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payshencec21
12.04.2021 •
Mathematics
#6. For a different project, Mr. Silva bought Green and Black paint containers. The Green paint comes in a 3-oz container costing $3 each. The Black paint comes in a 2-oz container costing $7 each. Mr. Silva used a total of 150-oz of paint and spent a total of #375 on the project. How many Green and Black containers did he use?
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Ответ:
(x-h)²+(y-k)²=r²
center is (h,k) and radius is r
complete the square for each
(x²+4x)+(y²-6y)=-4
take 1/2 of each linear coefienet and square it
4/2=2, 2²=4
-6/2=-3, (-3)²=9
add that to both sides
(x²+4x)+4+(y²-6y)+9=-4+4+9
(x²+4x+4)+(y²-6y+9)=9
complete the squares
(x+2)²+(y-3)²=3²
(x-(-2))²+(y-3)²=3²
the center is (-2,3) and radius is 3