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).
It’s either 30° or 45° bc of the quality I can’t really see, the trick is look at the corner and see if it’s a right angle, and every right angle is 90° if the line is straight across, it’s 45° if it’s uneven, it’s 30°
Answer:
FV= $669.11
Step-by-step explanation:
Giving the following information:
Purchase price (PV)= $800
Decrease value (d)= 1.5% per year
Number of periods (n)= 12 years
<u>To calculate the value of the card after 12 years, we need to use the following formula:</u>
FV= PV / (1 + d)^n
FV= 800 / (1.015^12)
FV= $669.11
It takes him 17 minutes to make each shoe.
<em>How to Solve: </em>
- take away the 30 min lunch break from the time becomes 11:45 to 4:00
- calculate the distance from 11:45 to 4:00 which is 4 hours and 15 minutes to complete each shoe.
- Convert the hours into 60 minutes each so 60*4= 240 now add the extra minutes 240+15= 255 minutes
- Now divide that bye 15 shoes 255/15= 17 minutes
- So it takes 17 minutes to make each shoe. :)
2(x + y) + 3(x + y)
first distribute:
(multiply 2 into everything in the first parenthesis, and 3 into everything in the second)
2x + 2y + 3x + 3y
Second simplify (add all like terms (adding in this case) )
(2x + 3x) + (2y +3y)
5x + 5y
your answer is: 5x + 5y
hope this helps
