Answer:
The first, second, and fifth statements are correct.
Step-by-step explanation:
We are given a circle with the equation:
![x^2+y^2-2x-8=0](https://tex.z-dn.net/?f=x%5E2%2By%5E2-2x-8%3D0)
And we want to select the statements that are true.
First, we can convert the equation into standard form. We can group each variable:
![(x^2-2x)+(y^2)=8](https://tex.z-dn.net/?f=%28x%5E2-2x%29%2B%28y%5E2%29%3D8)
And complete the square for the first term:
![(x^2-2x+1)+(y^2)=8+1](https://tex.z-dn.net/?f=%28x%5E2-2x%2B1%29%2B%28y%5E2%29%3D8%2B1)
Factor and simplify:
![(x-1)^2+y^2=9](https://tex.z-dn.net/?f=%28x-1%29%5E2%2By%5E2%3D9)
We can rewrite our equation as:
![(x-(1))^2+(y-(0))^2=(3)^2](https://tex.z-dn.net/?f=%28x-%281%29%29%5E2%2B%28y-%280%29%29%5E2%3D%283%29%5E2)
So, this tells us that we have a circle centered on (1, 0) with a radius of 3 units.
In this case, the first statement, second statement (the point (1,0) is on the x-axis), and fifth statements are correct (the square root of 9 is also 3).
Answer: 35/16
Step-by-step explanation:
Answer:
P(even) is 1/2.
Step-by-step explanation:
To get the probability of even numbers, you divide the amount of even numbers by the total amount of numbers. You should get 2 (amount of even numbers) /4 (total amount of numbers.) This simplifies to 1/2. I hope this helps and that you have a marvelous day!! Stay safe!!
2005:
Asset = 200,000 + 25,000 = 225,000
Liability = 30,000 + 8,000 = 38,000
2009
Asset = 180,000 + 18,000 + 20,000 = 218,000
Liability = 18,000 + 5,000 = 23,000
Assets decreased by 7,000. From 225,000 to 218,000
Liabilities decreased by 13,000. From 38,000 to 23,000
<span>a. From 2005 to 2009, both assets and liabilities decreased. </span>
Answer:
1. $137.75
3. $149.15
Step-by-step explanation:
1.
12.25+125.50=137.75
3. 8.25% of 137.75= 11.4
137.75+11.4=149.15