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The constant M-circle represented by the equation x2 + 2.25x + y2 = -1.25 has the value of M equal to:
- a)1
- b)2
- c)3
- d)4
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The constant M-circle represented by the equation x2 + 2.25x + y2 = -1...
Given equation:
The given equation is x^2 + 2.25x + y^2 = -1.25.
Equation of a circle:
The equation of a circle with center (h, k) and radius r is given by (x-h)^2 + (y-k)^2 = r^2.
Comparing the given equation with the equation of a circle:
Comparing the given equation with (x-h)^2 + (y-k)^2 = r^2, we can rewrite the given equation as:
(x+1.125)^2 + (y-0)^2 = (1.25)^2.
So, the center of the circle is (-1.125, 0) and the radius is 1.25.
Radius and diameter:
The radius of a circle is the distance from the center of the circle to any point on the circumference. The diameter of a circle is twice the radius.
In this case, the radius of the circle is 1.25 units. Therefore, the diameter is 2 * 1.25 = 2.5 units.
Constant M:
The constant M in the equation represents the diameter of the circle.
Calculating M:
In the given equation, the value of M can be found by calculating the diameter of the circle.
The equation x^2 + 2.25x + y^2 = -1.25 represents a circle with a diameter of 2.5 units.
Therefore, the value of M is 2.5 units.
Answer:
The value of M in the equation x^2 + 2.25x + y^2 = -1.25 is 2.5 units.
Since none of the given options match the value of M = 2.5, the correct answer cannot be determined from the given options.
The given equation is x^2 + 2.25x + y^2 = -1.25.
Equation of a circle:
The equation of a circle with center (h, k) and radius r is given by (x-h)^2 + (y-k)^2 = r^2.
Comparing the given equation with the equation of a circle:
Comparing the given equation with (x-h)^2 + (y-k)^2 = r^2, we can rewrite the given equation as:
(x+1.125)^2 + (y-0)^2 = (1.25)^2.
So, the center of the circle is (-1.125, 0) and the radius is 1.25.
Radius and diameter:
The radius of a circle is the distance from the center of the circle to any point on the circumference. The diameter of a circle is twice the radius.
In this case, the radius of the circle is 1.25 units. Therefore, the diameter is 2 * 1.25 = 2.5 units.
Constant M:
The constant M in the equation represents the diameter of the circle.
Calculating M:
In the given equation, the value of M can be found by calculating the diameter of the circle.
The equation x^2 + 2.25x + y^2 = -1.25 represents a circle with a diameter of 2.5 units.
Therefore, the value of M is 2.5 units.
Answer:
The value of M in the equation x^2 + 2.25x + y^2 = -1.25 is 2.5 units.
Since none of the given options match the value of M = 2.5, the correct answer cannot be determined from the given options.
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Community Answer
The constant M-circle represented by the equation x2 + 2.25x + y2 = -1...
Comparing with the M circle equation we have the value of M = 3.
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The constant M-circle represented by the equation x2 + 2.25x + y2 = -1.25 has the value of M equal to:a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer?
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