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lexas2894
15.11.2019 •
Mathematics
He equation of circle having a diameter with endpoints (-3, 1) and (5, 7) is
a.(x - 4)² + (y - 3)² = 25
b.(x - 1)² + (y - 4)² = 25
c.(x - 1)² + (y - 4)² = 100
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Ответ:
If you have the end points of the diameter, if you find the middle of the two points, youre at the center of your circle.
the midpoint of (-3,1) and (5,7) is (1,4). To find the radius, get your center and go to one end point. You will notice you travel 4 units in the x plane and 3 units in the y. Use the Pythagorean theorem (a^2+b^2=c^2) to find your radius (in this case your radius is 5).
Once you have your radius and your center, you can find the equation for any circle.
(x-1)^2 + (y-4)^2 = 25^2 is your answer because (x-1) means your x-value of the center is 1 and (y-4) means the y-value of the center is 4. and 25 is r^2 meaning your radius is 5.
I hope my answer has come to your help. Thank you for posting your question here in .
Ответ:
A
Step-by-step explanation:
Self explanatory.