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kirza4 [7]
3 years ago
9

What is the center? (x + 1)2 + (y - 3)2 = 36

Mathematics
1 answer:
Elanso [62]3 years ago
7 0

Answer:

(-1, 3)

Step-by-step explanation:

The centre of any circle in the form

(x+\alpha)^2+(y+\beta)^2 = r^2\\

Is always

(-\alpha, -\beta)

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Drawing this square and then drawing in the four radii from the center of the cirble to each of the vertices of the square results in the construction of four triangular areas whose hypotenuse is 3 sqrt(2).  Draw this to verify this statement.  Note that the height of each such triangular area is (3 sqrt(2))/2.

So now we have the base and height of one of the triangular sections.

The area of a triangle is A = (1/2) (base) (height).  Subst. the values discussed above,   A = (1/2) (3 sqrt(2) ) (3/2) sqrt(2).  Show that this boils down to A = 9/2.

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3 years ago
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Step-by-step explanation:

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