Answer:




Step-by-step explanation:
The given trapezoid has vertices at A(−1,4), B(0,2), C(1,2) and D(2,4).
The transformation rule for 90° counterclockwise rotation is

This implies that:




This is followed by a translation 3 units to the right.
This also has the rule: 




Therefore:




Answer:
-40+44i
Step-by-step explanation:
4(-10+11i) = -40+44i
hope its clear
C is the correct answer because in a title, you always want to capitalize the bigger and more describing words.
Hope this helped!
Answer:

Step-by-step explanation:
Given
-- total
--- defective
--- selected
Required
The probability of rejecting the batch
This means that at least one of the selected piece is defected.
So, we first calculate the probability that all the selected piece are accepted.
So, we have:

The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs
So, we have:


Using the complement rule, the probability that the batch will be rejected is:


The length of CD is 7-3=4.
Therefore, if we dilate by a scale factor of 3, the length is 4(3) = 12