Answer:
-1/100
Step-by-step explanation:
Answer:
ln(3)
Step-by-step explanation:
3 ln(3) = ln(3^3) = ln(27)
ln(27) - ln(9) = ln(27/9) = ln(3)
Answer:
D, E
Step-by-step explanation:
Each vector represents the horizontal and vertical translation amounts:
![\left[\begin{array}{c}\text{translation right}\\\text{translation up}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D%5Ctext%7Btranslation%20right%7D%5C%5C%5Ctext%7Btranslation%20up%7D%5Cend%7Barray%7D%5Cright%5D)
Translation left or down will result in negative values for the corresponding translation amounts.
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We can consider only the lower-left corner to determine the amount of translation.
<h3>A ⇒ B</h3>
horizontal: 1 to -4, so -4-1 = -5 units
vertical: 2 to 0, so 0 -2 = -2 units
The translation vector is ...
![\left[\begin{array}{c}\text{-5}\\\text{-2}\end{array}\right]\qquad\text{matches choice D}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D%5Ctext%7B-5%7D%5C%5C%5Ctext%7B-2%7D%5Cend%7Barray%7D%5Cright%5D%5Cqquad%5Ctext%7Bmatches%20choice%20D%7D)
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<h3>B ⇒ C</h3>
horizontal: -4 to -1, so -1 -(-4) = -1 +4 = 3 units
vertical: 0 to -4, so -4 -0 = -4 units
The translation vector is ...
![\left[\begin{array}{c}\text{3}\\\text{-4}\end{array}\right]\qquad\text{matches choice E}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D%5Ctext%7B3%7D%5C%5C%5Ctext%7B-4%7D%5Cend%7Barray%7D%5Cright%5D%5Cqquad%5Ctext%7Bmatches%20choice%20E%7D)