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ilpark0125
19.06.2021 •
Mathematics
Determine the equation of the circle graphed below.
( please help me )
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Ответ:
(x - 3)² + (y + 5)² = 10
Step-by-step explanation:
The equation of a circle in standard form 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) = (3, - 5 ) , then
(x - 3)² + (y - (- 5) )² = r² , that is
(x - 3)² + (y + 5)² = r²
r is the distance from the centre to a point on the line
Calculate r using the distance formula
r =![\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }](/tpl/images/1379/4389/05e0c.png)
with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (6, - 4)
r =![\sqrt{(6-3)^2+(-4+5)^2}](/tpl/images/1379/4389/dfddf.png)
=![\sqrt{3^2+1^2}](/tpl/images/1379/4389/30194.png)
=![\sqrt{9+1}](/tpl/images/1379/4389/6fc65.png)
=
⇒ r² = (
)² = 10
(x - 3)² + (y + 5)² = 10 ← equation of circle
Ответ:
the domain of THIS function is d