Answer: 460.6 miles South of Chicago
Explanation:
1) <span>The City of New Orleans leaves Union Station in Chicago at 6:00 am and
travels south to New Orleans. The train travels the 930.0 miles to New Orleans at an average speed of 79.0 miles per hour.
Scheme:
→to south ←to north
|----------------------|---------------------|
A x X 930.0 - x B
6:00 am 6:00 am
→ ←
v = 79.0 mi/h v = 81.1 mi/h
=> x = 79.0 mi/h * t
2) at the same time the City of Chicago leaves New Orleans and travels north to Nhicago. The
train travels the 930.0 miles to Chicago at an average speed of 81.1
miles per hour.
930.0 - x = 81.1 mi/h * t
3) How many miles south of chicago do the two trains pass
each other?
Divide the two equations:
930.0 - x 81.1*t
------------- = ----------
x 79*t
t cancels out =>
930.0 - x 81.1
------------- = --------
x 79.0
Solve:
81.1x = 79.0(930.0 - x)
81.1x = 79.0 * 930.0 - 79.0x
81.1x + 79.0x = 73,470
=> 160.1x = 73,470
=> x = 73,470 / 160.1
=> x = 460.6 mi
4) Answer 460.6 miles South of Chicago.
</span>
Answer:
1. 1,605
2. -605
3. 21,575
Step-by-step explanation:
Step-by-step explanation:
The domain is x. The range is y (or in this case F(x)).
Plug in the numbers in the number set to get a number set for your y.
When the domain is -2:
f(-2) = 2(-2) + 4
f(-2) = -4 + 4
f(-2) = 0
When the domain is -2, the range is 0.
(-2 , 0)
When the domain is 0:
f(0) = 2(0) + 4
f(0) = 0 + 4
f(0) = 4
When the domain is 0, the range is 4.
(0 , 4)
When the domain is 3:
f(3) = 2(3) + 4
f(3) = 6 + 4
f(3) = 10
When the domain is 3, the range is 10.
(3 , 10)
True
The two shorter lengths do not add up to more than the longest length. 3+3 is less than 9. Therefore, even if the two shorter lengths lay on top of the longer side, the two ends cannot meet to form a closed 3 sided figure
