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autumnkiewel200
09.06.2021 •
Mathematics
Write the standard equation of a circle with center (-1, 4) and radius 5
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Ответ:
(x + 1)² + (y - 4)² = 25
Step-by-step explanation:
The general equation for a circle is given by the formula;
x² + y² + 2hx + 2ky + c = 0 equation 1.
Where the center is C(-h, -k)
Also, the standard form of the equation of a circle is;
(x - h)² + (y - k)² = r² equation 2.
Where;
h and k represents the coordinates of the centre.
r represents the radius of the circle.
Given the following data;
h = -1
k = 4
r = 5
Substituting into eqn 2, we have;
(x - {-1})² + (y - 4)² = 5²
Simplifying further, we have;
(x + 1)² + (y - 4)² = 25
Ответ:
A
Step-by-step explanation: