Answer:
(0,4)
Step-by-step explanation:
The line AD is a median, because D is the midpoint of BC.
The centroid is the point of intersection of three medians of triangle, we don't need to depict any another median, because we know that centroid divide each median in ratio 2:1 from the vertices of a triangle from which a median was depicted. That's obvious that the median AD was depicted from A. Let the point of centroid be M. AM:MD is 2:1. So we should find the coordinates of D
xD= (xa*1+xd*2)/ (2+1)= ((-4)*1+2*2)/3=0
yd= (ya*1+yd*2)/ (2+1)= (2*1+ 5*2)/3=12/3=4
(0,4)
For b you will substitute your x values for 0 and the. 1
For c make you're velocity o and use the quadratic formula and you will find your x values
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>
There are other ways to write 3 as a fraction because it is a whole number. For example, it can be written as 3/1; 24/8; 36/12 these are all numbers that can equal 3
It will be in the College Level Math section of that test suite.