Answer:
1: Reflect M across the x-axis
2: Dilate about the center by 3/2
Step-by-step explanation:
Given
See attachment for M and N
Required
Which maps M to N
The coordinates of the radius of the circles are:


And the radius of circles are:


The first transformation from M to M' is:
- Reflect across the x-axis
The rule is:


<em>At this point, M' and N now have the same center but different radius.</em>
The second transformation from M' to N is:
- Dilate about the center by dividing the radius of N by the radius of M
i.e.


<em>At this point, M has been completely mapped to N.</em>
The answer is c
12.4 feet by 9.5 feet
Answer:
a
Step-by-step explanation:
![\sqrt[4]{144a^{12}b^{3}} = \sqrt[4]{4^{2}*3^{2}a^{12}b^{3}}=\\= \sqrt[4]{2^{4}*3^{2}a^{12}b^{3}}=2a^{3}\sqrt[4]{3^{2}b^{3}} =\\}=2a^{3}\sqrt[4]{9b^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B144a%5E%7B12%7Db%5E%7B3%7D%7D%20%3D%20%5Csqrt%5B4%5D%7B4%5E%7B2%7D%2A3%5E%7B2%7Da%5E%7B12%7Db%5E%7B3%7D%7D%3D%5C%5C%3D%20%5Csqrt%5B4%5D%7B2%5E%7B4%7D%2A3%5E%7B2%7Da%5E%7B12%7Db%5E%7B3%7D%7D%3D2a%5E%7B3%7D%5Csqrt%5B4%5D%7B3%5E%7B2%7Db%5E%7B3%7D%7D%20%3D%5C%5C%7D%3D2a%5E%7B3%7D%5Csqrt%5B4%5D%7B9b%5E%7B3%7D%7D)
Answer:
2 hours = 4 * 30 minutes
30 * 3 = 90
90 * 3 = 270
270 * 3 = 810
810 * 3 = 2430
So after 2 hours you will have 2430 bacteria cells.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
We have the expression

First we need to distribute the negative throughout the parenthesis. Then we can combine like terms in order to simplify this expression

This answer matches D.