Answer:
y = -
x + 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 2x + 3y = 6 into this form
subtract 2x from both sides
3y = - 2x + 6 ( divide all terms by 3 )
y = -
x + 2 ← in slope-intercept form
Answer:
A. 20000
Step-by-step explanation:
45-36 = 9 so you add 1,000 * 9 to 11,000, which gets you 20,000
Answer: 37.778 degrees
Step-by-step explanation:
The third digit to the right of the decimal is thousandths. If the next digit to the right of that is 5 or more, add one to the thousandths. Otherwise leave it as is. Just drop everything to the right of the place you rounded to.
7 is greater than 5, so add 1 to the 7 in the thousandths place and get
37.778
Answer:
Exact form: ![\sin{(6x)} = \frac{8}{9}](https://tex.z-dn.net/?f=%5Csin%7B%286x%29%7D%20%3D%20%5Cfrac%7B8%7D%7B9%7D)
Decimal form: ![\sin{(6x)} = 0.8889](https://tex.z-dn.net/?f=%5Csin%7B%286x%29%7D%20%3D%200.8889)
The solution for x is: The solution for x is of 10.455º
Step-by-step explanation:
We are given the following equation:
![8 = 9\sin{(6x)}](https://tex.z-dn.net/?f=8%20%3D%209%5Csin%7B%286x%29%7D)
Placing into the desired format, the exact format is:
![\sin{(6x)} = \frac{8}{9}](https://tex.z-dn.net/?f=%5Csin%7B%286x%29%7D%20%3D%20%5Cfrac%7B8%7D%7B9%7D)
In the decimal part, we divide 8 by 9. So
![\sin{(6x)} = 0.8889](https://tex.z-dn.net/?f=%5Csin%7B%286x%29%7D%20%3D%200.8889)
Solving for x:
We apply the inverse sine. So
![\sin^{-1}{\sin{(6x)}} = \sin^{-1}{0.8889}](https://tex.z-dn.net/?f=%5Csin%5E%7B-1%7D%7B%5Csin%7B%286x%29%7D%7D%20%3D%20%5Csin%5E%7B-1%7D%7B0.8889%7D)
![6x = 62.73](https://tex.z-dn.net/?f=6x%20%3D%2062.73)
![x = \frac{62.73}{6}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B62.73%7D%7B6%7D)
![x = 10.455](https://tex.z-dn.net/?f=x%20%3D%2010.455)
The solution for x is of 10.455º
9514 1404 393
Answer:
$6,106.87
Step-by-step explanation:
The total of percentage deductions is ...
state tax + city tax + social security + medicare
= 3.5% +2.5% +6.2% +1.45% = 13.65%
Then Ryleigh's take-home pay is ...
gross(1 -13.65%) -112 = 5161.28
gross = (5161.28 +112)/0.8635 = 6106.87
Ryleigh's monthly gross is $6,106.87.