Answer:
We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect
Answer:
Addition Property of Equality
Step-by-step explanation:
So we had:
![3x-2=7](https://tex.z-dn.net/?f=3x-2%3D7)
And then we got:
![3x=9](https://tex.z-dn.net/?f=3x%3D9)
We did this by adding 2 to both sides of the equation. When we added 2, the left side cancelled and the right side equated to 9:
![(3x-2)+2=(7)+2\\3x=9](https://tex.z-dn.net/?f=%283x-2%29%2B2%3D%287%29%2B2%5C%5C3x%3D9)
Since we added 2 to both sides, this is an example of the addition property of equality.
Answer:
The equation is ![A(d) = 80 - 4d](https://tex.z-dn.net/?f=A%28d%29%20%3D%2080%20-%204d)
Step-by-step explanation:
Linear function:
A linear function for the amount of money in an account after t days is given by:
![A(d) = A(0) - md](https://tex.z-dn.net/?f=A%28d%29%20%3D%20A%280%29%20-%20md)
In which A(0) is the initial value and m is the daily cost.
Your EZ Pass account begins with $80. It costs you $4/day.
This means that ![A(0) = 80, m = 4](https://tex.z-dn.net/?f=A%280%29%20%3D%2080%2C%20m%20%3D%204)
So
![A(d) = A(0) - md](https://tex.z-dn.net/?f=A%28d%29%20%3D%20A%280%29%20-%20md)
![A(d) = 80 - 4d](https://tex.z-dn.net/?f=A%28d%29%20%3D%2080%20-%204d)
If they won 55 of the games, that means they lost the rest of the 75. So,
75 - 55 = 20 games lost. To find the percentage of 20 out of 75, you set up a proportion:
![\frac{20}{75}=\frac{x}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B75%7D%3D%5Cfrac%7Bx%7D%7B100%7D)
where x = the percentage of games lost. Cross multiply and divide to isolate the x:
![\frac{20}{75}=\frac{x}{100}\\75x=2000\\75x/75=2000/75\\x=26.6666667](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B75%7D%3D%5Cfrac%7Bx%7D%7B100%7D%5C%5C75x%3D2000%5C%5C75x%2F75%3D2000%2F75%5C%5Cx%3D26.6666667)
Rounded to the nearest hundredth, the Royals lost 26.667 % of their games.
chan eil agad ach sgrùdadh a dhèanamh air google!
5x-50 = 30-15x, 20x = 80, x = 4,
x=4!