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olganol [36]
3 years ago
5

2. Write the equation of the circle in general form

Mathematics
1 answer:
Anon25 [30]3 years ago
5 0
(-1,-2) and (-1,4)
so these have same x values, but different y values, so these are on differnt sidef of circle

distanc between them is 6
6/2=3
radius=3

so move 3 units up from (-1,-2)
(-1,1)
so

if center is (h,k) and radius is r then
(x-h)^2+(y-k)^2=r^2

(-1,1) is center and r=3

(x-(-1))^2+(y-1)^2=3^2
(x+1)^2+(y-1)^2=9
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ANSWER

x = 50.5 \degree

EXPLANATION

We use the sine rule for solving triangles.

This is given by the formula,


\frac{ \sin(A) }{a}  =  \frac{ \sin(B) }{b}  = \frac{ \sin(C) }{c}


From the triangle,

\frac{ \sin(x) }{60}  =  \frac{ \sin(40) }{50}

We multiply both sides of the equation by 60 to get,

sin(x)  =  \frac{ 60\sin(40 \degree) }{50}


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We solve for x to obtain,

x = arcsin(0.7713)


x = 50.475

To the nearest tenth, we round to one decimal place to get,

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