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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Answer:
A: Southeast
B: Northwest
C: Southwest
D: Northeast
Step-by-step explanation:
It looks like you have the domain confused for the range! You can think of the domain as the set of all "inputs" for a function (all of the x values which are allowed). In the given function, we have no explicit restrictions on the domain, and no situations like division by 0 or taking the square root of a negative number that would otherwise put limits on it, so our domain would simply be the set of all real numbers, R. Inequality notation doesn't really use ∞, so you could just put an R to represent the set. In set notation, we'd write
and in interval notation,
The <em>range</em>, on the other hand, is the set of all possible <em>outputs</em> of a function - here, it's the set of all values f(x) can be. In the case of quadratic equations (equations with an x² term), there will always be some minimum or maximum value limiting the range. Here, we see on the graph that the maximum value for f(x) is 3. The range of the function then includes all values less than or equal to 3. As in inequality, we can say that
,
in set notation:
(this just means "f(x) is a real number less than or equal to 3")
and in interval notation:
![(-\infty,3]](https://tex.z-dn.net/?f=%20%28-%5Cinfty%2C3%5D%20)
Answer:
m∠SVT = 79*
Step-by-step explanation:
8y - 33 = 5y + 9
8y = 5y + 42
3y = 42
y = 14
_____
5y + 9
5(14) + 9
70 + 9
79
