Answer:
Parallel
Step-by-step explanation:
Parallel lines have the same slope but different y-intercepts. If you multiply the top equation by 2, you get:
2(12x + 4y = 16)
24x + 8y = 32
This shows that both lines have the same slope, but then you find the y-intercepts, they are different:
1st equation y-int = 4
2nd equation y-int = 9/2 or 4.5
Initial: 200 feet = opp. side
Angle = 17.31, adj. Side = a
So tan (17.31) = opp. Side / adj. Side
tan (17.31) = 200 / a
--> a = 200/tan17.31 = 641.73
When stopped: adj. Still = a
Opp. Side still = 200, angle = 46.41
tan46.41 = 200 / a
--> a = 200/tan46.41 = 190.39
Now subtract those two distances to get the distance traveled from initial to when it stopped:
641.73 - 190.39 = 451.34 feet
Answer:
2. proven 3.Given 4.Given
Step-by-step explanation: I'll take this down if it is incorrect.
Answer: 5x(x+3)
Step-by-step explanation: hope this helps
<span>a) define the variables
The variables are x and y ; x can represent the number of times Aleah goes swimming ; while y can represents the number of times Aleah goes skating.
b) are there any restrictions on the variables?
The total sum of both activities must be equal or less than $80 a month
c) write a linear inequality to represent this situation
</span><span>Swimming costs $5 each time and skating costs $4 each time. No more than $80 a month.
5x + 4y <u><</u> 80
You can graph linear inequality using these coordinates.
x y
16 0
12 5
8 10
4 15
0 20</span>
