Find three consecutive odd integers such that the sum of 7 times the smallest and twice the largest is -91.
1 answer:
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The center is (-1, -2) and the radius of the circle is 5.
<h3>What is the equation of a circle?</h3>The circle equation formula refers to the equation of a circle which represents the center-radius form of the circle.
A circle can be represented as;
Where; h and k are the center of the circle r is the radius of the circle.
The given equation of the circle is;
Comparing both the equations;
Hence, the center is (-1, -2) and the radius of the circle is 5.
Learn more about circle here;
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Answer:
Minimum value of function is 63 occurs at point (3,6).
Step-by-step explanation:
To minimize :
Subject to constraints:
Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line
Eq (2) is in green in figure attached and region satisfying (2) is below the green line
Considering , corresponding coordinates point to draw line are (0,9) and (9,0).
Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line
Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)
Now calculate the value of function to be minimized at each of these points.
at A(0,9)
at B(3,9)
at C(3,6)
Minimum value of function is 63 occurs at point C (3,6).
