is taking choir is 0.3
