Answer:
The statements 1 and 4 are true.
Step-by-step explanation:
In order to quickly visualize the center and radius of the circle we can manipulate the given equation in such a way that it changes to the standard form.
Now that the equation is its standard form we can compare it to the standard form formula to determine the center and radius of the circle:
Where 
are the coordinates of the center of the circle and 
is the radius of the circle. Therefore the circle we were given has center in (1,0) and radius 
. With this in mind we can analyze each statement.
1. The radius of the circle is 3 units. This statement is correct.
2. The center of the circle lies on the y-axis. This statement is false, since the center of the circle has the coordinates (1,0) it means that it actually lies in the x-axis.
3. The standard form of the equation is (x - 1)² + y² = 3. This is false the correct standard equation is (x - 1)² + y² = 9.
4. The radius of the circle is the same as the radius of the circle who's equation is x² + y² = 9. This statement is correct, the radius is given by the square root of the constant on the right side of the equation, therefore the radius of both circle is 3.
We can solve the puzzle by simplifying the conditions in the table below:
Husband Wife Place Visited Means
Eugene Chloe Stake Out not Limousine
not David, then Flavian Belinda Rainbo IV then Limousine
then David Andrea then Water World fun park Taxi
Therefore, from the given conditions, David and Andrea spent their evening at Water World fun park and they got there by taxi.
Answer:
both are equal
Step-by-step explanation:
there are two side tails and heads so there a 1/2 chance it will land on heads
Answer:
Over 2 oz. Class A-II felony
Step-by-step explanation:
One would need to carefully weigh the material.*
0.06 kg ≈ 2.12 oz
Note that .06 kg is 1 significant figure, so this rounds to 2 oz (1 significant figure). Given the precision of the reported weight, there is insufficient precision to say the amount is actually over 2 oz.
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If you take the numbers at face value, the suspect is in possession of over 2 oz, so will be charged with a Class A-II felony.
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* 2.00 ounces translates to about 0.0567 kg, which rounds to 0.06 kg.
Answer:
I'm not sure for which answer you're asking for so I'll give you all of them. On the tenth day, Chris will give away 1024 cards.
Step-by-step explanation:
On the fourth day he will give away 16, on the fifth day 32, on the sixth day 64, on the seventh say 132, on the eighth day 264, on the ninth day 528, and on the tenth day 1024
