Answer:
The first, second, and fifth statements are correct.
Step-by-step explanation:
We are given a circle with the equation:
And we want to select the statements that are true.
First, we can convert the equation into standard form. We can group each variable:
And complete the square for the first term:
Factor and simplify:
We can rewrite our equation as:
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:
41 1/4
Step-by-step explanation:
Change 16 1/2 to a mixed number
16 1/2 = (2*16+1)/2 = 33/2
Change 2 1/2 to a mixed number = (2*2+1)/2 = 5/2
Multiply the turns per inch by the inches
33/2 * 5/2 =165/4
Change this back to a mixed number
4 goes into 165 41 times
41*4 = 164 there is 1 left over
41 1/4
Answer:
210 seconds
Step-by-step explanation:
LCM of 5,6 and 7
We have been given that Jenna saves $3 for every $13 dollars she earns. Vanessa saves $6 for every $16 she earns.
We can compare the ratios of saved money to earned money by Jenna and Vanessa as:
Let us simplify our equation.
We can see that 
, therefore, Jenna's ratio of money saved to money earned is not equivalent to Vanessa's ratio of money saved to money earned.
Answer:
( 6(x)² + 12(x) - 90 ) ft³
Explanation:
- <u>deep end water</u>: 2(x)² + 12(x) + 10
- <u>shallow end water</u>: 4(x)² - 100
addition problem: 2(x)² + 12(x) + 10 + 4(x)² - 100
total volume of water:
- 2(x)² + 12(x) + 10 + 4(x)² - 100
- 2(x)² + 4(x)² + 12(x) + 10 - 100
