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Find the standard form of the equation of the circle with endpoints of a diameter at (4, 3) and (0, 1).
I think the midpoint must be found here.
If that's the case, let M = midpoint.
M = (2, 2)
I now need r.
Let r = the distance from any of the endpoints of the circle to the midpoint.
I will use the endpoint (0, 1).
r = sqrt{(0 - 2)^2 + (1 - 2)^2}
r = sqrt{5}
Plug r into x^2 + y^2 = r^2.
x^2 + y^2 = (sqrt{5})^2
My answer is x^2 + y^2 = 5.
Yes?
The greatest truth about the Rapture is not its timing but it's reality.
Dr. David Jeremiah
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What is the standard form of the equation of the circle whose radius is sqrt(5) and its center (0,0)?
It is:
x^2 + y^2 = 5
And this is your answer here though the center of your given circle is at M(2, 2) which you did well in finding it.
Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).
But only a human may have the freedom and ability to oppose his natural robotic nature.
But, by opposing it, such a human becomes no more of this world.
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What is the standard form of the equation of the circle whose radius is sqrt(5) and its center (0,0)?
It is:
x^2 + y^2 = 5And this is your answer here though the center of your given circle is at M(2, 2) which you did well in finding it.
Is it right or wrong? It's either yes or no....
The greatest truth about the Rapture is not its timing but it's reality.
Dr. David Jeremiah
Offline
KerimF wrote:What is the standard form of the equation of the circle whose radius is sqrt(5) and its center (0,0)?
It is:
x^2 + y^2 = 5And this is your answer here though the center of your given circle is at M(2, 2) which you did well in finding it.
Is it right or wrong? It's either yes or no....
Ok, it is wrong.
The center of your circle is at (0, 0). It should be at M(2, 2) as you found out.
Last edited by KerimF (2024-03-03 01:38:21)
Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).
But only a human may have the freedom and ability to oppose his natural robotic nature.
But, by opposing it, such a human becomes no more of this world.
Offline
FelizNYC wrote:KerimF wrote:What is the standard form of the equation of the circle whose radius is sqrt(5) and its center (0,0)?
It is:
x^2 + y^2 = 5And this is your answer here though the center of your given circle is at M(2, 2) which you did well in finding it.
Is it right or wrong? It's either yes or no....
Ok, it is wrong.
The center of your circle is at (0, 0). It should be at M(2, 2) as you found out.
Ok. Copy.
Let r = 5
(x - h)^2 + (y - k)^2 = r^2
(x - 2)^2 + (y - 2)^2 = 25
Yes?
The greatest truth about the Rapture is not its timing but it's reality.
Dr. David Jeremiah
Offline
It is right.
Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).
But only a human may have the freedom and ability to oppose his natural robotic nature.
But, by opposing it, such a human becomes no more of this world.
Offline
It is right.
Now I'm cooking with gas.
The greatest truth about the Rapture is not its timing but it's reality.
Dr. David Jeremiah
Offline