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ValentinkaMS [17]
3 years ago
11

Find the coordinates of the circumcenter for triangle DEF with coordinates D(1,3) E(8,3) and F(1,-5) show your work

Mathematics
1 answer:
nikklg [1K]3 years ago
6 0

One leg is horizontal, on the line y=3. Another leg is vertical, on the line x=1. The point where these intersect, D(1, 3) is the vertex of a right angle. Any right triangle inscribed in a circle has its hypotenuse as the diameter of the circle.

Since the triangle is a right triangle, the circumcenter is the midpoint of the hypotenuse: ((8, 3) + (1, -5))/2 = (4.5, -1).

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Answer:

Hence the function which has the smallest minimum is: h(x)

Step-by-step explanation:

We are given function f(x) as:

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We know that the minimum value attained by the sine function is -1 and the maximum value attained by sine function is 1.

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Hence, the minimum value of f(x) is: 11-4=7 ( when sine function is equal to 1)

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The solution to the given system of linear equations is (3, -1)

<h3>Graph of Linear Equations</h3>

From the question, we are to determine the graph of the system of linear equations

The given system of equations is

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The graph of the given system of equation is shown below

From the graph,

The point of intersection of the lines is at (3, -1)

Hence, the solution to the given system of linear equations is (3, -1)

Learn more on Graph of Linear equations here: brainly.com/question/14323743

#SPJ1

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