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Zarrin [17]
3 years ago
6

Why is the answer for #6 A?

Mathematics
1 answer:
alexandr1967 [171]3 years ago
6 0
Remember that f(a) is the same thing as y just about. So the y value is -2. That's the flat part of the graph about. 

You need an x value that is along the flat part of the graph. 

The flat part goes from x = - 1 to x = 0

You need a value between 0 and - 1. The only value there that does that is B. 
I don't know why the answer was given to you as A. It is not correct. Sometimes questions are like that. There's just an error in them. Appeal it with your teacher.

B <<<<<< answer.
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What is the coordinate of the circumference of the circle ?
vlabodo [156]

Answer:

(\frac{1}{2}, \frac{-1}{2}) is the right option.

Step-by-step explanation:

Let us consider the triangle ΔVUW.

The given figure shows that the angle at vertex V is 90°. So, it is a right triangle. So, the side UW will be the hypotenuse of the right triangle ΔVUW.

If we draw perpendicular bisectors of the three sides of this right triangle, the hypotenuse UW will have a midpoint at which these perpendicular bisectors would meet. This midpoint on hypotenuse UW would be the circumcenter of a this right angle triangle ΔVUW.

If we circumscribe a circle around this right triangle, this triangle will have circumcenter, which would also become the center of that circle.

This hypotenuse UW could be also treated as diameter of the circle, as the center of circumscribed center would lie on hypotenuse UW.

The coordinates of U is (-3 ,2) and the coordinates of W is (4,-3).

Midpoint of UW could be determined by this formula:

(\frac{x_{1} + x_{2}}{2},\frac{y_{1} + y_{2}}{2})

So,

Midpoint of UW = (\frac{-3 + 4}{2},\frac{2 + (-3)}{2})

Midpoint of UW = (\frac{1}{2},\frac{-1}{2})

So, the coordinates of circumcenter will be: (\frac{1}{2}, \frac{-1}{2})

As we know that If we circumscribe a circle around this right triangle, this triangle will have circumcenter, which would also become the center of that circle.

Hence,

The coordinates of circumcenter will also be the coordinate of circumference of the circle which would be (\frac{1}{2}, \frac{-1}{2}).

So, (\frac{1}{2}, \frac{-1}{2}) is the right option.

Keywords: circumcenter, triangle, circumference, perpendicular bisector

Learn More about circumcenter of triangle from brainly.com/question/7098737

#learnwithBrainly

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