Rewrite the equation in vertex form. y = x2 - 6x + 18
2 answers:
Complete square!
Vertex form is (x-h)^2+k
meaning that the vertex is located at (h,k).
3^2=9
vertex form, h=3, k=9, vertex is located at (3,9)
Edited 2018-03-18
There was a suggestion to explain the completion of square as
x^2-6x=(x-3)^2-9.
However, this does not show where the (x-3) come from.
If this is a better explanation for any or all of you, here it is.
Vertex form is (x-h)^2+k
meaning that the vertex is located at (h,k).
vertex form, h=3, k=9, vertex is located at (3,9)
Edited 2018-03-18
There was a suggestion to explain the completion of square as
x^2-6x=(x-3)^2-9.
However, this does not show where the (x-3) come from.
If this is a better explanation for any or all of you, here it is.
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We have to find the" ratio of the area of sector ABC to the area of sector DBE".
Now,
the general formula for the area of sector is
Area of sector= 1/2 r²θ
where r is the radius and θ is the central angle in radian.
180°= π rad
1° = π/180 rad
For sector ABC, area= 1/2 (2r)²(β°)
= 1/2 *4r²*(π/180 β)
= 2r²(π/180 β)
For sector DBE, area= 1/2 (r)²(3β°)
= 1/2 *r²*3(π/180 β)
= 3/2 r²(π/180 β)
Now ratio,
Area of sector ABC/Area of sector DBE =
= 4/3