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dunayahsu
03.09.2020 •
Mathematics
Find the distance between these two lines y=-(1)/(3)x+7 and y=-(1)/(3)x-3??? plz help
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Ответ:
radius=5, centre=(-1,-2)
Step-by-step explanation:
You need to complete the square for both x and y.
breaking the equation up we find that:
in completed square form =
which simplifies to
. Remember that you complete the square by halving the "b" value and then squaring it. 2/2 squared=1. Also, the one that you add to complete the square must be added to the other side of the equation to get 20+1.
Now onto the y value
in completed square form =
. The 4 that you add to get it into the quadratic form must be added on other side of the equal sign to get 20+1+4.
the final equation is![(x+1)^2+(y+2)^2=25(r^2)\\radius=\sqrt{25} =5](/tpl/images/0709/7184/fc8c8.png)