High School

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Raj tested his new flashlight by shining it on his bedroom wall. The beam of the light can be described by the equation:

\[ x^2 + y^2 - 2x - 4y - 31 = 0 \]

How many inches wide is the beam of light on the wall?

Answer :

Answer:

12 inches.

Step-by-step explanation:

Did the question, got it right.

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Rewritten by : Barada

I can get it into standard form of that certain conic section by completing the square

































(x^2-2x)+(y^2-4y)-31=0































(x^2-2x+1-1)+(y^2-4y+4-4)-31=0































(x-1)^2-1+(y-2)^2-4-31=0































(x-1)^2+(y-2)^2-36=0































(x-1)^2+(y-2)^2=36































(x-1)^2+(y-2)^2=6^2

in form
(x-h)^2+(y-k)^2=r^2
r=radius
so how wide it is is the diameter which is 2 times of radius

6=radius
6 times 2=12

12 inches I assume if the units in equation is in inches