To draw the median of the triangle from vertex A, the mid point of BC must be determined. The median of the vertex A is given at (-1/2, 1). See explanation below.
<h3>How you would draw the median of the triangle from vertex A?</h3>
Recall that B = (3, 7)
and C = (-4, -5).
- Note that when you are given coordinates in the format above, B or C = (x, y)
- Hence the mid point of line BC is point D₁ which is derived as:
D₁ 
, ![(\frac{7-5}{2}) ]](https://tex.z-dn.net/?f=%28%5Cfrac%7B7-5%7D%7B2%7D%29%20%5D)
- hence, the Median of the Vertex A = (-1/2, 1).
Connecting D' and A gives us the median of the vertex A. See attached graph.
<h3>What is the length of the median from C to AB?</h3>
Recall that
A → (4, 2); and
B → (3, 7)
Hence, the Midpoint will be
, ![(\frac{2+7}{2} )]](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%2B7%7D%7B2%7D%20%29%5D)
→ 
Recall that
C → (-4, 5)
Hence,
= ![\sqrt{[(-4 -\frac{7}{2} })^{2} + (-5-\frac{9}{2} )^{2} ]](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%28-4%20-%5Cfrac%7B7%7D%7B2%7D%20%7D%29%5E%7B2%7D%20%20%2B%20%28-5-%5Cfrac%7B9%7D%7B2%7D%20%29%5E%7B2%7D%20%5D)
Simplified, the above becomes
= √(586)/2)
= 24.2074/2
= 12.1037
The length of the Median from C to AB ≈ 12
Learn more about Vertex at;
brainly.com/question/1435581
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Error = 1/2(Maximum range - Minimum range) = 1/2(3.2-1.1) = % = 0.0105
If p is the point estimator;
Then,
Minimum range = p - Error
Maximum range = p + Error
Solving one of the two expressions,
0.011 = p - 0.0105 => p = 0.011+0.0105 = 0.0215 = 2.15%
Answer:
7.5 hours
Way Number One:
<em>This way uses critical thinking</em>
These two trucks are traveling in opposite directions (West and East). One truck moves 49 miles every hour, and the other moves 63 miles per hour. Since they are traveling in opposite directions, we do not have to worry about angles or use a distance formula.
Every hour one truck moves 49 and the other 63. So, if we add 49 to 63 we will get their distance apart after one hour.
-> 49 + 63 = 112 miles
Now, we want to know how long it will take for them to be 840 miles apart. We can divide 840 by 112 to see how many hours it will take, because every hour the trucks become 112 miles farther apart.
-> 840 / 112 = 7.5 hours
Way Number Two:
<em>This way uses a graphing calculator</em>
We can turn the distance traveled by each truck into equations. Let y be miles traveled and x be time spent.
First truck, y = 49x
Second truck, y = 63x
We know their distance apart will be the miles traveld added together, so y = 63x + 49x. Our answer will be x when y is equal to 840. After graphing, we get the point of (840, 7.5)
-> See attached
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
