By using the given information about the inverse relation, we will get:
- Equation: y = -28/x
- Solution: y = -14
<h3>
How to get the relation between x and y?</h3>
First, we know that y varies indirectly with x, then we can write the relation as:
y = k/x.
Where k is a constant.
Then, we know that when y = 7, we have x = -4.
Replacing these we can find the value of k:
7 = k/(-4)
7*(-4) = k = -28
Then the relation between x and y is:
y = -28/x.
Now, we want to find the value of y when x = 2, then we just replace that in the above equation:
y = -28/2 = -14
So we have:
- Equation: y = -28/x
- Solution: y = -14
If you want to learn more about indirect variation:
brainly.com/question/6499629
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Answer:
D
Step-by-step explanation:
The average rate of change of a function over an interval a ≤ x ≤ b is found by:

Here, a is 0 and b is 3, so: 
Just plug in 3 for the first term and 0 for the second term in the numerator:
- First term: 
- Second term: 
So, the final answer is:
![\frac{[\frac{1}{2} (3^{3\frac{1}{2} })+3]-[\frac{1}{2} (3^{\frac{1}{2} })+3]}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5B%5Cfrac%7B1%7D%7B2%7D%20%283%5E%7B3%5Cfrac%7B1%7D%7B2%7D%20%7D%29%2B3%5D-%5B%5Cfrac%7B1%7D%7B2%7D%20%283%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%29%2B3%5D%7D%7B3%7D)
Thus, the answer is D.
Hope this helps!
The circumcenter is found by finding the intersection of at least 2 perpendicular bisector segments.
Find the perpendicular bisector to segment AB. This is the line y = -3.5; the idea is that you find the equation of the horizontal line through the midpoint of AB. The midpoint has a y coordinate of -3.5. This line is shown in red horizontal line in the attached image below.
The midpoint of AC is 2.5, so the perpendicular bisector to AC is x = 2.5 which is shown as the vertical green line in the same diagram.
The red and green lines cross at the location (2.5, -3.5) which is the circumcenter's location. If you were to draw a circle through all three points A, B, & C, then this circle would be centered at (2.5, -3.5)
If point D is the circumcenter, then we know this
AD = BD = CD
basically the distance from the center to any point on the triangle is the same. This is due to the fact that all radii of the same circle are the same length.
<h3>Answer: (2.5, -3.5)</h3>
note: 2.5 in fraction form is 5/2 while -3.5 in fraction form is -7/2