Answer:
When you join points D(2,3),O(0,0)and E(5,1) which are not collinear it will form a triangle.
Now , Adjacent of ∠ DOE are [ ∠ ODE and ∠OED] .
As we know that Sum of three interior angles of a triangle is 180°.
∠ DOE + ∠OED+∠EDO = 180°
∠DOE=180°- (∠OED+∠EDO)
Supplementary ,of ∠DOE is (∠OED+∠EDO).
Answer:
(x+1)^2+(y+4)^2=16
Step-by-step explanation:
equation of the circle
(x-x0)^2+(y-y0)^2=r^2
where x0 and y0 is center of circle
and r is radius of the circle.
we know that the center point is the middle of the diameter
so x0=(x1+x2)/2
x0=(3+(-5))/2=-2/2=-1
y0=(-4+(-4))/2=-8/2=-4
so the midpoint or the center of circle is the points (-1,-4)
the formula to find the distance between two. points is √[(x2-x1)^2+(y2-y1)^2]
so r is the distance between the center point and one of the diameter endpoints.
let us take points (3,-4) and center point (-1,-4)
√(-1-3)^2+(-4-(-4))^2=
√(-4)^2+0^2=
√16=4
so the radius of the circle is 4
now the equation of the circle will be
(x-(-1))^2+(y-(-4))^2=4^2
(x+1)^2+(y+4)^2=16
He can get 16 songs while still having $13 left over.
<span>40 + 1 + 0.3 + 0.02 (: hope this helped..<em><u>
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