Answer:
The vertex form is 
Step-by-step explanation:
We use the formula d = rt where d = distance, r = rate, t = time
Equation for Sam:


Equation for Sam's father:

d = (12)(t - 0.33)
d = 12t - 4
Since Sam and his father have the same distance from their home to Sam's school, then
2t = 12t - 4
4 = 12t - 2t
4 = 10t
4/10 = t
t = 0.4 hrs or 24 mins
Sam travel 24 mins from home to school and his father travel 4 mins from home to school. Therefore, it was about 8:24 when Sam's father give the project to Sam.
To find the miles for 3rd day, we take away the miles she biked for the first two day from the total.




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Answer: She traveled 13 23/56 miles on the third day.-----------------------------------------------------------------------------------
Answer:
The two lines are not parallel.
Step-by-step explanation:
Every linear equation follows this structure:
y = mx + b
y is the y value
x is the x value
m is the gradient/slope of the line
b (or sometimes c) is the y-intercept of the line
Firstly, we have to get the y term on one side by itself.
6x + y = -1
-6x -6x
y = -6x - 1
-2x -5y = 1
+2x +2x
-5y = 2x + 1
Secondly, we make it so the y term is just the y value.
The first equation is already like this, so we don't need to do anything to that.
-5y = 2x + 1
÷ -5 ÷ -5
y = (2x + 1) / -5
This can be expanded and simplified to:
y = -2/5x - 1/5
Thirdly, we have to compare the slopes and y-intercepts.
y = -6x - 1
y = 2/5x - 1/5
If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.
Answer:
They're both equal.
Step-by-step explanation:
If you simplify 36/24, its 3/2. (36 divided by 24 = 3/2.)
9/6 simplified is 3/2. (9 divided by 6 = 3/2.)
3/2 = 3/2.