malikthomas
18.12.2019 •
Mathematics
Find the equation of a circle with a center of(5, 7) where a point on the circle is (10, 19)
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Ответ:
(x - 5)² + (y - 7)² = 169
Step-by-step explanation:
The standard form of the equation of a circle is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (5, 7), thus
(x - 5)² + (y - 7)² = r²
The distance from the centre to a point on the circle is the radius
Calculate the radius using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (5, 7) and (x₂, y₂ ) = (10, 19)
r =
=
= = = 13, hence
(x - 5)² + (y - 7)² = 169 ← equation of circle
Ответ:
y=−2(x−3)2+10
y=−2x2+12x−8
Step-by-step explanation: